Answers
All angles are the same and all side lengths are equal/congruent
Congruent triangles are triangles that have the same size and shape, with corresponding sides and angles that are equal. They can be proven congruent using criteria such as SSS, SAS, and ASA.
Explanation:**Congruent triangles** are triangles that have the same size and shape. In other words, all corresponding sides and angles of congruent triangles are equal. There are several ways to prove that triangles are congruent, such as the Side-Side-Side (SSS) Criteria, Side-Angle-Side (SAS) Criteria, Angle-Side-Angle (ASA) Criteria, and more. For example, if two triangles have the same length for each corresponding side, they are congruent.
Related Questions
When the following quadratic equation is written in standard form, what is the value of c?-3/4 x^2+2=0
Answers
When the quadratic equation is written in standard form the value of c is 8
To find the value of c when the quadratic equation -3/4 x² + 2 = 0 is written in standard form (ax² + bx + c = 0), follow these steps:
Move the constant term to the right side:
-3/4 x² = -2
Multiply both sides by -4/3 to get the standard form:
4x² = 8
Identify the coefficient of x² (a) and the constant term (c):
In this case, a = 4 and c = 8.
Therefore, when the equation is written in standard form, c = 8.
I don’t know these property’s!
Answers
1) 3rd down.
2) 2nd down.
3) 1st down.
4) 6th down.
Find the quartiles for these data values of 5, 7, 7, 8, 10, 11, 12, 15, 17
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The median {Q2} is 10
Q1 is 7+7/2 which is 7
Q3 is 15+12/2 which is 13.5
Final answer:
The quartiles for the data set (5, 7, 7, 8, 10, 11, 12, 15, 17) are found by arranging the data in order and then finding the medians of the lower and upper halves. The first quartile (Q1) is 7, the median (Q2) is 10, and the third quartile (Q3) is 13.5.
Explanation:
To find the quartiles for the data set (5, 7, 7, 8, 10, 11, 12, 15, 17), you first arrange the data in ascending order, which is already done. The median (Q2) is the middle value when the data set is in order, so since there are 9 data points, the median is the fifth value, which is 10.
The first quartile (Q1) is the median of the lower half of the data. For our data set, the lower half is (5, 7, 7, 8), so the median of this set is the average of the middle two values because we have an even number of data points in the lower half. Thus, Q1 is (7 + 7)/2 = 7.
The third quartile (Q3) is the median of the upper half of the data. For our dataset, the upper half is (11, 12, 15, 17). Similarly, since this is an even set, Q3 is the average of the middle two values, (12 + 15)/2 = 13.5.
Therefore, the quartiles for this data set are:
First quartile (Q1): 7Median (Q2): 10Third quartile (Q3): 13.5Is this equation even or odd? Please answer asap
Answers
Answer:
The equation represents an even function
Step-by-step explanation:
For the function above, the value of f(x) is fixed at 3 for positive or negative values of x.
For the absolute value function below, the value of f(x) will always be positive due to the absolute symbol.
In general, a function f(x) is said to be even if;
f(-x) = f(x) such that the function is symmetrical with respect to the y-axis.
At a garden center, grass seed sells for $8 per pound. Kalil spent $10 on grass seed. What amount of seed did he buy?
Answers
£10= 1 1/4 pounds of grass seed
Step-by-step explanation:
All you have to do is divide 8 into 10 which equals, 0.8 seeds
{x^{2} +1/x^{2} }=66 find x-1/x
Answers
Answer:
Step-by-step explanation:
The solution is attached herewith.
Answer:
x = ± 8
Step-by-step explanation:
Note that
(x - [tex]\frac{1}{x}[/tex])² = x² - 2 + [tex]\frac{1}{x^2}[/tex] = 66 - 2 = 64
Take the square root of both sides
x - [tex]\frac{1}{x}[/tex] = ± [tex]\sqrt{64}[/tex] = ± 8
42 is 15% of what number here is to help you people on this question
is/of=%/100
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280
42 times 100 divided 15 equals 280.
how many triangles can be made if two sides are 4 inches and the angle between them is 90
Answers
Answer:
it's either two or three. Sorry for the short answer.
Step-by-step explanation:
In part, this lesson will look at the process of buying a house. True False
Answers
Answer:
True
Step-by-step explanation:
Ya just yeet it on your paper
Answer:
true
Step-by-step explanation:
odyssey ware
Will mark BRAINLIEST!!! Need answer ASAP!!!
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
y > 5
y ≥ x
Answers
Answer:
The fourth graph with the long dotted line shows the system.
Step-by-step explanation:
By graphing both inequalities and shading, you'll find that the overlap shows the fourth graph. Also, there was no need to ask here, you really could have just used desmos.com, it's a great online graphing tool.
Answer:
4th graph : )
Step-by-step explanation:
A cylinder has a radius of 10 cm and a height of 9 cm. A cone has a radius of 10 cm and a height of 9 cm. Show that the volume of a cylinder is three times the volume of the cone. someone help me out
Answers
Step-by-step explanation:
We start with the formulas for the volumes of a cylinder and a cone.
Cylinder:
[tex] V_{cylinder} = \pi r^2 h [/tex]
Cone:
[tex] V_{cone} = \dfrac{1}{3} \pi r^2 h [/tex]
Now we calculate the two volumes.
Cylinder:
[tex] V_{cylinder} = \pi r^2 h [/tex]
[tex] V_{cylinder} = \pi \times (10~cm)^2 \times 9~cm [/tex]
[tex] V_{cylinder} = \pi \times 100~cm^2 \times 9~cm [/tex]
[tex] V_{cylinder} = 900 \pi~cm^3 [/tex]
Cone:
[tex] V_{cone} = \dfrac{1}{3} \pi \times (10~cm)^2 \times 9~cm [/tex]
[tex] V_{cone} = \dfrac{1}{3} \pi \times 100~cm^2 \times 9~cm [/tex]
[tex] V_{cone} = 300 \pi~cm^3 [/tex]
The volume of the cylinder is 900pi cm^3, and the volume of the cone is 300pi cm^3.
Now we divide the volume of the cylinder by the volume of the cone.
[tex] \dfrac{900 \pi~cm^3}{300 \pi~cm^3} = 3 [/tex]
Dividing the volume of the cylinder by the volume of the cone gives us 3, showing that the volume of the cylinder is 3 times the volume of the cone.
The volume of a cylinder is three times the volume of a cone.
Explanation:To show that the volume of a cylinder is three times the volume of a cone, we need to compare their formulas. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.
Let's calculate the volume of the cylinder first. Given that the radius (r) is 10 cm and the height (h) is 9 cm, we can substitute these values into the formula: V = π(10 cm)²(9 cm) = 900π cm³.
Now let's calculate the volume of the cone. Again, substituting the values for r and h, we have V = (1/3)π(10 cm)²(9 cm) = 300π cm³.
Comparing the volumes, we have 900π cm³ for the cylinder and 300π cm³ for the cone. Dividing the volume of the cylinder by the volume of the cone, we get (900π cm³) / (300π cm³) = 3. This shows that the volume of the cylinder is three times the volume of the cone
Can you conclude that this parallelogram is a rectangle? Explain.
Answers
To conclude if a parallelogram is a rectangle, we need to check if its opposite sides are congruent and if its angles are right angles.
Explanation:To determine if a parallelogram is a rectangle, we need to check if its opposite sides are congruent and if its angles are right angles.
In a rectangle, opposite sides are congruent and all angles are right angles (90 degrees).
So, if we can prove that the given parallelogram has congruent opposite sides and right angles, then we can conclude that it is a rectangle.
Alternatively, we can also look for other properties of rectangles such as diagonals being congruent or the presence of perpendicular bisectors.
A conclusion that be drawn based on the parallelogram include the following: C. No; the diagonals may not be congruent.
In Mathematics and Euclidean Geometry, a rectangle is a type of quadrilateral or polygon in which its opposite sides are equal and all the angles that are formed are right angles.
Generally speaking, the diagonals of a rectangle divide it into two equal parts and this implies that, the two diagonals of any rectangle are congruent.
In this scenario, we can logically deduce that this parallelogram is not a rectangle because its diagonals may not be congruent, as no congruence symbols were shown.
What is the vertex of the quadratic function f(x)=(x-6)(x+2)
Answers
Answer:
vertex = (2, - 16)
Step-by-step explanation:
given
f(x) = (x - 6)(x + 2) ← equate to zero to find the zeros
(x - 6)(x + 2) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, hence
[tex]x_{vertex}[/tex] = [tex]\frac{6-2}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Substitute x = 2 into f(x) for corresponding y- coordinate of vertex
f(2) = (2 - 6)(2 + 2) = - 4 × 4 = - 16
vertex = (2, - 16)
Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP
Answers
Answer: 294.4 m²
Step-by-step explanation:
Separate the shaded region into two parts:
The section containing the central angle of 230° (360° - 130°)The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)[tex]1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3[/tex]
[tex]2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1[/tex]
Area of shaded region = Area of (1) + Area of (2)
= 247.3 + 47.1
= 294.4
Answer:
294.36
Step-by-step explanation:
Find the area of the entire circle.
Subtract out the area of a sector with 130 degrees for the central angle.
Add the area of the isosceles triangle with an apex angle of 130 degrees.
Area of The entire circle
Area = pi * r^2
Area = 3.14 * 11.1^2
Area = 386.88 m^2
Area of the sector with 130 degrees for a central angle
Area_130 = (130/360) * pi * r^2
Area_130 = (130/360) * 3.14* 11.1^2
Area_130 = 139.71
Area of the triangle
1/2 central angle = 130/2 = 65
Bisect the apex angle so that each half = 65 degrees.
Sin(65) = opposite / hypotenuse
Sin(65) = Opposite / 11.1
11.1 * sin(65) = opposite
opposite = 10.06
This is 1/2 the base so the base = 2*10.06 = 20.12
The height of the triangle is found by cos(65) = adjacent/hypotenuse
hypotenuse = 11.1
Cos(65) = adjacent / hypotenuse
adjacent = hypotenuse * cos(65)
adjacent = 4.69 This is the height of the triangle.
Area of the triangle = 1/2 * 20.12 * 4.69
Area of the triangle = 47.19 m^2
Area of the Shaded Area
Area of entire circle - area of sector + area of triangle
=386.88 - 139.71 + 47.19
=294.36
Note
The area of the triangle could be done using Area = 1/2 * 11.1^2 * (2*sin(65)*cos(65) = 1/2 * 11.1^2 * sin(130) = 47.2 but you may not know all the math to do the area this way.
Solace this pleasehdbfbfbf
Answers
A=bh and since the garden is 2 1/2 by 2 and the trench+garden= 3 1/2 by 3 the trench would be 1 by 1. So A=1x1 = 1
Answer:11/2 m sq
Step-by-step explanation:
Area of the garden =L•W
2 1/2•2=
5/2•2= 5 m sq
Area of the garden & trench =L•W
3 1/2•3 =
7/2•3 =
7•3/2=
21/2 m sq
21/2-5 =
21/2-10/2=
21-10/2=
11/2
The area of the trench is 11/2 m sq
what is x, the length of the diagonal, to the nearest whole number
Answers
Answer:
It’s (A) 16
Step-by-step explanation:
It just is
The length of the diagonal x= 5 units( nearest whole number) in the given parallelogram.
What is diagonal?" Diagonal is defined as the length between the opposite vertices of the given polygon."
Formula used
Cosine law
[tex]a^{2} =b^{2} +c^{2} -2bc Cos A[/tex]
According to the question,
In the given parallelogram PQRS
In ΔPQS
PQ = 6units
PS = 4 units
QS = x units
∠QPS = 55°
Apply cosine law to get the length of the diagonal we have,
[tex]x^{2} = 6^{2} +4^{2} -2(6)(4)Cos 55\°[/tex]
⇒ [tex]x^{2} = 36 +16 -48( 0.5736)[/tex]
⇒[tex]x^{2} = 24.4672[/tex]
⇒[tex]x= 4.946[/tex]
⇒ x≈5 ( nearest whole number)
Hence, the length of the diagonal x= 5 units( nearest whole number) in the given parallelogram.
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The ratio of the side lengths of a triangle is 10.5 :18 :22.5. The perimeter of the triangle is 408 centimeters. Determine whether the triangle is a right triangle.
Answers
Answer:
Step-by-step explanation:
The “correct way to use the info to answer this problem is:
Add the “ratio sides” 10.5 + 18 + 22.5 = 51
then decide what the scaling factor is: 51 times what is 408? Or 408 divided by 51 is what .
Answer is 8
So multiply each side length by 8 and use Pythagorean’s theorem
(remember that hypotenuse (c) is the longest side)
10.5 x 8 =84 84^2 + 144^2 = 180^2
18 x 8 = 144. 7056 + 20736 = 32400
22.5 x 8 = 180 27792 = not equal. So it’s not a rt. triangle
Realistically that used huge numbers that you don’t have to...
you could have just used Pythagorean’s Theorem on the ratio sides
10.5^2 + 18^2 = 22.5^2
110.25 + 324 = 506.25
434.25 = nope still doesn’t work
name the polynomial based on degree and number of terms. 7x^2+2x+5
Answers
2nd degree trinomial
Which model represents 140%
Answers
Answer: The answer is H
Which of the following would be appropriate to measure in centimeters?
the length of a paperclip
the yearly increase in a child's height
the width of a swimming pool
the distance between Philadelphia and New York City
the height of a standard ceiling
Answers
Answer:
Centimeter is a small measuring unit, usually used to measure small things like the length of a pencil.
Let us check all the options:
1. the length of a paperclip - yes it can be measured in cm. Like a standard paperclip is 3.5 cm long.
2. the yearly increase in a child's height - Yes it can be measured in cm.
3. the width of a swimming pool - No, it can be measured in feet or meters.
4. the distance between Philadelphia and New York City - No, it can be measured in km or miles.
5. the height of a standard ceiling - No, it can be measured in feet.
Which of the following is equal to the expression below?
(8*320)1/3
Answers
The answer is 853.33333-
Answer:
for plato users its 8 [tex]\sqrt[3]{5}[/tex]
Step-by-step explanation
please mark as Brainliest
The local weather report states that there is more than a 2/3 chance of rain for Saturday.
What is the likelihood that it will rain on Saturday?
Answers
The likelihood is 66.67% or about 67%. Hope this helped!
Answer: B. It is likely to rain on Saturday.
Step-by-step explanation:
How much did each fish weight
Answers
Amberjack: 91 pounds
White marlin: 364 pounds
Tuna: 455 pounds
an equation in slope-intercept form for the line that passes through (4,-4) and is parallel to 3+4x=2y-9
Answers
Answer:
[tex]\large\boxed{y=-\dfrac{1}{2}x-2}[/tex]
Step-by-step explanation:
[tex]\text{The slope-intercept form:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\======================[/tex]
[tex]\text{If}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\ \text{are\ parallel, then}\ m_2=-\dfrac{1}{m_1}\\===========================[/tex]
[tex]\text{We have the equation of a line:}\ 3+4x=2y-9.\\\text{Convert it to the slope-intercept form:}\\\\2y-9=3+4x\qquad\text{add 9 to both sides}\\\\2y=12+4x\qquad\text{divide both sides by 2}\\\\y=6+2x\\\\y=2x+6\to m_1=2\\\\\text{therefore}\ m_2=-\dfrac{1}{2}\\\\\text{We have the equation:}\ y=-\dfrac{1}{2}x+b\\\\\text{Put the coordinates of the given point (4, -4) to the equation:}\\\\-4=-\dfrac{1}{2}(4)+b\\\\-4=-2+b\qquad\text{add 2 to both sides}\\\\-2=b\to b=-2\\\\\text{Finally we have the equation:}\ y=-\dfrac{1}{2}x-2[/tex]
plz help 13 points 2 questions 7th grade
Answers
Answer:
11 is -1 `0 is c
Step-by-step explanation:
11 you subtract 1 from each 10 look for points on griid
Write the product as a power 15×15×15×15
Answers
Hopefully this helps
Answer:
15^4
Step-by-step explanation:
The $120 repair bill included $36 for parts and rest for labor. What percent of the bill was for labor?
Answers
Answer:
30%
Step-by-step explanation:
70% of the $120 repair bill was for labor, calculated by subtracting the cost of parts from the total bill and then finding the percentage of the remaining labor cost.
Explanation:The question is asking what percent of a $120 repair bill was for labor if $36 was for parts. Since the total bill is $120, the cost for labor is the total bill minus the cost for parts, which is $120 - $36 = $84 for labor. Now, to find the percentage of the bill that was for labor, you use the formula (part/whole) × 100, which in this case is ($84/$120) × 100 = 70%. Therefore, 70 percent of the bill was for labor.
Help me solve please
Answers
Answer:
0.10822510822
Step-by-step explanation:
use a calculator
Carlos bought 6 1/2 pounds of bananas for 5.20. What quantity of bananas would one dollar buy? You answer should be in the form _ _._ bananas Write your answer as a mixed number in decimal form. _ _ ._
Answers
Answer:
$1 would buy 1.25lbs of bananas
Step-by-step explanation:
In order to find the amount $1 will buy, we need to create a proportion. One the left side we can use the unit rate. On the right we use the unknown quantity.
6.5lbs/$5.20 = xlbs/$1.00
Now we cross multiply
6.5 * 1.00 = 5.20 * x
6.5 = 5.20x
1.25 = x
Carlos can buy approximately 4.17 bananas with one dollar.
Explanation:To find out how many bananas one dollar can buy, we need to divide the total cost of the 6 1/2 pounds of bananas by the total cost of the bananas Carlos bought. $5.20 / 6 1/2 = $0.80 per pound. To find the quantity of bananas one dollar can buy, we divide $1.00 by $0.80 per pound. $1.00 / $0.80 = 1.25 pounds. Since there are 2 pounds in 1 kilogram and 0.5 kilograms is equal to 1 pound, we can convert the 1.25 pounds to kilograms. 1.25 pounds * 0.5 kilograms/pound = 0.625 kilograms. Finally, assuming each banana weighs approximately 0.15 kilograms, we can calculate how many bananas one dollar can buy. 0.625 kilograms / 0.15 kilograms/banana = 4.167 bananas.
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a tree is 8ft tall and grows 8 inches each year. In how many years will the tree reach a height of 30 feet?
A.27
B.33
C.45
D.52
Answers
Answer:
B
Step-by-step explanation:
30 ft = 360 in
8 ft = 64 in
360 in - 64 in = 296 in
296 / 8 = 33
It will take approximately 32.84 years for the tree to reach a height of 30 feet.
To determine the number of years it will take for the tree to reach a height of 30 feet, let's break down the growth process step by step.
Initially, the tree is 8 feet tall.
The tree grows 8 inches (0.67 feet) each year.
Let's assume it takes "x" years for the tree to reach a height of 30 feet.
So, the height of the tree after "x" years can be represented by the following equation:
Height after x years = Initial height + (Growth rate * x)
In this case, the initial height is 8 feet, and the growth rate is 0.67 feet (8 inches).
Height after x years = 8 + (0.67 * x)
Now, we need to solve for "x" when the height reaches 30 feet:
30 = 8 + (0.67 * x)
Subtract 8 from both sides of the equation:
22 = 0.67 * x
To isolate "x," divide both sides by 0.67:
x = 22 / 0.67
Now, calculate "x":
x ≈ 32.84 years
So, the Answer: B. 33 years
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