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

Find The Value Of X, Then Find Each Angle Measure.

Answers

Answer 1

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


Related Questions

Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight

Answers

Answer:

The equation is 157+28=185.

157+ 28= 185

I think that’s right

Write and solve an equation to find the missing dimension of the figure.

Answers

Answer:

15.5769230769

Step-by-step explanation:

8×13 = 104

1620÷104 = 15.5769230769

6(x-2)=-18 what does x=

Answers

Answer:

x = -1

Step by step explanation:

Distribute 6

6x-12= -18

Add 12 to both sides

6x= -6

Divide both sides by 6

x= -1

Hope this helps

HELP!!!! If point P(-6,4) is translated 3 units right and 2 units down, what are the coordinates of P''?

Answers

Answer:

P" is then (-3, 2).

Step-by-step explanation:

If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.

P" is then (-3, 2).

Answer:

Answer:

P" is then (-3, 2).

Step-by-step explanation:


Which graph is a function of x?

Answers

Answer:

The first graph is the function of x

Is there more graphs because it’s not the top two.

lily wants to put a bird food mix in her bird feeder.Her bird feeder can hold 8 cups of bird food.The bird food is a mix of 20% corn and the rest is sunflowers seeds how many cups of corn will lily need to fill the 8 cup bird feeder.If the rest of the mix is sunflower seed,what percent of the bird food is sunflower seed.

Answers

Answer:

80%

Step-by-step explanation:

100% is full so you do 100%-20%=80% so thats the answer

What is the answer to this problem? 23% of 219

Answers

Answer:

50.37

Step-by-step explanation:

Answer: 50.37

Step-by-step explanation:

Can someone plsss help me with this one problem plsss I’m trying to get a 90 and also can you explain how you got your answer

Answers

from question,
lacy learned 34 recipes in 17 weeks,
so in 1 week she learns = 34/17 =2 recipes,
hence she learns 40 recipes in
= 40*2
=80 recipes.

A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step
— 5х + бу = 41
7x - 6y = -43

Answers

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

the bar graph shows the approximate average rainfall for different cities in Texas compare the total inches of rainfall to the average annual rainfall in san Antonio ?​

Answers

Answer:

I don't know

Step-by-step explanation:

I don't know

A woman bought a bag of rice 5700 naira and in 3 weeks later, she could only buy 2/4 of the bags for 5700 naira. Find the percentage?

Answers

Answer: 100% increase

Step-by-step explanation:

You need the find the cost per bag in those weeks.

Three weeks ago, she could buy a bag for N5,700.

Three weeks after that, she could only buy half a bag for the same amount. A bag therefore costs:

= 5,700 ÷ 2/4

= N11,400

The percentage increase is:

= (11,400 - 5,700) / 5,700

= 100%

Divide and answer in simplest form: 5 ÷35

Answers

Step-by-step explanation:

Reduce 5/35 to lowest terms

The simplest form of 535 is 17.

Answer:

1/7

Step-by-step explanation:

divide both sides by 5

Mhanifa please help im almost done :)

Answers

Answer:

19)

9/4 = (r - 10)/r9r = 4(r - 10)9r = 4r - 405r = -40r = -8

20)

(x + 6)/x = 10/710x = 7(x + 6)10x = 7x + 423x = 42x = 14

21)

(n - 9)/(n + 5) = 7/47(n + 5) = 4(n - 9)7n + 35 = 4n - 363n = -71n = -71/3

22)

6/(b + 9) = 4/(b + 5)6(b + 5) = 4(b + 9)6b + 30 = 4b + 362b = 6b = 3

23)

8/3 = (v - 9)/(7v + 4)8(7v + 4) = 3(v - 9)56v + 32 = 3v - 2753v = - 59v = -59/53

24)

8/(5x - 4) = 6/(x + 5)8(x + 5) = 6(5x - 4)8x + 40 = 30x - 2422x = 64x = 64/22x = 32/11

What is the solution to the system of
equations graphed below?

a.(-13,-20)
b.(-15,-22)
c.(-1,-8)
d.(-10,-15)

Answers

Answer:

(-13,-20)

Step-by-step explanation:

We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7

and the second equation is y = 2x+6

Therefore, we have two equations.

[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]

Because both equations are equal (y=y)

x-7=2x+6

-7-6=2x-x

-13=x

We know the value of x, but not y-value. We substitute the value of x to get the value of y.

Substitute in any given equations which I will be substituting in the first equation.

y=-13-7

y = -20

Therefore when x = -13, y = -20

In coordinate form, we can write as (-13,-20).

If you have any questions, feel free to ask.

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
plz plz

Answers

It’d be 1200-928= 272. Therefore, the inequality would be x<272$

hhheeelllppp.........​

Answers

B, the explanation is right there,

Branliest!!!! 100 points! solve for x in the image below:
also here's the equation: 3x+9= 90 degrees

Answers

Answer:

Hi! The answer to your question is x = 27

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

x=27

Step-by-step explanation:

3x+9=90

subtract 9 from both sides

3x=90-9

3x=81

divide by 3

x= 27

checking

3x27 +9= 90

81+9=90

I hope this makes sense

Solve the inequality -5(x - 1) > -40, and graph the solution on a number line.

Answers

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

Learn more about the inequality visit:

https://brainly.com/question/25275758

#SPJ2

Will the following variables have positive correlation, negative correlation,
or no correlation? Number of managers on staff at a restaurant and number
of waiters on staff

Answers

Answer:

Step-by-step explanation:

Which inequality is true if p = 3.4 ?

Answers

Answer:

the shape isnt angled thats what it means

Step-by-step explanation:

please help asap
which inequality is represented by this graph

Answers

Answer:

W is either less than or( less than or equal to)

Step-by-step explanation:

I do not know what shows if something is equal to so the best answer I can think if is less than -2 as it looks like W is everything lower or equal to -2

write the ratios sin m, cos m, and tan m. give the exact value and four decimal approximation. Please help.

Answers

given,
hypotenuse = 23
adjacent = 4sqrt19
opposite = 15
then, using sohcahtoa,
sin m = 15/23 =0.652
cos m = 4sqrt19/23 = 0.758
tan m = 4sqrt19/15 = 1.162

Trigonometric functions are the ratio of different sides of a triangle. The ratios sin∠m, cos∠m, and Tan∠m are 0.758, 0.6522, and 1.1624.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As it is given that the base of the triangle for the ∠m is Mk(15 units), the perpendicular is KL(4√19), and the hypotenuse is 23. Now, the trigonometric ratios can be written as,

Sine

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm Sin (\angle m)=\dfrac{KL}{ML}\\\\\\\rm Sin (\angle m)=\dfrac{4\sqrt{19}}{23}\\\\\\\rm Sin (\angle m)=0.758069\approx 0.758[/tex]

Cosine

[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\\\rm Cos(\angle m)=\dfrac{MK}{ML}\\\\\\\rm Cos(\angle m)=\dfrac{15}{23}\\\\\\\rm Cos (\angle m)=0.65217\approx 0.6522[/tex]

Tangent

[tex]\rm Tan\theta=\dfrac{Perpendicular}{Base}\\\\\\\rm Tan(\angle m)=\dfrac{KL}{MK}\\\\\\\rm Tan(\angle m)=\dfrac{4\sqrt{19}}{15}\\\\\\\rm Tan(\angle m)=1.16237\approx 1.1624[/tex]

Hence, the ratios sin m, cos m, and tan m are 0.758, 0.6522, and 1.1624.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___

Answers

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

To know more about the sequence:

https://brainly.com/question/28615767

#SPJ2

5x-2y=15
2x+6y=-11
solve by substitution or equal values method

Answers

Answer:

Point form -

[tex](2-\frac{5}{2})[/tex]

Equation form -

[tex]x=2, y=-\frac{5}{2}[/tex]

Step-by-step explanation:

if you have any questions feel free to ask

Ben opened a savings
account with $75,
Every week he added
$20 more. Write on
equation to model this
situation.

Answers

Answer:

The equation would be y = 75 + 20x

Please help soon!!!!!

Answers

The answer is 96in because is you multiply 8x2x6= 96

Which group of numbers is listed from least to greatest?

-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9

Answers

Answer:

-2, -1, 0, 4, 9

Step-by-step explanation:

Least to greatest: -2, -1, 0, 4, 9

can someone please answer these
*will give brainliest if you answer all* AND NO LINK

Answers

Answer:

Rectangular Prism → h = 2in

                                    B = 143in

                                    P = 48in

Surface Area = 382in²

Lateral Surface Area = 96in²

Triangular Prismh = 7in

                                B = 20in

                                P = 27in

Surface Area = 229in²

Lateral Surface Area = 189in²

Triangular Prism h = 10in

                                B = 120in

                                P = 60in

Surface Area = 840in²

Lateral Surface Area = 600in²

Step-by-step explanation:

Formulas: Total Surface Area = 2B = Ph

                  a²+b²=c²

                  Area = [tex]\frac{1}{2}[/tex]bh

                  Lateral Area = Ph

PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)

1) The High View tourist train must climb a 6,000 foot high mountain. The tracks are at a 30° angle with the ground. What is the distance the train must travel from the base of the mountain to the peak of the mountain?

Answers

This high school stuff?

PLZZZ HELP!! BRAINLIEST FOR WHOEVER GETS RIGHT ANSWER
The graphs below have the same shape. What is the equation of the red graph.

Answers

Answer:

2 - x^2

Step-by-step explanation:

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