Answer:
The measurement of angle a is 42.5°
The measurement of angle b is 19.5°
Step-by-step explanation:
Angle a = a
Angle b = b
m < a + m < b = 62°
"m <" means "measurement of angle..."
m < a + m < b = 4m < a - 108°
Subtract m < a from both sides of the equation
m < b = 4m < a - 108° - m < a
Simplify
m < b = 3m < a - 108°
Substitute into original equation
3m < a - 108° + m < a = 62°
Add m < a + 3m < a
4m < a - 108° = 62°
Add 108° to both sides of the equation
4m < a = 170°
Divide both sides of the equation by 4
m < a = 42.5°
m < b = 62° - 42.5° = 19.5°
Hope this helps :)
Answer:
1394
Step-by-step explanation:
You can derive a formula for the k-th term of the sequence, but for a few terms, it is just as easy to evaluate them.
P₂₀₁₉ = 0.81(P₂₀₁₈ +25) = 0.81(2530 +25) = 2069.55
P₂₀₂₀ = 0.81(P₂₀₁₉ +25) = 0.81(2069.55 +25) = 1696.5855
P₂₀₂₁ = 0.81(P₂₀₂₀ +25) = 0.81(1696.5855 +25) ≈ 1394.48
At the start of 2021, there are predicted to be 1394 eagles in the park.
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
Answer:
B
Step-by-step explanation:
Apex
I think the answer would just be at the point of intersection, or (3,-1)
