Answer:
The value of x in this case is 34°.
Step-by-step explanation:
Here, Lines TR and UP is intersecting lines at the point S.
⇒∠ TSU = ∠ PSR (VERTICALLY OPPOSITE ANGLES)
⇒ 4x = ∠ PSQ + ∠ QSR
= ∠ PSQ + 3x
⇒ ∠ PSQ = 4x - 3x = x
⇒ ∠ PSQ = x
Now, by The INTERIOR EXTERIOR ANGLES THEOREM In a TRIANGLE:
Sum of Two Interior angle of a triangle is equal to opposite exterior angle.
So, here in Δ PSR
∠ PSQ + ∠ SPQ = ∠ SQR
or, x + x = 68°
or, 2 x = 68°
⇒ x = 68/2 = 34°
Hence, the value of x in this case is 34°.
Your answer would be...
<span>Angle C prime D prime A prime.
This is because this is the angle after the transformation, and the angle did not change.
</span>
Answer:
the second car is 75 miles longer than the first car for 5 hours
Step-by-step explanation:
First we need to know the distance each one traveled in 5 hours
the first one travels 40 miles in one hour
1 h = 40 mi
1h * 5 = 40mi * 5
5h = 200 mi
the second one travels 55 miles in one hour
1 h = 55 mi
1h * 5 = 55mi * 5
5h = 275 mi
so the first one traveled 200 miles and the second 275 miles
if 275 we have 200 left, we will get how many more miles the second car made in 5 hours
275mi - 200mi = 75mi
Answer:
m∠8 = 4x
Step-by-step explanation:
Angle 8 is the same angle measure of angle 1, which is m∠1 = 4x