Answer:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
Hi there! The fourth answer is correct.
In the picture we have to deal with facts:
1. The angle of 45°
2. The length of the opposite side
3. The length of the adjacent side.
Since we have to use the opposite and the adjacent side, we have to use the tangent of the angle. In a formula:

Filling in this formula, brings us to the following answer.
Answer:
Correlation
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
Marcy wishes to make sauce for the party that she is throwing at her house. The sauce is to be made by the chicken broth and it tastes delicious.
According to her the sauce recipe call for a 3/4 broth of chicken. Now to have enough sauce for tonight's party, Marcy have to triple the recipe as 3 4 (3) = ( 3 4 ) ( 3 1 ). So she estimated in order to triple the recipe she will need 77 cups of the chicken broth.
<u>Given</u>:
Given that the triangle ABC is similar to triangle FGH.
We need to determine the value of x.
<u>Value of x:</u>
Since, the triangles are similar, then their sides are proportional.
Thus, we have;

Let us consider the proportion
to determine the value of x.
Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;

Cross multiplying, we get;



Thus, the value of x is 22.5 cm
Hence, Option F is the correct answer.