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Blababa [14]
3 years ago
7

Please help me ASAP!!!

Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

x = 25

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

2x+10 + 4x+20 = 180

Combine like terms

6x+30 = 180

Subtract 30 from each side

6x+30-30 = 180-30

6x = 150

Divide by 6

6x/6 = 150/6

x=25

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Solve the simultaneous equation 2p - 3q = 4, 3p + 2q = 9. <br>b. if 223= 87 find x<br>​
wolverine [178]

Answer:

Step-by-step explanation:

Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.

2p - 3q = 4 ...................... 1 * 3

3p + 2q = 9 ..................... 2 * 2

Multiplying equation 1 by 3 and 3 by 2:

6p - 9q = 12

6p + 4q = 18

Subtracting both equation

-9q-4q = 12-18

-13q = -6

q = -6/-13

q = 6/13

Substituting q = 6/13 into equation 2

2p - 3(6/13) = 4

2p - 18/13 = 4

2p = 4+18/13

2p = (52+18)/13

2p = 70/13

p = 70/26

p = 35/13

<em>Hence p = 35/13 and q = 6/13</em>

<em></em>

<em>b) </em>If if 223ₓ = 87 find x

Using the number base system and converting 223ₓ  to base 2 will give us;

223ₓ = 2*x² + 2*x¹ + 3*x⁰

223ₓ  = 2x²+2x+3

​

Substituting back into the equation, 2x²+2x+3 = 87

2x²+2x+3-87 = 0

2x²+2x-84 = 0

x²+x-42 = 0

On factorizing:

(x²+6x)-(7x-42) = 0

x(x+6)-7(x+6) = 0

(x+6)(x-7) = 0

x+6 = 0 and x-7 = 0

x = -6 and 7

<em>Hence the value of x is 7 (neglecting the negative value)</em>

5 0
3 years ago
HELP WITH ALL PLZ I NEED HELP
alex41 [277]
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I hope all of these are correct and help
4 0
3 years ago
To 5% - (8.1 + 5%).<br> What’s the answer
Svetllana [295]

Answer:

rawr

Step-by-step explanation:

5 0
3 years ago
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A closet contains 5 short-sleeve shirts and 3 long-sleeve shirts. Two shirts are chosen from the closet without looking. What is
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D. There is a 5/8 chance each time. You would multiply that together to get the answer seen in D. 
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kodGreya [7K]

Answer:

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Step-by-step explanation:

the answer will be n×0.99 because she bought for example n=7 each for 99 cents. to find the total you would have to do 7x0.99. Hope this help you

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