Answer:
40 more kids chose baseball over basketball.
Step-by-step explanation:
The best way to go about this is to use benchmark percentages.
For baseball, 25% of 800 people chose that, so we can do 800/4 to get 200, so 200 students chose baseball
For basketball, we could do 800/5 but that isn't mental math, so we can do 10% of 800 is 80 and 80*2=160. So 40 more kids chose baseball over basketball.
Answer:
m∠PBC=37.5°, m∠CAB=65°, m∠BQA=90°
Step-by-step explanation:
Given In △ABC, m∠ABC= 75° and m∠C = 40°. If BP bisects ∠ABC and BQ is an altitude.
Then we have to find the following measures.
Given BP bisects ∠ABC and m∠ABC= 75°
m∠ABC=m∠PBC+m∠PBA=75°
Hence, m∠PBC=m∠PBA=37.5°
In ΔABC, by angle sum property of triangle
m∠CAB+m∠ACB+m∠ABC=180°
⇒ m∠CAB+40°+75°=180°
⇒ m∠CAB=65°
As we know, altitude meets the base at right angles.
Now, given BQ altitude on the base AC.
Hence, m∠BQA=90°
Answer:
254.47
Step-by-step explanation:
<span>Simplifying
4x + -1y = 10
Solving
4x + -1y = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
4x + -1y + y = 10 + y
Combine like terms: -1y + y = 0
4x + 0 = 10 + y
4x = 10 + y
Divide each side by '4'.
x = 2.5 + 0.25y
Simplifying
x = 2.5 + 0.25y</span>