Find the measure of the angle indicated

Find The Measure Of The Angle Indicated

Answers

Answer 1

Answer:

60° and 67°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(49)

17x + 8 is an exterior angle of the triangle, thus

17x + 8 = 50 + 10x ( subtract 10x from both sides )

7x + 8 = 50 ( subtract 8 from both sides )

7x = 42 ( divide both sides by 7 )

x = 6

Thus

∠ C = 10x = 10(6) = 60°

(50)

99° is an exterior angle of the triangle, thus

2x + 10 + 6x + 1 = 99 , that is

8x + 11 = 99 ( subtract 11 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Thus

∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°


Related Questions

Select all the true statements about this graph.


A. The graph is nonlinear

B. The function increases at the same rate.

C. The rate decreases after x=2.

D. The graph is a function

E. The graph is increasing in two intervals.

Answers

The correct answer is D

what does x equal and what are the angle measures?? help Asap

Answers

all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2

Micah downloads music from an online music store. He pays $1.00 for each song, but if he buys three songs he gets a fourth song for free. Does this relationship have a constant rate of change or a varying rate of change?

Answers

Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free

Step-by-step explanation:

Answer:

A varying rate of change.

Step-by-step explanation:

He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).

(That's with the amount of songs as the x value and money spent as the y-value)

Solve the equation for a.

K = 4a + 9ab

a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.

Answers

Answer:

[tex]a= \frac{k}{9b+4}[/tex]

Step-by-step explanation:

In this question, you would solve for "a".

Solve:

K = 4a + 9ab

Since we have our "a" on the same side, we can factor it out from the variables:

K = a(9b + 4)

To get "a" by itself, we would have to divide both sides by 9b + 4:

K/9b+ 4 = a

Your answer would be K/9b+ 4 = a

It would look like this: [tex]a= \frac{k}{9b+4}[/tex]

Answer:

it's a = K / 4 + 9b

Step-by-step explanation:

i just took the test & got it right .

What is the linear equation? (In y=mx+b form)

Answers

y= 3x+5

step by step explanation:

Which choice is equivalent to the quotient shown here when x > 0?​

Answers

The answer should be D.
The square root of two.

The simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, operators, and functions that can be evaluated to produce a numerical value or another mathematical object such as a polynomial, equation, or inequality.

We can simplify the given expression by factoring out the greatest perfect square factor under each square root symbol. For the first term, √18x³, we can factor out √9x², which is 3x√2. For the second term, √9x, we can factor out √9, which is 3. Thus, we have:

√18x³ + √9x = √(9x²⋅2x) + √(9⋅x) = 3x√2 + 3√x

We can then factor out 3 from both terms:

√18x³ + √9x = 3(x√2 + √x)

Therefore, the simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.

To know more about an expression follow

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Please help!! I included a pic of the problem to make it easier.

Find the quotient (z/w)

z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)

[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these

Answers

Answer: i think it is D

we have:

[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]

Step-by-step explanation:

the number of employees went from 7623 to 6824 what percent did this increase or decrease

Answers

Answer:

9.5% decrease

Step-by-step explanation:

Find 6% tax of $12.50 *
Your answer

Answers

75 cents is the answer, or $0.75

Reba works at a starbucks coffee shop where a 120z cup of coffee costs $1.65, a 160z cup costs $1.85, and a 20oz cup cost $1.95. During one busy period, Reba served 55 cups of coffee, emptying six 1440z brewers while collecting a total of $99.65. How many cups of each size did reba fill?

Answers

Answer:

Cups of 120oz sold = 17

Cups of 160oz sold = 25

Cups of 200oz sold = 13

Step-by-step explanation:

We know that:

a 120z cup of coffee costs $1.65

a 160z cup costs $1.85

a 200oz cup cost $1.95

Let's define the variables:

A = # of 120z cups that she sold

B = # of 160oz cups that she sold

C  = # of 200oz cups that she sold.

We know that:

"Reba served 55 cups of coffee"

A + B + C = 55.

"emptying six 1440z brewers while"

A*120oz + B*160oz + C*200oz = 6*1440oz

"collecting a total of $99.65"

A*$1.65 + B*$1.85 + C*$1.95 = $99.65

Then we have a system of equations:

A + B + C = 55

A*120oz + B*160oz + C*200oz = 6*1440oz

A*$1.65 + B*$1.85 + C*$1.95 = $99.65

To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate A in the first one:

A = 55 - B - C

Now we can replace that into the other two equations:

(55 - B - C)*120oz + B*160oz + C*200oz = 6*1440oz

(55 - B - C)*$1.65 + B*$1.85 + C*$1.95 = $99.65

Now we can rewrite those equations as:

B*40oz + C*80oz = 8640oz - 55*120oz  = 2040oz

B*$0.20 + C*$0.30 = $99.65 - 55*$1.65 = $8.90

Now we have the system:

B*40oz + C*80oz = 2040oz

B*$0.20 + C*$0.30 = $8.90

Now we need to isolate another variable in one of the equations, let's isolate B in the first one:

B = 2040oz/40oz - C*80oz/40oz = 51 - 2*C

Now we can replace this in the other equation and get:

(51 - 2*C)*$0.20 + C*$0.30 = $8.90

Bow we can solve this for C.

$10.20 - C*$0.40 + C*$0.30 = $8.90

$10.20 - $8.90 = C*$0.10

$1.30 = C*$0.10

($1.30/$0.10) = C = 13

Now we can replace this in the equation:

B = 51 - 2*C = 51 - 2*13 = 25

And for A, we had:

A = 55 - B - C = 55 - 25 - 13 = 17

Then:

Cups of 120oz sold = 17

Cups of 160oz sold = 25

Cups of 200oz sold = 13

Given the following system of equations, identify the type of system.
x + 2y = 6
3x + 6y= -9
A. Consistent
B. Inconsistent
C. Equivalent

Answers

Answer:

The two lines in the graph are parallel, so it is B. Inconsistent since there is no solution.

Answer:

the answer would be B inconsistent

Please help if you can :(

Answers

Answer:

its b

Step-by-step explanation:

Simplify
2x( x^3-3x^2+5x-8)

Answers

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

need help btw i am in middle school

Answers

Answer:2

Step-by-step explanation:HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!! YOU CAN ALSO PUT IT AS A QUESTION< THIS IS NOT A JOKE THIS IS SOMETHING VERY SEROUIS AND DANGEROUS AND SHOULD BE TAKEN VERY SEROUISLY

5/7x + 15 - 9/14x - 9

Answers

Answer:

1/14x+6

Step-by-step explanation:

I have already learn that

Answer:

1/14x+6

Step-by-step explanation:

Hope this helped have an amazing day!

Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.

a. calculate the amount Scott spends each month on groceries

b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)

help plss

Answers

Answer:  i don’t know  this anwser but pls give me points I’m sure another person will give u something

Step-by-step explanation:

help asap I have 2 min

Answers

Number one I think I’m so sorry if I’m wrong !!
Hope this helped !

plz help me solve this​

Answers

Answer:

1338.68 meters

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together.

50.9m + 50.9m + 618.44m + 618.44m = 1338.68m

1338.68
i think im not that good at this subject but hope you get it correct and pass, all positive energies to you!!

The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?

Answers

Answer:

She can make 18 servings.

Step-by-step explanation:

We can simply multiply 3 by 6 to get the number of servings.

This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.

Can someone help me with this please

Answers

Answer:

The 3rd one

Step-by-step explanation:

The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.

Simplify (3x – 5) + (5x + 1).

Answers

Answer:

(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

We have to simplify the given expression

First we will open the bracket having negative notation outside.

( 3x - 5 ) - 5x - 1

3x - 5 - 5x - 1

Now we will collect the similar terms together.

3x - 5x - 5 -1

-2x - 6

So the simplified form of the expression is (-2x - 6)

Answer:

8x - 4

Step-by-step explanation:

queifnsldnalbdejsjsbsjas

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?

Answers

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

An expert diver is looking for a particular species of fish along the coastline. He dives 22 feet below the surface of the ocean. Then he dives down 7 feet and down another 4 feet before he finds the species of fish he is looking for. What was the depth at which the diver finds the fish​

Answers

Answer:

-55

Step-by-step explanation:

please help! i’ll give brainliest! thank u!

Answers

Answer:

Negative with little correlation

It has negative slope if you imagine a line

Answer the question below?

Answers

the figure is regular quaidlater

the sum of all interior angle is 360

measure of angle = 360/4

= 90

so the exterior angle is 90 ( by linear pair)

character traits for a nice person

Answers

Answer:

15 Simple Traits Of A Truly Good Person

They are honest in relationships. ...

They compliment others when deserved. ...

They call their parents regularly. ...

They are polite. ...

They are kind to everyone. ...

They are generous with their belongings. ...

They remember their manners. ...

They think of others.

Step-by-step explanation:

HOPE THIS HELP

PICK ME AS THE BRAINLIEST

Answer:

friendly, helpfull, kind, and likeable.

Step-by-step explanation:

Simplify.
Hurry please :)

Answers

Answer:

[tex]6\sqrt{30}[/tex]

Step-by-step explanation:

Which equation represents a line with a slope of -2/3

and passes through the point (6,-2)?

Answers

y= -2/3x +2
hope this helped!!

Is the following relation a function?

Relation:
X Y
-4 2
-2 1
0 0
1 2

The domain:
{-2,-4, 0, 1 }

The range:
{ 0, 1, 2 }

Answers

It is a function because when the x’s repeat then it's a none function

If the slope of y=2x+5 is changed to -2, how does the graph change?

Answers

you go down 2 and then right 5

The positive graph of y = 2x + 5 changes to the negative graph which moves downward from left to right when the slope is changed to -2.

What is Slope?

Slope of a line is defined as the difference in the y coordinates divided by the difference in the x coordinates of two points.

Slope of a line is usually denoted by the letter m.

First let us take the graph of y = 2x + 5.

Take x intercept and y intercept of this graph.

x intercept is the point where line touches X axis and y intercept is the point where line touches Y axis.

From the equation of the line, y intercept = 5

So we get a point (0, 5)

Now to find x intercept, let y = 0 in the equation, then x = -2.5

So we get another point (-2.5, 0)

So the line y = 2x + 5 passes through the points (0, 5) and (-2.5, 0).

Now if the slope changed to -2, equation becomes y = -2x + 5.

y intercept is same.

So one point of the line will be (0, 5)

To find x intercept, let y = 0 in the second equation, then x = 2.5

So the second line passes through the points (0, 5) and (2.5, 0)

That is, the graph which goes upward from left to right changed to the graph downward from left to right.

Hence, when the slope changed to -2, the graph goes downward from left to right.

To learn more about Slope, click:

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