Answer:
α = 62°
β = 56°
gamma = 90°
Step-by-step explanation:
ΔAOB is isosceles, so m∠A = m∠ABO = 28
28 + 28 + m∠AOB = 180
m∠AOB = 180 - 28 - 28 = 124
β = 180 - 124 = 56
arcAB = 124
ΔBOC is isosceles. α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62
∠D is inscribed in a semicircle
m∠D = gamma = 90°
<h3>
<u>Cookies</u></h3>
Rob: 3
Barry: 8
Kevin: 9
Let's add all of that up.
3 + 8 + 9
11 + 9
= 20 cookies total
<h3><u>
Milk</u></h3>
Rob: 2
Barry: 1
Kevin: 4
Let's add this up.
2 + 1 + 4
3 + 4
= 7 cups of milk
They had 20 cookies and 7 cups of milk before they ate.
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².
Answer:
500
Step-by-step explanation:
Given: P = 150 - T where P is passenger cars and T is trucks
10P = 7T ⇔ P = ![\frac{7T}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B7T%7D%7B10%7D)
Plug in equation 2 into equation 1:
= 150 - T
Solving for T, we get 500
Answer: At least 13
Step-by-step explanation: