All categories

2 years ago

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

1 answer:

Rudiy272 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).

You might be interested in

It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.

alexira [117]

Answer: 0.4 meters per hour.

Step-by-step explanation:

The rate of change of distance with respect to time is known as speed.

Formula : $\text{Rate of change}=\dfrac{\text{Change in position}}{\text{Change in time}}$

Given : It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.8 meters.

i.e. Change in position= 2.8-2=0.8 meters

Change in time = 3-1=2 hours

i.e. $\text{Rate of change}=\dfrac{0.8}{2}=0.4$

Hence, the rate of change =0.4 meters per hour.

4 0

2 years ago

Read 2 more answers

In the right triangle shown, the third side can be represented by the expression

Westkost [7]

The third side can be represented by D) $x = \sqrt{z^{2} } -y^{2} .$

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

In the given triangle, the hypotenuse is the side that is represented by z. Another side on the triangle is represented by the value y.

Step 2:

Assume the other side of the triangle measures x units.

So according to the Pythagorean theorem,

$z^{2} = x^{2} +y^{2} , x^{2} = z^{2} - y^{2} .$

$x = \sqrt{z^{2} } -y^{2}$ which is option D.

6 0

3 years ago

What is the product?

ZanzabumX [31]

To get the answer to this equation you first cancel out the 6! ;)

(x^2-1)(6x-1) / (x+1)

Then rewrite x^2-1 in the form a^2 + b^2, where a=x and b=1

(x^2-1^2)(6x-1) / (x+1)

Then use the difference of squares!

(x+1)(x-1)(6x-1) / (x+1)

LASTLY cancel "x+1" !

so ur answer is (x-1) (6x-1)

That makes the correct answer to this problem answer choice (D) (x-1) (6x-1)

YW!!! ;)

6 0

3 years ago

Read 2 more answers

My final balance after 48 months was $896.00. if i bring back originally put$800.00 into the bank, what was the interest rate?

fomenos

The interest rate is $96.00.

3 0

3 years ago

For several months, a restaurant manager collected data on the number of people at a table (p) and the total bill, in dollars (d

Leviafan [203]

The answer will be c. I'm sorry if I'm wrong

4 0

3 years ago

Read 2 more answers