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:
D.
Step-by-step explanation:
You know that 0.25 went to 2.00. That means that it's a 1.75 jump. In order to jump the other two prices up and keep the ratio the same, you must also jump them 1.75.
0.05 + 1.75 = 1.80
0.10 + 1.75 = 1.85
To double check the ration we can look back on the original. 0.05 to 0.10 is a scale of 0.05. 0.10 to 0.25 is a scale of 0.15
Then we look at our new one. 1.80 to 1.85 is a scale of 0.05. 1.85 to 2.00 is a scale of 0.15.
The ratios stayed the same, so this is the correct answer.
I hope this helped :)
Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = 
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d = 
= 
= 
= a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
Answer:
12
Step-by-step explanation:
You divide 96 by 8 and you get 12.
Answer:
y=8x-3
Step-by-step explanation:
