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algol13
2 years ago
7

If |lm and m<6 = 4x - 15 and m<7 = x+30, then m<6 = 35 45 39 15

Mathematics
1 answer:
pentagon [3]2 years ago
4 0

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and ∠ 7 are alternate angles and are congruent, thus

4x - 15 = x + 30 ( subtract x from both sides )

3x - 15 = 30 ( add 15 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Thus

∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°

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What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A =
hjlf

Answer: A is 88

Step-by-step explanation:

Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

3 0
2 years ago
Help.this question ha sbeen egttin on my nerves for days
pogonyaev

Answer: 8y4+25y3+60y2+10y+7

Step-by-step explanation:

(y2+3y+7)(8y2+y+1)

=(y2+3y+7)(8y2+y+1)

=(y2)(8y2)+(y2)(y)+(y2)(1)+(3y)(8y2)+(3y)(y)+(3y)(1)+(7)(8y2)+(7)(y)+(7)(1)

=8y4+y3+y2+24y3+3y2+3y+56y2+7y+7

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8 0
2 years ago
What are the x- and y-intercepts of the graph of 5x-4y= -20
lakkis [162]

To find the intercepts, we can set the opposite variable equal to 0 and solve.

Let's find the x intercept first.

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5x = -20

Divide both sides by 5.

x = -4

<h3>The x intercept is -4.</h3>

Now let's find the y intercept.

5(0) - 4y = -20

-4y = -20

Divide both sides by -4.

y = 5

<h3>The y intercept is 5.</h3>
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