Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

Answers

Answer 1

Answer: If $u$ and $v$ are supplementary angles, then

$u+v=180^(\circ)~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $(7)/(13):$

$(u)/(v)=(7)/(13)\n\n\n u=(7v)/(13)~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$(7v)/(13)+v=180^(\circ)\n\n\n \left((7)/(13)+1 \right )\cdot v=180^(\circ)\n\n\n \left((7)/(13)+(13)/(13) \right )\cdot v=180^(\circ)\n\n\n (20)/(13)\cdot v=180^(\circ)\n\n\n v=180^(\circ)\cdot (13)/(20)\n\n\n \boxed{\begin{array}{c} v=117^(\circ) \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

$u=180^(\circ)-v\n\n u=180^(\circ)-117^(\circ)\n\n \boxed{\begin{array}{c} u=63^(\circ) \end{array}}$

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How many millimeter are there in 2 kilometers?

Answers

Answer:

2,000,000

Step-by-step explanation:

There are 1,000,000 millimeters in a kilometer. So multiply that by two. Hope this helps

Answer:

2 km = 2000000.00 mm

Step-by-step explanation:

Put -4, 6.2,18 1/2, -5.9,21, -1/4 and 1.75 in greatest to least order

Answers

okay lets do this

first we write these numbers on a peice of paper.

the answer is

21, 18 1/2, 6.2, 1.75, -1/4, -4, -5.9

if you need more help just tell me

21, 18 1/2, 6.2, 1.75, -1/4, -4, -5.9

Determine whether the function below is and even function, an odd function, both, or neither.Function: f(x)=x^6+10x^4-11x^2+19

A. neither even nor odd
B. both even and odd
C. even function
D. odd function

Answers

Answer:

Even function

Step-by-step explanation:

The key here is to recognize that all powers of x in the polynomial f(x)=x^6+10x^4-11x^2+19

are even. This is a sure-fire way to identify an EVEN function.

Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of prism B and C have equal volume. What is the volume of each prism?

Answers

Prisim A and B are 173 and Prisim C is 172 add those together and you get 518

Which one is bigger 4m or 400dm

Answers

1 m = 10 dm
4 m = 40 dm
40 dm < 400 dm

Answer: 400 dm is bigger.

400 dm is greater becayse 1m=10dm

A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold. 20 points i think

Answers

Answer:

43 paperback books

Step-by-step explanation:

7.50(15) + 1.25x = 166.25

112.50 + 1.25x = 166.25

Subtract 112.50 from both sides

(112.50 - 112.50) + 1.25x = (166.25 - 112.50)

1.25x = 53.75

Divide 1.25 from both sides

x = 43

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