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3 years ago

Need Help Please answer and Find the measure of the exterior angle of the triangle.

Mathematics

2 answers:

natta225 [31]3 years ago

5 0

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

Mrac [35]3 years ago

3 0

Answer:

Step-by-step explanation:

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True [87]

Answer:

$\huge\boxed{y=-\frac{1}{7}x+ 10}$

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

<u>Reciprocal of 7:</u> $\frac{1}{7}$
<u>Opposite of </u> $\frac{1}{7}$ : $-\frac{1}{7}$

So the slope of this line will be $-\frac{1}{7}$ . The y-intercept will change, and we can substitute what we know into the equation $y=mx+b$ .

$y = -\frac{1}{7}x+b$

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

$8 = -\frac{1}{7} \cdot 14 + b$
$8 = -\frac{14}{7} + b$
$8 = -2 + b$
$b = 10$

Now that we know the y-intercept, we can finish off our equation by plugging that in.

$y = -\frac{1}{7}x + 10$

Hope this helped!

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3 years ago

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