Answer:
Decimal: 0.1
Percent: 10%
Step-by-step explanation:
<u>Answer:</u>
The horizontal number line that could be used to show number of centimeters of ribbon Hilary unraveled is 3cm to 4.5cm
<u>Explanation:</u>
Given that Hilary has already unraveled 3.0 centimeters of ribbon and then continues to unravel 1.5 more.
So starting will be 3.0 cm and maximum ribbon unravelled will be equal to 4.5cm so the horizontal number line that could be used would be from 3cm to 4.5cm including both fractional and integral values.
Answer:
Step-by-step explanation:
#22)
4(t - 8) + 20 = 5
Distribute the 4.
4t - 32 + 20 = 5
Combine like terms.
4t - 12 = 5
Add 12 to both sides.
4t = 17
Divide both sides by 4.
t = 4.25
#24)
17 = -5(3 + w) + 7
Distribute the -5.
17 = -15 - 5w + 7
Combine like terms.
17 = -8 - 5w
Add 8 to both sides.
25 = -5w
Divide both sides by -5.
w = -5
#26)
9 = -(r - 5) + 11
Distribute the -.
9 = -r + 5 + 11
Combine like terms.
9 = -r + 16
Subtract 16 from both sides.
-7 = -r
r = 7
Answer:
Step-by-step explanation:
∠CFE is made up of ∠3 + ∠4; therefore,
∠3 + ∠4 = 74
∠BFD is made up of ∠2 + ∠3; therefore,
∠2 + ∠3 = 103
∠BFE is made up of ∠2 + ∠3 + ∠4; therefore,
∠2 + ∠3 + ∠4 = 136
and we are looking for the measure of ∠CFD which is ∠3.
Begin by using the fact that ∠3 + ∠4 = 74 and sub that into ∠BFE:
∠BFE = 136 and
∠2 + (∠3 + ∠4) = 136 and
∠2 + 74 = 136 so
∠2 = 62
Now use that in ∠BFD since
∠BFD = 103 and
∠2 + ∠3 = 103 and
62 + ∠3 = 103 so
∠3 = 41
