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3 years ago

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Mathematics

2 answers:

Semenov [28]3 years ago

6 0

The answer is<u> C) x = 25; 107 degrees </u>

Temka [501]3 years ago

3 0

Answer:

The correct option is C.

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

$3x+32+x+48=180$

$4x+80=180$

$4x=180-80$

$4x=100$

$x=25$

The value of x is 25.

The measure of two consecutive exterior angles are

$3x+32=3(25)+32=107$

$x+48=25+48=73$

The measure of the larger angle is 107 degrees.

Therefore the correct option is C.

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|x+5|+20=4 Needs to show work on how you came up with the answer.

arlik [135]

Answer:

No solution

Step-by-step explanation:

So we have the equation:

$|x+5|+20=4$

First, subtract 20 from both sides:

$|x+5|=-16$

Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer.

Since this equals -16, this means that there is no solution.

And we're done!

5 0

3 years ago

What are the ordered pairs of thesolutions for this system of equations? f(x) = x^2 – 2x + 3; f(x) = -6x

babunello [35]

First you subtract the two equations

x^2-2x+3-6x

You simplify that and get

x^2+4x+3 = 0

Now we solve using the quadratic formula.

We get x = -1 and x = -3.

Now we find the y values by plugging the x values into the equation.

f(x) is the same as y.

y = (-1)^2 - 2(-1) + 3

y = 1+2+3

y = 6

Now for the other x value.

y = (-3)^2 - 2(-3) + 3

y = 9+9

y = 18

So the two ordered pairs are (-1,6) and (-3,18)

8 0

2 years ago

IfA=−3n+2 andB=5n−7, what is the value of A−B, in simplest form?

alukav5142 [94]

Answer:

Either -4n or 0n but most likely -4n

4 0

3 years ago

Write an equation of the line that passes through the given point and has the given slope.

ycow [4]

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

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3 years ago

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oee [108]

Answer:

$B.2w+2l$

Step-by-step explanation:

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3 years ago