Sides that match up between two similar figures are called corresponding sides.
Use the diagram of two similar triangles to complete the statements below.
The person's shadow in the smaller triangle corresponds to the _________ in the larger triangle.
A. Height of the Flag Pole
B. Shadow of the Flag Pole
C. Longest side
The longest side of the large triangle corresponds to the ________ side of the small triangle.
A. Shortest
B. Vertical
C. Longest
Answers
Corresponding sides in similar figures match up. The person's shadow in the small triangle corresponds to the shadow of the Flag Pole in the large triangle. The longest side of the large triangle corresponds to the Longest side of the small triangle.
Explanation:Corresponding sides in similar figures are the sides that match up.
In the given diagram of two similar triangles, the person's shadow in the smaller triangle corresponds to the shadow of the Flag Pole in the larger triangle.
The longest side of the large triangle corresponds to the Longest side of the small triangle.
Related Questions
Find all local extrema and saddle points of the function ,
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A model for my number has 2 hundreds blocks no tens blocks and 3 ones blocks
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200 + 0 + 3
203
Bertie is x years old now. Four years ago, Chloe was twice as old as Bertie. Write an expression for Chloe's age now.
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Four years ago, Bertie was x - 4 years old.
Chloe was twice Bertie's age 4 years ago, so 4 years ago,
Chloe was 2(x - 4), and 2(x - 4) = 2x - 8.
Now, Chloe is 4 years older than she was 4 years ago,
so now, Chloe is (2x - 8) + 4 = 2x - 4 years old.
The present Age of Chloe is 2x - 4 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Bertie is x years old now.
Four years Ago,
Chloe was twice as old as Bertie.
Bertie Age four years ago = x - 4
So, Chloe Age four years ago = 2(x- 4) = 2x- 8
Now, Chloe is 4 years older than she was 4 years ago,
Then, Chloe present age is (2x - 8) + 4 = 2x - 4 years old.
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Jose rented a truck for one day. There was a base fee of $14.99 , and there was an additional charge of 83 cents for each mile driven. Jose had to pay $238.26 when he returned the truck. For how many miles did he drive the truck?
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the perimeter of a rectangle is 24 centimeters. It's length is 9 centimeters. find the width
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The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $ 6$6 per pound with some Orange Pekoe tea that sells for $ 4$4 per pound to get 600600 pounds of the new blend. The selling price of the new blend is to be $ 4.50$4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
Answers
To find the quantities of Earl Grey and Orange Pekoe tea needed to make a 600-pound blend that sells for $4.50 per pound, we use the mixture price formula, leading to a linear equation representing the total cost of blending these teas.
Explanation:The manager wants to blend Earl Grey tea ($6 per pound) and Orange Pekoe tea ($4 per pound) to produce 600 pounds of a new blend selling for $4.50 per pound without affecting revenue. To determine the required pounds of each tea, we can use the mixture price formula: total cost = (quantity of Earl Grey × price of Earl Grey) + (quantity of Orange Pekoe × price of Orange Pekoe). Since the total pounds are given as 600, let the quantity of Earl Grey be x pounds and Orange Pekoe (600 - x) pounds. The equation becomes $4.50 × 600 = $6 × x + $4 × (600-x). Solving this equation gives us the quantities of Earl Grey and Orange Pekoe required.
PLEASE HELP ASAP!!I WILL GIVE BRAINLIEST AND 5 STARS AND HEART AND PROFILE COMMENT (4 QUESTIONS)!!!!
Identify the corresponding word problem given the equation: x + 5 = 15
A) Billy is ten years older than his sister, Jenny. If Billy is 15 years old,
how old is Jenny?
B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old,
how old is Jenny?
C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
how old is Jenny?
D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old,
how old is Jenny?
Identify the corresponding word problem given the inequality: x ≤ 4.50
A) The price of diesel has been less than $4.50 for the last month.
B) The price of diesel has been more than $4.50 for the last month.
C) The price of diesel has been no more than $4.50 for the last month.
D) The price of diesel has been no less than $4.50 for the last month.
Identify the corresponding word problem given the equation: x - 9.2 = 12.8
A) Nick ran 9.2 miles less than Perry last week. If Nick ran 22 miles, how many miles did Perry run?
B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
C) Perry ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
D) Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
Identify the corresponding word problem given the equation: x + 12.50 = 55.75
A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before?
C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before?
D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?
Answers
C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
----------------------
Identify the corresponding word problem given the inequality: x ≤ 4.50
C) The price of diesel has been no more than $4.50 for the last month.
---------------------
Identify the corresponding word problem given the equation: x - 9.2 = 12.8
B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
x = 12.8 + 9.2 = 22
Perry ran 22 miles
----------------------
Identify the corresponding word problem given the equation: x + 12.50 = 55.75
A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
x = 55.75 - 12.50 = 43.25
Before he had $43.25
Josie has $47 left on her checking account. If she writes a check for $55, what ill josie's balance be?
Answers
Answer:
Step-by-step explanation:
Josie's balance would be -8 dollars.
47-55=-8
Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what fraction did he keep?
Answers
This can be solved by creating a simple equation.
[tex]1/4+1/6+x=1[/tex]
Solve for x.
[tex]1/4+1/6+x=1[/tex]
Find the LCM.
[tex]3/12+2/12+x=1[/tex]
[tex]5/12+x=1[/tex]
Add -5/12 to both sides.
[tex](5/12+x)+(-5/12)=(1)+(-5/12)[/tex]
Simplify.
[tex]x=1/1-5/12[/tex]
Find the LCM.
[tex]x=12/12-5/12[/tex]
[tex]x=7/12[/tex]
He kept 7/12 of the raisins for himself.
Hope this helps.
-Benjamin
Jessica's lab is 12 times as long as her hamster. Her hamster is 4.16 inches long. How long is her lab?
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Key words - times
49.92
Jessica's lab is 49.92 inches long
i hope this helps!!
Is the converse of the following conditional true?
If b≤2, then b≥2.
yes
or
no
Answers
Is 124 a prime number or not explain why (u can do division to)
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Use the formula for interest. P= $250 r= 7.2% Y= 15 A= ?
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Answer:
value of A is $520
Step-by-step explanation:
Calculate the amount 'A' by using formula:-
A = P ( 1 + r * Y )
Where A is amount, P is principle , r is rate of interest and Y is time in years
Now, put the given values in A = P ( 1 + r * Y ) to get the value of A.
Since, P= $250, r= 7.2% and Y= 15
r = 7.2% so r = 0.072
A = P ( 1 + r * Y )
A = $250 ( 1 +0.072 * 15 )
A = $250 ( 1 + 1.08 )
A = $250 ( 2.08 )
A = $520
Hence, value of A is $520
The type of a parameter whose type is omitted in a function definition is
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10x + 16 ≥ 6x + 20 what is the answer to this
Answers
Subtract both sides by 16
10x ≥ 6x + 4
Subtract both sides by 6x
4x ≥ 4
Divide both sides by 4
x ≥ 1
Have an awesome day! :)
Answer:
The solution of given inequality is x ≥1.
Step-by-step explanation:
The given inequality is
[tex]10x+16\geq 6x+20[/tex]
We need to separate the variable terms to solve the above inequality.
Subtract 6x and 16 from both sides to separate the variables on left side.
[tex]10x+16-6x-16\geq 6x+20-6x-16[/tex]
On combining like terms we get
[tex](10x-6x)+(16-16)\geq (6x-6x)+(20-16)[/tex]
[tex]4x\geq 4[/tex]
Divide both sides by 4.
[tex]x\geq \frac{4}{4}[/tex]
[tex]x\geq 1[/tex]
Therefore the solution of given inequality is x ≥1.
Need help with problem, been stuck on it for a while
Answers
[tex]\bf \textit{diameter of a circle}\\\\ d= 2r\qquad \boxed{r=\frac{1}{4}}\implies d=2\cdot \cfrac{1}{4}\implies d=\cfrac{1}{2}\\\\ -------------------------------\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \boxed{r=\frac{1}{4}~,~\pi =\cfrac{22}{7}}\implies C=2\left( \frac{22}{7} \right)\left( \frac{1}{4} \right) \\\\\\ C=\cfrac{2\cdot 22\cdot 1}{7\cdot 4}\implies C=\cfrac{11}{7}\\\\ -------------------------------\\\\[/tex]
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \boxed{r=\frac{1}{4}~,~\pi =\cfrac{22}{7}}\implies A=\left( \frac{22}{7} \right)\left( \frac{1}{4} \right)^2 \\\\\\ A=\cfrac{22}{7}\cdot \cfrac{1^2}{4^2}\implies A=\cfrac{22}{7}\cdot \cfrac{1}{16}\implies A=\cfrac{11}{56}[/tex]
The sum of three consecutive integers is 267. What is the largest integer?
Answers
middle number = 267 / 3 = 89
88 + 89 +90 = 267
largest number = 90
A person must score in the upper 2% of the population on an iq test to qualify for membership in mensa, the international high-iq society (us airways attache, september 2000). there are 110,000 mensa members in 100 countries throughout the world (mensa international website, january 8, 2013). if iq scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for mensa (to the nearest whole number)?
Answers
To qualify for Mensa, a person must have an IQ score in the top 2% of the population. Using the normal distribution with a mean of 100 and standard deviation of 15, the minimum qualifying IQ score is approximately 131.
Explanation:To qualify for Mensa, an individual must have an IQ score within the top 2 percent of the population. Given that the IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can use the Z-score formula to find the corresponding IQ score.
The Z-score that corresponds to the top 2 percent can be found using a standard normal distribution table or a calculator with inverse normal function. The Z-score for the 98th percentile is approximately 2.05. We can then use the Z-score formula:
Z = (X - Mean) / Standard Deviation
Substituting the values we have:
2.05 = (X - 100) / 15
Solving for X gives us:
X = 2.05 * 15 + 100
X = 130.75
Therefore, the minimum IQ score required to qualify for Mensa, to the nearest whole number, is 131.
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the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?
Answers
[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) B&({{ 2}}\quad ,&{{ -3}})\quad % (c,d) C&({{ 10}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2} \\\\\\ \cfrac{4}{8}\implies \cfrac{1}{2}[/tex]
now, a line perpendicular to that one, will have a negative reciprocal slope, thus
[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\ slope=\cfrac{1}{{{ 2}}}\qquad negative\implies -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}[/tex]
now, we know the slope "m" of AB is -2 then, thus
[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ a}}\quad ,&{{ 3}})\quad % (c,d) B&({{ 2}}\quad ,&{{ -3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2} \\\\\\ \cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a \\\\\\ -1=a[/tex]
The value of a is -1
What do perpendicular lines have a slope of?
Perpendicular lines have slopes that are negative reciprocals of each other. The given line's slope is 5, which means that the slope of the opposite line must be its negative reciprocal.
Conclusion: The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that is the slope of the line is -1/m.
let the slope of line AB is m1 and the slope of line BC be m2
m1= 3+3/a-2 = 6/a-2
m2=1+2/10-2 = 1/2
m1 * m2 = -1
6/a-2 * 1/2 = -1
3 = -a+2
a = -1
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a cylinder has a volume of 83 in3 and is 10 in. tall what is the radius of the cylinder in inches use 3.14 and round to the nearest 10th
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Write each expression as the product of two factors 2x1+(1+7)+(7x2)
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The expression as the product of two factors is (1 + 7)(2 + 1).
What is termed as the product of the factors?A factor is a number which divides another number by itself and leaves no remainder. In other words, so unless multiplying two whole numbers yields a product, the numbers being multiplied are factors of a product because the product is divisible by them.Factors can be found using two methods: multiplication and division. Furthermore, rules of divisibility could be applied.For the given question, the expression is;
= 2x1 + (1+7) + (7x2)
First, search for numbers that share a factor.
Consider the factors (2 x 1) and (7 x 2); this same common factor is two, so we factor.
= (2 x 1) + (7 x 2) + (1 +7)
Taking 2 common from first two numbers.
= 2 (1 + 7 ) + (1 + 7)
Now, take (1+7) common from both.
= (1 + 7)(2 + 1)
Thus, the expression as the product of two factors is (1 + 7)(2 + 1).
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brian irons 2/9 of his shirt in 3 3/5 minutes. how much of his shirt does he iron each minute
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a rectangle is 4 centimeters longer than it is wide. the area is 117 square centimeters. find the dimensions of the rectangle
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Answer:
width: 9 cmlength: 13 cmStep-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Whats between 0.4 and 0.5
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Remember that trailing zeroes (the zeroes after the end of a decimal fraction) don't alter the number itself, so we can also write 0.4 and 0.5 as 0.40 and 0.50, 40 hundredths and 50 hundredths. Since 45 is halfway between 40 and 50, it makes sense that 45 hundredths - 0.45 in decimal form - is halfway between 40 and 50 hundredths.
The numbers between 0.4 and 0.5 are 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, and 0.49.
Used the concept of the number system states that
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Here, the two numbers are 0.4 and 0.5
So, all the numbers that are between 0.4 and 0.5 are,
0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49
Therefore, the numbers are 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, and 0.49.
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A multivitamin tablet contains 0.16g of vitamin C. How much vitamin C does a bottle of 60 tablets contain?
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0.16 tims 60 is 9.6
7,080,267 written in expanded form
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then this will be easy.
when ever it asks for expanded for that means your answer has to be bigger than the number your given.
for your question:
you have 7,080,267
so u first do the biggest value which is the first 7 on the left.
and then work your way down to the smallest which would be 7 on the right.
7000000
000000
80000
0000
200
60
7
that is the numbers expanded
but now u have to write it in the fom so you just add a + after each number
7000000+000000+80000+0000+200+60+7
you can shorten it by removing the numbers with no value:
7000000+80000+200+60+7
The number 7,080,267 in expanded form is written as the sum of each digit multiplied by its place value: 7,000,000 + 80,000 + 800 + 200 + 60 + 7.
Explanation:To write the number 7,080,267 in expanded form, we break it down into each digit's place value and represent it as the sum of each digit multiplied by its place value.
The expanded form of 7,080,267 is:
7,000,000 + 80,000 + 800 + 200 + 60 + 7
This shows that there are seven millions, eighty thousands, eight hundreds, two hundreds, six tens, and seven ones.
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Use the slope formula to find the slope of the line passing through the given points. (–4, 7) and (0, 8)
Answers
Hi there!
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{8-7}{0-(-4)}=\frac{1}{4}[/tex]
Final answer is 1/4.
Slope is 1/4.
Hope this helps!
Thanks!
-Charlie
Have a nice day! :)
:D
An equation that represents the set of points that are 2 units from (-2,-6)
Answers
(x-x0)^2+(y-y0)^2=r^2
where (x0,y0) is the given point (-2,-6), and r=radius=2.
Substituting, the equation is then
(x-(-2))^2+(y-(-6))^2=2^2, or
(x+4)^2+(y+6)^2=4......(1)
The equation representing the set of points that are 2 units from the point (-2,-6) is a circle with equation (x + 2)^2 + (y + 6)^2 = 4
The question asks for an equation that represents the set of points that are exactly 2 units from the point (-2,-6) in a coordinate system. This set of points forms a circle with a radius of 2 units centered at (-2,-6). The equation for a circle with radius r and center (h, k) is (x - h)² + (y - k)² = r². Thus, the equation of the circle is (x + 2)² + (y + 6)² = 2² or (x + 2)² + (y + 6)² = 4
Tabitha found the side length of a cube with a volume of 512 cubic centimeters using the following steps. Cube V = s3
Answers
Answer:
the answer is 3cm
HOPE THIS WORKED
Step-by-step explanation:
I JUST ANSWERED THIS ON EDG
The volume of a cube is given as 512 cubic cm then the side length of the cube is 8 mm.
What is the volume of a cube?The volume of a cube can be calculated as the cube of the sides of a given figure.
The volume of a cube = [tex]sides^3[/tex]
We have been given that the volume of a cube is 512 cubic cm. We need to find the side length of the cube.
The volume of a cube = [tex]sides^3[/tex]
64 = [tex]sides^3[/tex]
Now we will take cube-root on both sides of the equation;
∛ 512 = ∛ s^3
∛ 8^3 = ∛ s^3
8 = s
Therefore, the side length of the cube is 8 cm.
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which description matches the function that represents by the values in this table?
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Hiya :)
d. exponential growth
Have a great day!!!
Hope this helped!!
:)))))