Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x=1+√5 ,1−√5
The length of HI in the similar triangles is: (4) 24.
<h3>What are Similar Triangles?</h3>
The corresponding sides of triangles that are similar to each other have ratios that are equal to each other, thus, they are proportional.
Triangle EFI and triangle GHI are similar to each other. Therefore, their corresponding sides have ratios that are equal. Thus, we will have the following:
HI/FI = HG/EF
Given:
EF = 5,
HG = 12,
FI = 1.4x + 3
HI = 6.1x - 6.5
Plug in the values
6.1x - 6.5/1.4x + 3 = 12/5
Cross multiply
5(6.1x - 6.5) = 12(1.4x + 3)
Open the bracket
30.5x - 32.5 = 16.8x + 36
30.5x - 16.8x = 32.5 + 36
13.7x = 68.5
Divide both sides by 13/7
13.7x/13.7 = 68.5/13.7
x = 5
HI = 6.1x - 6.5
Plug in the value of x
HI = 6.1(5) - 6.5
HI = 30.5 - 6.5
HI = 24
The length of HI in the similar triangles is: (4) 24.
Learn more about similar triangles on:
brainly.com/question/2644832
#SPJ1
674-392=282 so the answer would be 282 girls who participated
The answer is less then because you would be taking 10% after you add 10% to x. This would cause the decrease in 10% to be greater then the increase.
Answer:
D
Step-by-step explanation:
The question continues with these options:
a. x3 − 8x2 − 11x + 20
b. x3 − x2 + 22x + 40
c. x3 + x2 − 22x − 40
d. x3 + 8x2 + 11x − 20
A cubic in equation (x+5)(x+4)(x-1) or on a graph that crosses at -5, -4, and 1. Multiply the factors out to find the equation.