6x - 10(x + 12) = -4x - 24
<em><u>Distributive property.</u></em>
6x - 10x - 120 = -4x - 24
<em><u>Add 10x to both sides.</u></em>
6x - 120 = 6x - 24
<em><u>Cancel like terms.</u></em>
<em>Add 24 to both sides.</em>
-96 ≠ 0.
This equation is incorrect, as -96 will never be equal to 0.
Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.
<h3>
What are equations?</h3>
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, HL is a hypotenuse that will be congruent to the hypotenuse AC.
We know that HL is 3x + 3.
Ac is 15.
Then the equation will be:
3x + 3 = 15
Now, solve the equation to get x as follows:
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.
Know more about equations here:
brainly.com/question/28937794
#SPJ4
Correct question:
For the triangles to be congruent by hl, what must be the value of x?
a. 8
b. 9
c. 17
d. 3
e. 4
Volume=width*length*height
So the volume is
V=8*6*13=624cm^3
I hope this helped :)
On the third bounce, it will bounce (1/4)*(1/4)*(1/4) = (1/4)^3 times as high.
This means it will bounce up to 256*1/64 = 4 feet high.