Answers
To prove RS = TU, we can use the congruence of corresponding parts of congruent triangles. By the side-angle-side (SAS) congruence postulate, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. Therefore, RS = TU.
Explanation:To prove that RS = TU, we need to show that the lengths of RS and TU are equal. In order to do this, we can use the congruence of corresponding parts of congruent triangles. Let's assume that triangles RST and TUV are congruent.
By the side-angle-side (SAS) congruence postulate, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Since RST and TUV are congruent, we can conclude that RS and TU are congruent as well. Therefore, RS = TU.
Related Questions
The standard recommendation for fluid needs is 30 ml/kg body weight. parker weighs 67 kg. how many cups of fluid will he need? (give your answer to the nearest tenth. give only the value. do not write the word cup or its abbreviation.)
Answers
what is the midpoint coordinates of segment HX H(13,8) X(-6,-6)
Answers
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
so the midpoint of HX is the mdpoint of (13,8) and (-6,-6)
which is
[tex](\frac{13-6}{2},\frac{8-6}{2}=[/tex]
[tex](\frac{7}{2},\frac{2}{2}=[/tex]
[tex](3.5,1)[/tex]
the midpoint is (3.5,1)
When one thing is ten times as large as another, it is said to be "an order of magnitude" larger. a hundred times larger is two orders of magnitude. a thousand is three orders of magnitude. by how many orders of magnitude is the empire state building taller than a chair seat?
Answers
1,500 feet = 1.5 feet x 1,000
Thus, the empire state building is about a thousand times taller than a chair seat.
Therefore, the empire state building is taller than a chair seat by three orders of magnitude.
Evaluate the function at the given value of the independent variable and simplify f(x)= x^2 + 1
Answers
the standard form is : ax²+bx+c
a =1 b = 0 and c= 1 because : x²+1 = 1x² +0x +1
value of the independent variable and simplify f(x)= x² + 1 is : c = 1
solve for the 20 points
Answers
t + 1.24 = 5.8
t + 1.24 (-1.24) = 5.8 (-1.24)
t = 4.56
hope this helps
Answer:
t=4.56
Step-by-step explanation:
t+1.24=5.8
t=4.56
What is the sum of 2.5 × 10^4 and 3.4 × 10^4?
Answers
The sum of 3.4 x 10^4 is 34000
If you combine that it is 59000
3.4*10^4= 34000
I need help please!!!! Jon buys t shirts online for his friends. the table below shows the cost including the shipping fee. write a verbal description that describes the relationship
Answers
so equation
c = 3 + 12t
if t = 1 then c(cost) = 3 + 12(1) = 3 + 12 = 15
if t = 2 then c(cost) = 3 + 12(2) = 3 + 24 = 27
if t = 3 then c(cost) = 3 + 12(3) = 3 + 36 = 39
if t = 4 then c(cost) = 3 + 12(4) = 3 + 48 = 51
Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year
Answers
Answer:
Value of her investment after 2years is £12,362.7
Step-by-step explanation:
The question is incomplete, here is the complete question.
"Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after two years"
Using the relationship:
A = P(1+r/100)^n
Where P is the principal = amount invested = £12000
r is the compound interest = 1.5%
n is the time = 2years
A is the amount compounded after n years
A = 12000(1+1.5/100)²
A = 12000(1+0.015)²
A = 12000(1.015)²
A = 12000(1.03)
A = 12362.7
Value of her investment after 2years is £12,362.7
What is the conclusion in this conditional statement?
If a square has a perimeter of 8 units, then its sides have a length of 2 units each.
the square has a perimeter of 8 units
the sides of the square have a length of 2 units each
Submit
Answers
The conclusion in the given conditional statement is that the sides of the square have a length of 2 units each. This is deduced from the formula for the perimeter of a square (P = 4 × side length), and the given perimeter of 8 units.
Explanation:The conclusion in the conditional statement "If a square has a perimeter of 8 units, then its sides have a length of 2 units each" is the sides of the square have a length of 2 units each.
In a conditional statement, the "if" part is known as the hypothesis and the "then" part is the conclusion. Given that a square's perimeter is the sum of the lengths of all four sides, we can show this through an equation: P = 4 × s, where P represents the perimeter and s the length of one side. Since the perimeter is given as 8 units, we can solve for s by dividing the perimeter by 4: 8 units = 4 × s, which simplifies to s = 2 units. Therefore, each side of the square must be 2 units long.
Final answer:
The conclusion in this conditional statement is that the sides of the square have a length of 2 units each.
Explanation:
The conclusion in this conditional statement is:
The sides of the square have a length of 2 units each.
In a conditional statement of the form 'if A, then B', the conclusion (B) is the statement that follows 'then'. In this case, the conclusion states that the sides of the square have a length of 2 units each.
what is the square root of 61 to the nearest integer?
Answers
8
work:
take the square roots around 61.
the square root of 8 is 64,
the square root of 7 is 49.
61 is closer to 64.
Integers cannot be fractions, so the answer of 7.8 is rounded up to 8!
hope this helps, have a great day!
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
(3, 2)
(−3, −2)
(−2, 3)
(−3, 2)
Answers
Answer:
(2,-3) changes to (3,2)
A is correct.
Step-by-step explanation:
Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin.
[tex]R_{90\circ}(x,y)\rightarrow (-y,x)[/tex]
Rotation is counterclockwise about origin.
[tex](x,y)\rightarrow (-y,x)[/tex]
We are given coordinate
[tex](2,-3)\rightarrow (3,2)[/tex]
We can see in diagram also. Please see the attachment for rotation.
Hence, (2,-3) changes to (3,2)
Answer:
Point would be (3,2).
Step-by-step explanation:
Given: point (2, −3) after a counterclockwise rotation of 90° about the origin.
To find: What are the coordinates after rotation.
Solution: We have given that point (2, −3).
By transformation rotation 90° (x,y)→→→(-y,x).
Then point (2, −3) would be (-(-3),2) .
Then (3 ,2)
Therefore, Point would be (3,2).
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
Answers
The error is in third step where 2(–12) is -24 and not 24 thus the correct result is 6.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given expression is,
2(4 – 16) – (–30)
solving the bracket,
2(–12) – (–30)
expanding the bracket we get,
-24 – (–30)
this is the error in the given work where 2(–12)– (–30) = 24– (–30)
Thus open the bracket,
-24 + 30
solving we get,
6
which is the correct answer.
Thus, the error is in third step where 2(–12) is -24 and not 24 thus the correct result is 6.
To learn more about expressions:
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What is 12/7 written as a mixed number in simplest form
Answers
----- = 1----
7 7
Hope this helps
1. Graph the system of inequalities.
–2x + 3y ≥ –12
x + y < 3
how do i graph on a word doc?
Answers
see attached picture of how graph should look.
search through word for a graph icon, you should be able to do this in Word.
S=p-0.2t solve for p
Answers
p = S + 0.2t
hope that helps
Answer:
The required equation is [tex]S+0.2t=p[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]S=p-0.2t[/tex]
We need to solve the equation for p.
Isolate the variable as shown.
Add 0.2t from both sides.
[tex]S+0.2t=p-0.2t+0.2t[/tex]
[tex]S+0.2t=p[/tex]
Hence, the required equation is [tex]S+0.2t=p[/tex]
If 3.485 ÷ 5.1 is written in long division form as so that the divisor is written as a whole number, where should the decimal point be placed in the dividend
Answers
If the highest score in a distribution is x = 16 and the lowest is x = 4, then the range is 12 or 13 points.
a. True
b. False
Answers
The range in the given scenario is only 12 points, not 12 or 13 points as mentioned.
False
Range = Highest score - Lowest score
Range = 16 - 4 = 12
Therefore, the range can only be 12 points.
Jennifer and Margaret have to make brownies for a bake sale. Jennifer can bake a dozen brownies in 20 minutes and Margaret can bake 15 brownies every half hour. Jennifer bakes for 1 hour and 40 minutes and Margaret bakes for 2 hours. How many brownies do the girls have for the sale altogether?
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A 0.5-kg ball accelerated at 50 m/s2 . What force was applied?
Answers
What is the domain of 2x+5
Answers
hope this helps
What is 60% of 7?????
Answers
60% = 0.60
7*0.6 = 4.2
I need help 2/3 - 4/10
Answers
Can somebody help me with this one?
Answers
p = sticker price (in dollars)
Note: the sticker price is what the customer pays after the discount
Another note: This is ignoring any taxes or other fees
We're told that the sale price is the result of taking 10% off the sticker price. This means...
sale price = (sticker price) - (10% of sticker price)
s = p - 0.10*p
s = 1*p - 0.10*p
s = (1 - 0.10)*p
s = (0.90)*p
s = 0.90*p
So the expression for the sale price is 0.90*p where p is the sticker price in dollars.
Note: this means that the sale price is 90% of the sticker price.
----------------------------------------
Now plug in the sticker price p = 80 to find the sale price s
s = 0.90*p
s = 0.90*80
s = 72
The sale price is $72 which is what the customer will pay (if we ignore any taxes or other fees).
Does adding zero to a number ever change its value? what is this property called?
Answers
Gth of a square tile is 8.0cm what is the approximatenlength of the tile in inches
Answers
8cm = 3.13inch
Evaluate. 62+(3⋅4)−24 Enter your answer in the box. plz help mehh someone out there ty
Answers
74-24=50
The value of expression 62+(3⋅4)−24 is 50
What is PEMDAS ?
A rule of operations explains the correct order in which math expressions should be evaluated, and we can remember those steps using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Here, the expression is given as 62+(3⋅4)−24 now using PEMDAS rule to solve this expression first by solving under bracket terms 3x4 = 12 and then adding 62 and 12, then subtract it by 24 to get the final answer.
62+(3⋅4)−24
62 + 12 -24
74 - 24
50
Therefore, the value of expression 62+(3⋅4)−24 is 50
Read more about additive identity at:
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The floor of a conference hall can be covered completly with tiles.Its length is 36ft. longer than its width.The area of the floor is less than 2040square ft.How would you represent the with of the floor?How about its lenght?What mathematical sentence would represent the given situation?What are the possible dimensions of the floor?How about the possible areas of the floor?Would it be realistic for the floor to have an area of 144sq.ft?Explain your answer.
Answers
x=width of the floor
x+36= length of the floor
Since area = length x width, we can write the equation:
x(x+36)<2040 ft² (this is your mathematical sentence
Make a chart of the possible values:
x | x+36| Area
30 66 = 1980 fits
31 67 = 2077 *too big
So, all dimensions with length smaller than 30 and widths smaller than 66 fit the system.
x(x+36)=144? Let's try smallest numbers - width of 1 ft, length of 37 ft
1(37)=37 too small
3(39)=117 nope
4(40)=160 nope
So, no, 144 ft² is not a realistic answer.
W<30; The width of the floor will be less than 30feet
The possible area of the floor is 1885 sq. ftSince 144 sq.ft ≠ 1885feet², hence it would not be realistic for the floor to have an area of 144sq.ft
The formula for calculating the area of the conference floor is expressed as:
A = LW
L is the length
W is the width
If the length is 36ft. longer than its width, hence;
L = W+36
Since the area of the floor is less than 2040 square feet, hence;
A < 2040
LW < 2040
(W+36)W < 2040
W² + 38W < 2040
W² + 38W - 2040 < 0
W² + 68W - 30W - 2040 < 0
W(W+68)- 30(W+68)< 0
(W-30)(W+68) < 0
W - 30 < 0 and W < -68
W < 30
Since the width cannot be negative, hence the width of the floor will be less than 30feet
Since L = 36 + W
L < 36 + 30
L < 66feet
The length of the floor will be less than 66feet
The possible dimensions area 29feet by 65feet since the width is less than 30 and the length is less than 66feet.
Get the possible area:
Possible area = 29 × 65
Possible area = 1885feet²
Since 144 sq.ft ≠ 1885feet², hence it would not be realistic for the floor to have an area of 144sq.ft
Learn more here: https://brainly.com/question/21067938
solve the equation c²=4
Answers
Answer:
c = 2, c = -2
Step-by-step explanation:
The question is asking us to solve the equation [tex]\sf{c^2=4}[/tex].
To solve it, we take the square root of each side. Note that once we do this, we will have 2 solutions.
[tex]\sf{\sqrt{c^2}=\sqrt{4}}[/tex]
[tex]\sf{c=2,c=-2}[/tex]
Therefore, this equation has two solutions, which are c = 2 and c = -2.
Wastewater is filling barrels at the rate 7 quarts per hour.The recycling facility picks up 25 full barrels each trip, and each barrel hold 48 quarts of wastewater. How many days are between each pickup
Answers
25 *48 = 1200 total quarts
1200/7 = 171.43 hours
171.42/24 = 7.14 days
so every 7 days
PLEASE HELP!!
(x-7)^3 (x+2)^2 (x-13) <0