The value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10. Option C
<h3>How to determine the value</h3>
It is important to note that for line TV to be parallel to line QS, the sides of the triangle must be divided equally.
Thus, we have
RT/TQ = RV/VS
RT = x + 10
TQ = x - 3
RV = x + 10
VS = x
Substitute the value
![\frac{x + 4}{x-3} = \frac{x + 10}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%204%7D%7Bx-3%7D%20%3D%20%5Cfrac%7Bx%20%2B%2010%7D%7Bx%7D)
Cross multiply
(x+ 4) × x = (x + 10) × (x-3)
x² + 4x = x² -3x + 10x -30
Divide through by x²
4x = -3x + 10x - 30
Collect like terms
4x + 3x - 10x = - 30
-3x = -30
x = -30/ -3
x = 10
Thus, the value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10 Option C
Learn more about triangles here:
https://brainly.in/question/1399334
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Answer: 548.8 square inches
Step-by-step explanation:
From the question, we are informed that a cereal box has a surface area of 280 square inches.
The surface area of a similar box that is larger by a scale factor of 1.4 will be gotten by multiplying 280 by the scale factor's square. This will be:
= 280 × (1.4)²
= 280 × 1.96
= 548.8 square inches
Answer:
A. 17°
Step-by-step explanation:
Recall: measure of an inscribed angle = ½(intercepted arc)
Inscribed angle = m<MTH
Intercepted arc = arc MH = 34°
Therefore,
m<MTH = ½(Arc MH)
Substitute
m<MTH = ½(34)
m<MTH = 17°
Answer:
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