Answer:
d
Step-by-step explanation:
Answer:
The answer to your question is 6.- B 7.- D
Step-by-step explanation:
Data
Parallelogram ACFG
6.-
m∠GAC = 112°
m∠ACF = ?
Process
These angles are supplementary, they measure the same.
∠GAC + ∠ACF = 180
-Substitution
112 + ∠ACF = 180°
-Solve for ∠ACF
∠ACF = 180° - 112°
-Result
∠ACF = 68°
7.-
m∠AGF = 2a + 10
m∠ACF = a + 20
The angles ∠GAC and ACF are equal, they measure the same.
∠GAC = ∠ACF
-Substitution
a + 20 = 2a + 10
-Solve for a
a - 2a = 10 - 20
-Result
-a = -10
a = 10
-Find ∠AGF
∠AGF = 2(10) + 10
20 + 10
= 30°
Answer:
Step-by-step explanation:
Original price that she paid for the dish washer is £240. She wants to sell it and make a profit of 25%. It means that price at which she would make a profit of 25% is
240 + 25/100 × 240 = 240 + 60 = 300
To determine the price tag of 40% discount and that would still ensure that she makes £300,
Let x represent the price tag in £. It means that a discount of 40% on £x would be 300. A discount of 40% on £x is expressed as
x - (40/100 × x) = x - 0.4x = 0.6x
So 0.6x = 300
x = 300/0.6 = 500
So the price tag will be £500
Answer:
7.5 years.
Step-by-step explanation:
Use A = 1400(1+0.02)^7.5
The 1400 is the starting money. The 1 is a constant. The 0.02 is the 2% in decimal form. And the 7.5 is years. I found that by just continually increasing it until it hit 1624.
Hope this helps
Answer:
DG = 17
Step-by-step explanation:
DG and EF are similar so sides are same.
2x - 7 = x + 5
2x - x = 5 + 7
x = 12
So DG = 2x - 7
= 2(12) - 7
= 24 - 7
= 17
