x= 4.5
18x - 9 = 72 are the equations
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Answer:
x = 15.8114
Step-by-step explanation:
The complete question is:
"The problem is asking for value of x. Two right triangles side by side, the altitude is 9. The bottom of whole triangle is 25. One side is 15 and the other side is x. What is the value of x?"
Solution:-
- Develop a diagram for the information given " Two right triangles side by side" The altitude i.e height (common to both triangle ) = 9. The total base length of both triangles is = 25. One side is 15 and other side is x.
x
x x x
x x x
x x x
x x x x = ?
x x x
15 x x x
x x 9 x
x x x
x x x
x x x
x x x
x x x
B x x x x x x x x x x x x x x x x x x x x x x x C
y D 25-y
- We will first determine the value of "y" using the left hand side triangle and apply pythagorean theorem. Where, H = 15 , P = 9 , B = y.
H^2 = P^2 + B^2
15^2 = 9^2 + y^2
y = √(225 - 81 )
y = 12
- Now we can use the value of y and apply pythagorean theorem on right hand side triangle with sides. H = x , P = 9 , B = 25-y = 25 - 12 = 13.
H^2 = P^2 + B^2
x^2 = 9^2 + 13^2
x = √( 81 + 169 )
x = 15.8114
The equation is 10x=2x+60
x=15/2
∠CFH=75
∠CBD= 75
We are dealing with parallel lines, which are the lines that are equidistant to each other and never meet, will never meet, when such lines are crossed by another line called the transversal creates many angles such as corresponding angles, vertical angles, alternate interior angles, alternate exterior angles, consecutive angles.
Since, angle CBD and angle CFH are the corresponding angles and they are equal to each other, we are given CBD=2x+60 and CFH = 10x
therefore , 10x=2x+60
=>10x-2x=60
=>8x=60
x=15/2
So, the angle CBD= 2x+60= 2(15/2)+60= 75
and the angle CFH = 10x= 10(15/2)= 75
To know more about parallel lines refer to the link brainly.com/question/16701300?referrer=searchResults.
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Answer:
$9761.52
Step-by-step explanation:
use compound interest formula at top of image
slope = m = 3/4
Point(4, -6)
Line equation in slope intercept form: y = mx + b
In this case we know m = 3/4, so we have to find "b" using the point coordinates:
y = (3/4)x + b
-6 = (3/4)4 + b
-6 = 3 + b
b = -6 -3 = -9
b = -9
Line equation: y = (3/4)x - 9
Answer:
y = (3/4)x - 9
