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3 years ago

Are these triangles similar

Mathematics

1 answer:

Archy [21]3 years ago

8 0

These trianges are similar because they are both right triangles.

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The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

$2x+4x=180$

solve for x

$6x=180$

$x=30$

step 2

Find the measure of an exterior angle

substitute the value of x

$2x=2(30)=60\°$

step 3

Find the measure of an interior angle

substitute the value of x

$4x=4(30)=120\°$

In this problem the regular polygon is a hexagon

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3 years ago

Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line. Choose each angle to

ExtremeBDS [4]

Answer:

AMY

BMY

BMX

Step-by-step explanation:

I took the assignment

3 0

3 years ago

Read 2 more answers

Find the slope of every line that is parallel to the graph of the equation x+7y=6

raketka [301]

$x+7y=6

7y=-x+6

(7y)/7=(-x+6)/7

y=(-1/7)x+6/7


Since, y=mx+b and m is the slope

m=-1/7$

7 0

3 years ago

Draw an area model 1.1x2.4

Alexus [3.1K]

You have to draw a rectangle and label the longer side 2.4 and the shorter side 1.1

5 0

3 years ago

2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers

UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

$\frac{x^3+x^2+x}{x^2+x+1}=x$

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that $x^3+x^2+x=x(x^2+x+1)$

If we replace the factored numerator with the original one, we get:

$\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x$

Since we have an equality, this relation is proved.

3 0

3 years ago