Answer:
-9
Step-by-step explanation:
The triangle has two sides that are the same, so it is an isosceles triangle. Therefore, the base angles are the same.
Angles of a triangle add up to 180°, so:
70 + (x + 64) + (x + 64) = 180
70 + 2x + 128 = 180
2x = -18
x = -9
Answer:
(x - 25) / 4
Step-by-step explanation:
In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...
(x - 25) / 4
The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate
The appropriate selection is
D) 200.9 ft
Answer:
The circumference of the cookie is 37.68 inches.
Step-by-step explanation:
We have,
The area of a cookie is 113.04 square inches.
It is circular in shape. The area of circle is given by :
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
r is radius of circle
![r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cdfrac%7BA%7D%7B%5Cpi%7D%7D%20%5C%5C%5C%5Cr%3D%5Csqrt%7B%5Cdfrac%7B113.04%7D%7B3.14%7D%7D%20%5C%5C%5C%5Cr%3D6%5C%20%5Ctext%7Binch%7D)
The circumference of circular shaped object is given by :
![C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%5C%5C%5C%5CC%3D2%5Ctimes%203.14%5Ctimes%206%5C%5C%5C%5CC%3D37.68%5C%20%5Ctext%7Binch%7D)
So, the circumference of the cookie is 37.68 inches.