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tatiyna
2 years ago
14

Find the value of x, then find each angle measure.

Mathematics
1 answer:
sergiy2304 [10]2 years ago
7 0

Answer:

x = 9

m<J = 57

m<K = 44

m<L = 79

Step-by-step explanation:

Theorem:

The sum of the measures of the angles of a triangle is 180°.

We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.

7x - 6 + 3x + 17 + 9x - 2 = 180

Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9

19x + 9 = 180

Subtract 9 from both sides.

19x = 171

Divide both sides by 19.

x = 9

Now we find the measure of each angle.

m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57

m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44

m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79

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Dima020 [189]

Answer:

0.09

Step-by-step explanation:

The data set is:

0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26

The number in the middle is 0.09. Hope this helps!

3 0
3 years ago
83 1/5 -108 2/5 - (-99 1/5) =
KatRina [158]
<span>83 1/5 -108 2/5 - (-99 1/5) = 74</span>
5 0
3 years ago
Read 2 more answers
(2/5)^-2(-3)^4<br><br> What is the equivalent?
Nikolay [14]

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

8 0
2 years ago
A scientist is interested in the effect of time spent with parents and number of hours
gladu [14]

Answer: If X = 5, z=<u>-3</u>

If X = 37, z= <u>3.4</u>

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

z=\dfrac{x-\mu}{\sigma}

, where \mu = Population mean

\sigma = Population standard deviation.

As per given , we have

\mu=20\\\\\sigma=5

Then , the z-score for x =5

z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3

i.e. If X = 5, z=<u>-3</u>

When x =37,then z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4

i.e. If X = 37, z= <u>3.4</u>

7 0
3 years ago
A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
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seperable differential equations will have the form
\frac{dy}{dx} = F(x) G(y)

what you do from here is isolate all the y terms on one side and all the X terms on the other
\frac{dy}{G(y)} = F(x) dx
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
3 years ago
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