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3 years ago

Explain how you can use the triangle sum theorem to find the measures of the angles of an equilateral triangle

1 answer:

Rudiy273 years ago

6 0

The triangle Sum Theorem says that the sum of all the angles in a triangle has to equal 180 degrees. Since all three sides (and, consequently, angles) in an equilateral triangle are the same, you can divide 180 by 3 to find the measure of any angle of an equilateral triangle (60 degrees).

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Simplify the expression: cot x sin x - sin quantity pi divided by two minus x. + cos x

podryga [215]

$\cot x= \frac{\cos x}{\sin x} \\ \sin ( \frac{ \pi }{2}-x)=\cos x \\ \\ \cot x \sin x-\sin( \frac{ \pi }{2}-x) +\cos x= \\ \frac{\cos x}{\sin x} \sin x- \cos x+ \cos x= \\ \cos x- \cos x+ \cos x = \\ \cos x \\ \\ \ \cot x \sin x-\sin( \frac{ \pi }{2}-x) +\cos x= \cos x$

3 0

3 years ago

CAN SOMEONE PLS ANSWER-If W(- 10, 4), X(- 3, - 1) , and Y(- 5, 11) classify AEXY by its sides . Show all work to justify your an

AnnZ [28]

Answer:

WX = $\sqrt{74} \approx 8.6023253\\\\$
XY = $2\sqrt{37} \approx 12.1655251\\\\$
WY = $\sqrt{74} \approx 8.6023253\\\\$
Classify: Isosceles

============================================================

Explanation:

Apply the distance formula to find the length of segment WX

W = (x1,y1) = (-10,4)

X = (x2,y2) = (-3, -1)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\$

Segment WX is exactly $\sqrt{74}$ units long which approximates to roughly 8.6023253

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Now let's find the length of segment XY

X = (x1,y1) = (-3, -1)

Y = (x2,y2) = (-5, 11)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\$

Segment XY is exactly $2\sqrt{37}$ units long which approximates to 12.1655251

-------------------

Lastly, let's find the length of segment WY

W = (x1,y1) = (-10,4)

Y = (x2,y2) = (-5, 11)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\$

We see that segment WY is the same length as WX.

Because we have exactly two sides of the same length, this means triangle WXY is isosceles.

8 0

3 years ago

The cost of two pounds of cherries is $8.58 what is the unit rate that describes the cost per pound of cherries

Mashcka [7]

Since you have 2 pounds, and spend $8.58 total, divide the amount you spent, but how many pounds you bought to get the unit rate which is $4.29

5 0

3 years ago

2 (6 (9 5) 2 3) = 156

zalisa [80]

The correct
answer is 156

8 0

3 years ago

Simplify 3^8 x 3^4 / 3^2 x 3^8 leaving your answer in index form

Furkat [3]

Answer:

3² or 9

Step-by-step explanation:

Step 1: Add exponents

$\frac{3^{12}}{3^{10}}$

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

3 0

3 years ago

Read 2 more answers