Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
Answer:
x + Y = 39 or x = 39-y
20x + 50y = 1.40
20 (39 - y) + 50y = 11.40
7.80 - 20y + 50y = 11.40
30y = 11.40 - 7.80
30y = 3.60
y = 3.60/30
y = 12 50p coins were collected.
x = 39 - 12 = 27 20p coins were collected.
Proof:
20*27 + 50*12 = 11.40
5.40 + 6 = 11.40
11.40 = 11.40
I hope it helps.
Answer:
9 and a half
Step-by-step explanation:
the fewest number is 9.5 because thats the exact amount in hallways that he needs
First you distribute the six
-138>-36b+42
Then you subtract 42
-180>-36b
Next, you divide by -36 and since you are dividing by a negative, you turn the sign around
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