To solve the problem, we need to use the relation between the angles to find a relation involving x. Then we need to solve for x and use that value to determine the measure of the desired angle.
The diagram shows you ...
... ∠KIJ + ∠JIH = ∠KIH
The problem statement tells you ∠KIJ = ∠JIH, so we can substitute ∠JIH in the above equation to get
... ∠JIH + ∠JIH = ∠KIH
... (4x+3) + (4x+3) = (12x)
... 8x +6 = 12x
... 6 = 4x . . . . . . . subtract 8x
Since we want to know the value of 12x, we can go directly there
... 18 = 12x . . . . . . multiply the above equation by 3
m∠KIH = 18°
Answer:
D) SAS
Step-by-step explanation:
Given:
Segment XY = segment VW
Segment XY ║ segment VW
∠ VXY = ∠ WVX (Alternate Interior angle Theorem)
Segment VX ≅ segment VX (relative property of Congruence)
Solution:
In △VWX and △XYV
Segment VX ≅ segment VX
∠ WVX = ∠ VXY
Segment XY = segment VW
∴ By Side Angle Side Congruence Property
△VWX ≅ △XYV by SAS
Answer:
C. 85 degrees
Step-by-step explanation:
(set the equations equal to each other):
6x-25 = 4x+15
(solve for x):
2x = 40
x = 20
(plug in x back into the equation):
6(20)-25 = 120-25 = 95
(subtract your value from 180 degrees (180 degrees is a line)):
180-95 = 85 degrees
Answer:
5. 26⁰F, rise
6. 0, Added both the numbers instead of subtracting
7. 10⁰C
8. 25⁰F
9. 13⁰F
10. -4
Answer:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
Step-by-step explanation:
Given
Model:
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<em> -- This was not properly presented in your question</em>
Required
What does T(110) means
First, we calculate T(110):
Substitute 110 for w in
The expression becomes
<em> -- approximated</em>
<em>T(100) represents that the plane flies against the wind at 110mph for 0.714 hours</em>
