Step-by-step explanation:
complementary angles means that both of them together = 90
13y +12 + 20y + 12 = 90
add all y together and numbers together
33y + 24 = 90
solve for y
33y= 66. y= 2
now let's get the measurements of the angles
13(2) + 12= 38
20(2) + 12= 52
Answer:
189 people
Step-by-step explanation:
We can make a proportion to solve
We know that 7 out of 8 people prefer Brand X, and p out of 216 people prefer Brand X, so
7/8=p/216
To solve, we need to get p by itself.
To do this, we must multiply both sides by 216 to "reverse" the division being done to p.
216(7/8)=(p/216)216
189=p
So, out of 216 people, 189 people will prefer Brand X.
Answer:
52 kg
Steps:
Set both fractions equal to each other;
62/93 = x/78
62 * 78 = 93x
4836 = 93x
x = 52
8 and 10? The difference is ten and they equal 18
Answer:
x = 6
Step-by-step explanation:
Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is
= ( cross- multiply )
x(x - 4) = 12 ← distribute left side
x² - 4x = 12 ( subtract 12 from both sides )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
However, x > 0 , thus x = 6