Answer: 0.31
Step-by-step explanation:
7/22 is 0.31
15. She bought:
3 jeans, $20 each
1 pants, $18
You find the total: 3(20) + 1(18) = $78 then you apply the discount
Since this is between 50-100, you use the 38% discount (decimal form: 0.38)
38% is being subtracted from your total, so you can do this:
100% - 38% = 62% This is your total after the discount
78(0.62) = 48.36 Your answer is C
16. D Income is the $ you make from your job
17. A Budgeting helps you organize and limit your spending and meet financial goals
18. C Liabilities impacts you negatively, since you have debts to pay off
19. A
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
Jacob must now invest $10,712,72 to have $50,000 for the party.
