Find the height and area of an equilateral triangle with side lengths of 10 cm.
Height:____cm
Area:______cm²

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[tex]Area = 25\sqrt{3}[/tex]

[tex]Height = 5\sqrt{3}[/tex]

To find the height and area of an equilateral triangle we can start by finding the area using the following equation

[tex]Area =\frac{\sqrt{3}}{4} side^2\\Area =\frac{\sqrt{3}}{4} 10^2\\Area =\frac{\sqrt{3}}{4} 100\\[/tex]

Which then simplifies down to

[tex]Area = 25\sqrt{3}[/tex]

Next, we can find the height using the following equation

[tex]Height = \frac{side\sqrt{3} }{2} \\Height = \frac{10\sqrt{3} }{2}[/tex]

which then simplifies down to

[tex]Height = 5\sqrt{3}[/tex]

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Write a system of two linear equations showing the distance each animal can
travel to model the fair race. Be sure to define all variables.
Y= output (distance) 5 mile lion/ 2.5 mile elephant
M=slope (speed) 50 lion /25 elephant
X=input(time) 6 minutes both

The regular price of a brand new pair of shoes is $72. When using a
coupon the price went down to $54. What was the percent off on the
coupon used?
A.15%
B.25%
C.75%
D.50%

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Find the area of these triangles.

In the original figure, line segment BC was parallel to line segment AD. This means that in the transformed figure, line segment HE will be parallel to line segment __.

My first is in shape and also in space;
My second is in line and also in place;
My third is in point and also in line;
My fourth is in operation but not in sign;
My fifth is in angle but not in degree;
My sixth is in glide but not symmetry;
My seventh is round but not in square;
My last is in patterns you see everywhere;
My whole is a polygon, regular not wide;
But what is the sum of the angles inside?

3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.
4. If y varies directly as x and y=4 when = 18, find y when x =27.
5.if y varies directly as x and y =6 when x =14 ,find y when x=35.
6.if y varies directly as x and y=2 when x=12, find y when x = 30.

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Edge notes
Here are my notes for Congruence, Proof, and Constructions: Part Two Notes

Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4

​

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Which best describes the error in finding the surface area of the cylinder?
T^T

All of the students in Mr. Goshen’s class have taken a test. The sum of their test scores is 1700.
All of the students in Mr. Haas’s class have taken the same test, and the sum of their test scores is 1650.
Is it possible to compare the mean score of the test-takers in Mr. Goshen’s class to the mean score of the test-takers in Mr. Haas’s class? Explain your answer.

Amy is having her birthday party at a skating rink. The rink charges $50 plus $8 per person. If Amy wants to spend at most $200, how many people can she invite? (Hint: make sure you include Amy in the head count.)

Delias paycheck of $348 i automatically deposited into her checking account right before the check was deposited her account balance was $143 she deposited a check of $25 into her account that same day she withdrew $95 from her account what was delias account balance before all these transactions

The graph shows the population of sun dale from 1950 to 2000

d ÷ 5 =−7
What is d???

28. Consider the diagram below. Solve for x.

What is the slope of the line shown above?​

Which relation is a linear function with the least slope?

A. Y = 4x^2 + 9

B.
x //// y
−5 //// 6
0 //// 10
5 //// 14
10 /// 18

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36. Find the side length of a cube whose surface area is 10848 cm2.

Write your answer to 2 decimal places.

Here is a triangular prism. A triangular prism, the triangle has base 6 centimeters, sides 5 centimeters each, and height 4 centimeters perpendicular to the 6 centimeter base. The prism has height 10 centimeters. What is the volume of the prism, in cubic centimeters? What is the surface area of the prism, in square centimeters? Show your work and calculations for both parts of the question for full credit. Only giving an answer will only receive half credit.

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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = x^3 − x^2 − 4x + 4
g(x) = x^3 + 2x^2 − 9x − 18
g(x) = x^3 − 3x^2 − 4x + 12
g(x) = x^3 + 2x^2 − 25x − 50
g(x) = 2x^3 + 14x^2 − 2x − 14

I only have two questions from my homework that I don't have done, and I need a bit of help, please end thank you!

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Where is point B on the number line

A. 3 units right and 4 units up.

B. 3 units left and 4 units up.

C. 3 units right and 4 units down.

D. 3 units left and 4 units down.

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