Find the measure of the missing angles in this triangle

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Sum of all angles on one line is 180 degrees.

We have the exterior angle for one angle, so the interior angle = 180 - 136 = 44 degrees.

That angle is the same angle as the one to the right, because those two sides are the same, hence these two angles must be the same.

The sum of all angles in a triangle is 180 degrees. The remaining angle = 180 - 44 - 44 = 92 degrees.

The correct answer is: 44, 44, 92.

You might be interested in

PLEASE HELP ME OUT!!

Zielflug [23.3K]

Answer:

(d) 1/√(s³)

Step-by-step explanation:

The expression can be simplified by making use of the rules of exponents.

<h3>Rules of exponents</h3>

The relevant rules are ...

$a^b\cdot a^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\\\\a^{b/c}=\sqrt[c]{a^b}$

<h3>Application</h3>

The given expression can be simplified by applying these rules.

$\left(\dfrac{1}{s^{-1}\cdot s^8}\right)^{3/14}=\dfrac{1}{(s^{-1+8})^{3/14}}=\dfrac{1}{s^{7\cdot3/14}}=\dfrac{1}{s^{3/2}}=\boxed{\dfrac{1}{\sqrt{s^3}}}$

3 0

2 years ago

A number is doubled and then 1 is added to it. The answer is divided by 5 and then increased by 16. The final result is 18.

ipn [44]

So let's break down this sentence (Let n = unknown number):

"A number is doubled and then 1 is added to it"; Remember that double means multiplied by 2. With this sentence, we can determine that "2n + 1" is a part of the equation.
"The answer is divided by 5, and then increased by 16"; The "answer" they refer to is "2n + 1" from the prior sentence. Since this is divided by 5 and <em>then</em> added by 16, we can determine that $\frac{2n+1}{5}+16$ is a part of our equation.
"The final result is 18"; This means that the prior part of the equation is equal (=) to 18. <u>With this info, our full equation is $\frac{2n+1}{5}+16=18$ </u>

Now, let's solve our prior equation found in A. To solve for the unknown number, n, we need to isolate the variable onto 1 side of the equation. Firstly subtract both sides by 16 to cancel out the + 16 on the left side:

$\frac{2n+1}{5}=2$