Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
Answer:
24 inches.
Step-by-step explanation:
Add em' all up cuz.
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.
Answer:
Both have the same y-intercept (-9)
Step-by-step explanation:
✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.
b = y-intercept = -9
y-intercept for Function 1 = -9
✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.
Thus, r = -9 when t = 0.
y-intercept for Function 2 = -9
✔️Both functions has the same y-intercept. None is greater than the other.