Answer: Eric still needs 
of a deck.
Step-by-step explanation:
You know that:
- Eric need 1/2 deck of playing cards.
- Eric has 2/7 of a deck.
Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:
- Find the least common multiple of the denominators:
- Now, you can make the subtraction:
Therefore, he still needs of a deck.
Answer:
15h + 8
15h+8 (no spaces)
Step-by-step explanation:
5h + 6 + 2 + 10h
5h + 10h + 6 + 2
15h + 8
Hope this helps!
Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.
You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.
tan (30) = y / 440
y = 440 * tan (30) = 254.034...
tan (38.8) = z / 440
y = 440 * tan (38.8) = 353.769.--
353.8 - 254.0 = 99.8 = 100 feet.
Step-by-step explanation:
First, before multiplying to cancel the fraction, let's isolate x by subtracting both sides by 3:
b/9 < 1
To cancel out the fraction, we multiply both sides by 9:
x < 9
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
