Number 5 is 135 because angle 3 is congruent to 7 and 7 is 135
∠a is 35° because of vertical angle congruence. ∠b is 55° because one angle is right, so the other two have to add up to 90°, and 90°-35°=55°. ∠c is 110° because it creates a straight angle (180°) with the 70° angle, and 180°-70°=110°.
Check the picture below, notice those three quadrilaterals.
the square, is really a rectangle and is also a rhombus, but with right-angles and equal sides.
Answer: Surface area is equal to 200
Volume is equal to 333.33
Step-by-step explanation:
First, let's do surface area.
The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base
The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.
The lateral height is given as 5 cm.
The area of the base is 10(10) = 100.
We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200
.
Now for volume.
The volume of a pyramid is equal to 1/3(area of the base)(height).
We already have the area of the base, which is 100.
The height is given as 10 cm.
Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33
.
Hope this helps!
Hi there!
Since both 4x and 20 can be divisible by 4 and is greatest able to be divisible by 4, we can divide the 4 and put it outside of the parenthesis in order to factor:
4x / 4 = x
20 / 4 = 5
4 (x + 5)
would be your answer.
Hope this helps!