Answer:
a.) 7/20
b.) 0.375
c.) 1/15
Step-by-step explanation:
a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.
Simplify that down by dividing both top-bottom by 5 and you get 7/20
b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.
c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m
Find the fraction: 4/60
Simplify by dividing top-bottom by 4 and you get 1/15
C = hours Carlos drove, M = hours Maria drove.
52*C+54*M = 217
C = 4,1-M
52*(4,1-M)+54M = 217
213,2-52M+54M = 217
217-213,2 = 54M-52M
3,8 = 2M
M = 1,9
Maria drove 1,9h.
Answer:
∠1 = 73
∠2 = 107
∠4 = 107
Step-by-step explanation:
∠1 and ∠3 are vertical angles
Vertical angles are congruent
Which means that because ∠3 = 73°, ∠1 also equals 73°
∠2 and ∠3 are supplementary angles
supplementary angles add up to equal 180
Thus, ∠2 + ∠3 = 180
If ∠3 = 73° then ∠2 + 73 = 180
180 - 73 = 107
Hence, ∠2 = 107
∠2 and ∠4 are vertical angles
Like stated previously vertical angles are congruent
Which means that because ∠2 = 107°, ∠4 also equals 107°