Answer:
Option B
Step-by-step explanation:
<u><em>Complementary Angles add up to 90 degrees</em></u>
So,
Other Angle = 90-22
Other Angle = 68 degrees
Also Other Angle = 2x (Given)
So,
2x = 68
Dividing both sides by 2
=> x = 34
Pru, Piper, Phoebe......ratio 5:3:4...added = 12
what this means is Pru has 5/12 of the total amount, Piper has 3/12 of the total amount, and Phoebe has 4/12 of the total amount
pru = piper + 24
5/12x = 3/12x + 24
5/12x - 3/12x = 24
2/12x = 24
x = 24 / (1/6)
x = 24 * 6
x = 144 spices in total
pru has : 5/12(144) = 720/12 = 60 spices
piper has : 3/12(144) = 432/12 = 36 spices
phoebe has : 4/12(144) = 576/12 = 48 spices <====
Answer:
transitive property of equality
Step-by-step explanation:
I know cus i took the test also sorry it took so long dude
Answer:
F) ![380\frac{4}{7}ft^2](https://tex.z-dn.net/?f=380%5Cfrac%7B4%7D%7B7%7Dft%5E2)
Step-by-step explanation:
<u>Find the area of each part</u>
Area of right triangle: ![A=\frac{1}{2}bh=\frac{1}{2}(6)(18)=(3)(18)=54ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh%3D%5Cfrac%7B1%7D%7B2%7D%286%29%2818%29%3D%283%29%2818%29%3D54ft%5E2)
Area of rectangle: ![A=bh=(12)(18)=216ft^2](https://tex.z-dn.net/?f=A%3Dbh%3D%2812%29%2818%29%3D216ft%5E2)
Area of left triangle:
(this is because both triangles are congruent)
Area of semicircle: ![A=\frac{1}{2}\pi r^2=\frac{1}{2}(\frac{22}{7})(\frac{12}{2})^2=\frac{22}{14}(6)^2=\frac{11}{7}(36)=56\frac{4}{7}ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E2%3D%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B22%7D%7B7%7D%29%28%5Cfrac%7B12%7D%7B2%7D%29%5E2%3D%5Cfrac%7B22%7D%7B14%7D%286%29%5E2%3D%5Cfrac%7B11%7D%7B7%7D%2836%29%3D56%5Cfrac%7B4%7D%7B7%7Dft%5E2)
<u>Add up all the areas</u>
<u />![A=54ft^2+216ft^2+54ft^2+56\frac{4}{7}ft^2=380\frac{4}{7}ft^2](https://tex.z-dn.net/?f=A%3D54ft%5E2%2B216ft%5E2%2B54ft%5E2%2B56%5Cfrac%7B4%7D%7B7%7Dft%5E2%3D380%5Cfrac%7B4%7D%7B7%7Dft%5E2)
3x - 5y = 11 ⇒ 3x - 5y = 11
1x - 3y = 1 ⇒ <u>3x - 9y = 3 </u>
<u>4y</u> = <u>8</u>
4 4
y = 2
3x - 5(2) = 11
3x - 10 = 11
<u> +10 +10</u>
<u>3x</u> = <u>21</u>
3 3
x = 7
(x, y) = (7, 2)