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The figure is composed of a square with an equilateral triangle on top of it. If the area of the square is 25 square inches. What is the perimeter of the figure?

A) 20 inches 
B) 25 inches 
C) 30 inches 
D) 35 inches 
E) 36 inches

 

 

Given that ∠XQR = 180° and ∠LQM = 180°, which equation could be used to solve problems involving the relationships between ∠XQM and ∠RQM?

 

A)180 + (3a + 39) = (136 − 2a)

B)(3a + 39) − 180 = (136 − 2a)

C)(136 − 2a) − (3a + 39) = 180

D)(136 − 2a) + (3a + 39) = 180

E)360 − (3a + 39) = (136 − 2a)

 

 

What is the best estimate for the width of the rectangle based on the length?

A)3.0 cm

B)3.6 cm

C)4.2 cm

D)4.8 cm

E)6.0 cm

 

 

How many lines of symmetry does this regular octagon have?

A)0

B)1

C)4

D)6

E)8

 Oct 19, 2019
 #1
avatar+196 
+1

For the first problem, an equilateral triangle has sides that are all the same length. One of the sides of the triangle is on a side of the square, and all four sides of a square are the same length, so the sides of the triangle and the sides of the square are the same length. To find the side length of the square, first think about how you would find the area given a side... you would square the side. What number squared is 25?

To get the prerimiter of the square add up all the sides of the figure, so 3 sides of the square and 2 sides of the triangle.

 

I would help with the 2nd and 3rd but the images are blocked for some reason frown

 

For the last problem, a line of symetry is when everything of either side of a line is the same, so if you folded the figure on the line everything would line up. Think about how you could split the octagon in half... maybe draw a line through the middles of two opositie sides? Or from opposite corners?

 Oct 19, 2019
 #2
avatar+1194 
0

1. The area of the square is 25 in2; therefore, each side of the square is 5 inches in length.
The base of the equilateral triangle is one side of the square, which makes the base and each side of the triangle equal 5 inches.

The perimeter only includes the distance around the figure.

P = 3 sides of the square + 2 sides of the equilateral triangle
P = 3(5) + 2(5)
P = 15 +10
P = 25 inches

25 inches

 

2. 

 

3. 

 

 

4. This octagon has 8 lines of symmetry because it has eight equal sides.

macabresubwoofer  Oct 20, 2019
 #3
avatar+196 
+2

1. You got it good job!

 

2.

You are given a measure, either an equation or a degree measure, so these can be substituted into the exuation.

180=(136-2a)+(3a+39) so the answer is D

 

3. *measures the short side with fingers*

*puts it on the long side*

Looks like the short side is about half the long side so 4.2 or C

 

4. Thats correct, never heard of that method before but it seems like it works.

power27  Oct 20, 2019

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