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saw5 [17]
3 years ago
10

Identify the angle measures of PQRS. I'm so confused, please help me! SHOW YOUR WORK!!

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

10y + 7 + 3(3y + 7) = 180

10y + 7 + 9y + 21 = 180

19y + 28 = 180

19y = 180 - 28

19y = 152

y = 152/19

y = 8

Plug back into Q and S.

Q = 10y + 7

Q = 10(8) + 7

Q = 80 + 7

Q = 87

S = 3(3y + 7)

S = 9y + 21

S = 9(8) + 21

S = 72 + 21

S = 93

Without solving for x to find the other angles, we can easily see that the answer is choice C.

Answer:

P = 61°

Q = 87°

R = 119°

S = 93°

Done!

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Step-by-step explanation:

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Ten percent of the reds are added to twenty percent of the blues, and the total is 24. Yet the product of the number of reds and
salantis [7]
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20

0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds

0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
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5 0
3 years ago
Writeanequationforthelinethatpassesthrough(4,-3)and has a slope of 3.
djyliett [7]

Answer:

x+y=1 (if x=4 )

4+y=1

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y=-3

7 0
2 years ago
Read 2 more answers
How can knowing how to represent proportional relationships in different ways be useful to solving problems
Anna35 [415]

Answer:

  appropriately writing the proportion can reduce or eliminate steps required to solve it

Step-by-step explanation:

The proportion ...

  \dfrac{A}{B}=\dfrac{C}{D}

is equivalent to the equation obtained by "cross-multiplying:"

  AD = BC

This equation can be written as proportions in 3 other ways:

  \dfrac{B}{A}=\dfrac{D}{C}\qquad\dfrac{A}{C}=\dfrac{B}{D}\qquad\dfrac{C}{A}=\dfrac{D}{B}

  Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.

I find this most useful to ...

  a) put the unknown quantity in the numerator

  b) give that unknown quantity a denominator of 1, if possible.

__

The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.

<u>Example</u>:

  x/4 = 3/2

Usual method:

  2x = 4·3

  x = 12/2 = 6

Multiplying by the denominator:

  x = 4(3/2) = 12/2 = 6 . . . . . . saves the "cross product" step

__

<u>Example 2</u>:

  x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...

  x/1 = 4/2 . . . . . . written with 1 in the denominator

  x = 2 . . . . simplify

Of course, this is the same answer you would get by multiplying by the denominator, 4.

The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.

8 0
3 years ago
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