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Phoenix [80]
2 years ago
9

∠1 and ∠2 are linear pair. If m∠1 = 3x + 4 and m∠2 = 2x – 9, find x.

Mathematics
1 answer:
Yuki888 [10]2 years ago
4 0

Answer:

37

Step-by-step explanation:

Linear pairs are supplementary (adds up to 180)

m∠1 + m∠2 = 180

3x + 4 + 2x - 9 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps :)

Have a nice day!

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Simplify (5^x+2-5^x)/5^x×4
murzikaleks [220]

Answer:

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Step-by-step explanation:

The given expression is,

\frac{5^{x+2}-5^x }{5^x\times4}

Now, we know that,

a^{m+n} = a^m . a^n

Then,

5^{x+2}=5^x . 5^2

So,

\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x.5^2-5^x}{5^x\times4}

Now, taking 5^{x} common from the numerator of the given expression, then

\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x(5^2-1)}{5^x\times4}

\implies\frac{5^{x+2}-5^x }{5^x\times4}=\frac{5^2-1}{4}

\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5\times5-1}{4}=\frac{25-1}{4}

\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{24}{4}=6

So, the simplified form of the given expression gives the result 6.

8 0
4 years ago
Find the value of A and explanation please
djverab [1.8K]
The sum of interior angles of a triangle is 180 degrees. If we’re trying to find the triangles last angle on the right, we will subtract 180-60-50 which equals 70. The angle missing on the right side is 70 degrees. There are opposite angles in this shape so the other angle beside a would also be 70 degrees. Now we only have a left and you do the same thing with the sum of interior angles with that triangle. So you do 180-70-65 and you’re left with 45. Therefore, a is 45 degrees.
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10-5y=1x
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4 years ago
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Nine less than a number
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Hey there!

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3 years ago
Please help me! Write an equation in point-slope form of the line that passes through the given point and has the given slope.
andriy [413]

9514 1404 393

Answer:

  1. y -3 = 5(x -1)
  2. y +1 = -3(x +2)
  3. y +7 = -1/4(x -4)

Step-by-step explanation:

When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.

  y -k = m(x -h) . . . . . . point (h, k), slope m

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1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5

2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3

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