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frutty [35]
3 years ago
13

The measures of two complementary angles are 6y+3 and 4y−13 . Find the measures of the angles.

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
8 0
Y = 10 degrees

work:
6y + 3 + 4y - 13 = 90
6y + 4y = 90 + 13 - 3
10y = 100
y = 10
photoshop1234 [79]3 years ago
4 0

63° and 27°

2 complementary angles sum to 90°, hence

6y + 3 + 4y - 13 = 90

10y - 10 = 90 ( add 10 to both sides )

10y = 100 ( divide both sides by 10 )

y = 10

The angles are

6y + 3 = (6 × 10 ) + 3 = 60 + 3 = 63°

4y - 13 = (4 × 10 ) - 13 = 40 - 13= 27°

note that 63° + 27° = 90°


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$1.70

Step-by-step explanation:

Let the number of nickels be  x.

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Therefore, there are 8x + x = 9 coins in total. To find what x is, we need to solve the equation 9x = 18. This can be done by dividing both sides by 9 which gives x=2. Plugging these values in tells us that there are 2  nickels and 16 dimes. (Test it out!) Thus, the nickels are worth 2 \cdot 5 = 10 cents and the dimes are worth 16 \cdot 10 = 160 cents, so in all, you have 10 + 160 = 170 cents which is $1.70.

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1 year ago
Find the slope of the line passing through the points (-9, -6) and (-4, 5).
Goryan [66]

Answer:

m=\frac{11}{5}

Step-by-step explanation:

8 0
3 years ago
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Anyone know the answers to 1, 2, 3, 4, 5
muminat

Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

3. A - -4(-5) + (-4)x

4. J - 1/6x + 1/6y

5. A - 60(10 + 2)

Step-by-step explanation:

1.

1/4(4 + 9) <em>We can distribute 1/4 into 4 and 9.</em>

1/4(4) + 1/4(9) <em>Now while we have our answer, this can be further simplified.</em>

1/4(13) <em>What's on the left is the simplified 2-term equation.</em>

<em>So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.</em>

2.

-2/5(15 - 5) <em>Subtract 5 from 15 to get 10.</em>

-2/5(10) <em>Multiply -2/5 by 10 to get -20/5</em>

-20/5 <em>Divide -20 by 5 to get -4.</em>

-4, so G is the answer. <em>This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.</em>

3.

-4(-5 + x) <em>Distribute -4 into -5 + x.</em>

-4(-5) + (-4)x, so A is the answer. <em>Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.</em>

4.

1/6(x + y) <em>Distribute 1/6 into x + y.</em>

1/6x + 1/6y, so J is the answer. <em>F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.</em>

5.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). <em>B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).</em>

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3 years ago
Evaluate if x = -4.<br><br> - 3x +7
mina [271]

Replace x with -4:

-3(-4) + 7 =

12 + 7 = 19

Answer: 19

5 0
2 years ago
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