What is the measure of each angle in the diagram

Answers

Answer 1

Answer:

37° and 143°

Step-by-step explanation:

Hi there!

These labeled angles are corresponding angles, meaning they have a sum of 180 degrees (we can tell because the line segments they join make a "C" shape).

Knowing this, we can construct the following equation to solve for x:

[tex](-13x+39)+(-4x+5)=180[/tex]

Open up the parentheses

[tex]-13x+39-4x+5=180[/tex]

Combine like terms

[tex]-17x+44=180[/tex]

Subtract 44 from both sides to isolate -17x

[tex]-17x+44-44=180-44\\-17x=136[/tex]

Divide both sides by -17

[tex]\frac{-17x}{-17} =\frac{136}{-17}\\x=-8[/tex]

Therefore, x is equal to -8. Now, use this to find the measure of each angle:

[tex]-4x+5\\= -4(-8)+5\\= 32+5\\= 37[/tex]

[tex]-13x+39\\= -13(-8)+39\\= 104+39\\=143[/tex]

(Alternatively, we can solve for one angle and then subtract it from 180 to solve for the other angle.)

I hope this helps!

Answer 2

the answer is 37 degrees and 143 degrees

Related Questions

PLEASE HELP ON THIS!!

An archaeologist ropes off a dig site using four pieces of rope that have the lenghts of 12 feet, 13 feet, 10 feet, and 11 feet. Name all of the possible four-sided shapes that the archaelogist can enclose with the rope.
HERE ARE THE OPTIONS:
Trapezoid
Parallelogram
Rhombus
Rectangle
Square

Answers

Answer: Okay I might be able to help with this

Step-by-step explanation: Square, Rectangle, Trapezoid and Parallelogram

i think it’s just trapezoid maybe rhombus

Add. Write your answer in simplest form.

4 + 1

6
5
5
6

Answers

Answer:

Step-by-step explanation:

Not very clear, but the simplest form of 4+1 will be 5.

4+1=5 unless u want to add all 4+1=5, 5+5=10, 10+5=15, 15+6=21, 21+6=27 :)

What is the area of the figure below?

Answers

answer: 88in^2
explanation: by separating the figure into easier pieces, simple triangles and rectangles, this problem becomes much easier.
by looking the overall length of the figure, we get 7, if you cut off the big rectangle in the middle from that seven, you end up with a diamond with a height of 10 and a length of 4. multiply those together to get the area of the points on either side.
10 x 4 = 40
now looking back at the rectangle, by adding up the heights, you get a height of 16. multiply this with the length of 3 and you get 48.
add the two and you get the total area.
40 + 48 = 88

Answer:

68 in

Step-by-step explanation:

Because the area of the squares is 3 x 3 = 9 and because there are two squares it is 18. The area of the central figure is 50 because i divided it into 4 triangles and 2 rectangles, each rectangle is 15 in and each triangle is 5 in so 15 x 2 = 30, 5 x 4 = 20 and 30 + 20 + 18 = 68

Find the mean of the set of data. Use a calculator if necessary. (Remember to put the list in numerical order.)

13, 7, 12, 9, 6

Mean is _____.

9.8
10
9.4
8.4

Answers

Answer:

9.4

Step-by-step explanation:

How to find the mean of a data set: Add each number in the set together. Then divide the sum of all of the numbers by how many numbers there are.

The answer your looking for is 9.4

Please explain. This is for me and a friend too. NO LINKS OR I WILL REPORT YOU!!

Have A Great Day/Night!!! :) :) :) :) :)
How are you? :) :) :) :) :)

Answers

Answer:

Step 2: 47

Step 3: 84

Step 4: 114

Step-by-step explanation:

Step 2: The width is 21, and the length is 36.

Sum is addition, so it would be 21 + 36.

21 + 36 = 47

Step 3: 47 x 2 = 84

Step 4: Perimeter is all around, whilst area is on the inside. The length is 21, so it is 21 + 21. 21 + 21 is 42. The width is 36, so it is 36 + 36, which is 72. 72 + 42 = 114.

Step 2:47
Step3: 84
Strp4: 114

Ahmad’s goal is to exercise for a mean of 45 minutes per day for one week. For the first six days of the week, he exercised 35, 40, 37, 42, 45, and 50 minutes. What is the number of minutes Ahmad must exercise on the 7th day to meet his goal for the week?

Answers

Answer:

41.5

Step-by-step explanation:

To find the mean, your supposed to add all the numbers you have and divide by how many numbers there are. In this question your numbers are 35, 40,37,42,45, and 50.

If you add them all up you get 249. Your next step is to divide by how many numbers there are. Since there are 6, your equation will now be 249 divided by 6. Your answer is now 41.5

So on the 7th day Ahmad exercised for 41.5 minutes. If you need to round then maybe 41 minutes.

Answer:

41.5

Step-by-step explanation:

On the 7th day Ahmad exercised for 41.5 minutes and if you want to put it simply its 41 minutes.

Question:
A running club keeps track of the number of hours each person has trained for a race and the length of time it takes the person to run the race. A scatter plot is graphed with the x-axis indicating the number of hours a runner has trained and the y-axis indicating the time, in minutes, it took to run the race. The equation y = 60 - 0.5x is used as the line of best fit of the data. What does the slope of the equation represent?

options:

a
Runners will decrease their race time by 2 minutes for every 1 hour they have trained.
b
Runners will increase their race time by 2 minutes for every 1 hour they have trained.
c
Runners will increase their race time by 1 minute for every 2 hours they have trained.
d
Runners will decrease their race time by 1 minute for every 2 hours they have traine

Answers

The solution is, 60 minutes is a good prediction of how long it will take Tom to run the 6 mile race.

What is scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

Here, we have,

We are given the scatter plot which shows the distance he has run and the time it took for each run.

We are asked to determine a good prediction of how long it will take Tom to run the 6 mile race?

One way to predict the time is by drawing a line that best fits the given data.

As you can see, from the line of best fit, the time corresponding to the 6 miles is around 60 minutes.

Therefore, 60 minutes is a good prediction of how long it will take Tom to run the 6 mile race.

Answers

Answer:

180

Step-by-step explanation: first base is 90 feet away so 90 x 2 = 180

the answer is 180…
hope this helps

what is the measure of x?

Answers

Answer:

38°

Step-by-step explanation:

90°=52° + x°

x°=90° - 52°

x°=38°

The measure of x is 38 degrees

Evaluate the expression (6 + 9 ÷ 3) × 7.

Part A

What is the first step in evaluating the expression

Add 6 and 9 Divide 9 by 3.

Multiply 3 by 7. Add 6 and 3

Part B

What is the second step in evaluating the expression?

Add 6 and 3 Divide 15 by 3.

Multiply 3 by 7. multiply 9 by 7.

Part C

Evaluate the expression using Part A and Part B.

Answer:

Answers

Answer:

Step-by-step explanation:

(6+9÷3)×7

division is always first

(6+3)×7

then parenthesis

9×7

multiply

A: first step is to divide 9 by 3
B: second step is to add 6 and 3
C: 9/3=3
6+3=9
9•7=63

PLEASE HELP ASAP

Describe, in great detail, how you would graph a line that is in slope-intercept form.

Use y=-3x+ 5 as your example.

Answers

Hi there!

»»————-　★　————-««

Please see the explanation below.

»»————-　★　————-««

Explanation:

Recall the meanings of the variables in the slope-intercept equation.

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Slope Intercept Form:}}}\\\\y=mx+b\\---------------\\\boxed{\text{Key:}}\\\\\rightarrow \text{m - slope}\\\rightarrow \text{b - y - intercept}[/tex]

⸻⸻⸻⸻

We already have one point given, the y-intercept. The y-intercept of a line when given a slope intercept form equation is: [tex](0, b)[/tex]Using the example, we would graph the point (0,5) as our first point.

⸻⸻⸻⸻

To graph the second point, we need to understand the meaning of slope. The slope of a line can be remembered as 'rise over run'.The slope for the given equation is -3. This means we would have to go three units down and then one unit right from the y-intercept. Our new point would be (1,2).

⸻⸻⸻⸻

The result should be the graph attached.

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

Thanks it’s really helpful

A unidade astronômica (UA) é dada pela distância média da Terra até o sol. Essa distância é de, aproximadamente, 150 000 000 km. Netuno é um planeta do sistema solar que está a, aproximadamente, 30 UA distante do sol. Com base nesses dados, a distância, em quilômetros, do planeta Netuno ao sol, em notação científica, é
a) 4,5×10 –9 km.
b) 4,5×106 km.
c) 4,5×109 km.
d) 4,5×1011 km.
ME AJUDEM POR FAVOR O_o

Answers

Answer:

Step-by-step explanation:

UNVA KSAOS

The answer would be a because I checked my work and it shows to be A

Find the median of the set of data. Use a calculator if necessary. (Remember to put the list in numerical order.)

10, 15, 8, 1, 3, 10, 6, 3

Median is _____.

7
9
10
4.5

Answers

Answer:

Step-by-step explanation:

The median is the middle value. When you put these numbers in ascending order, you see that 6 and 8 are the middle values (since there are an even number of values. Find the number that is midway between 6 and 8.

Brainliest for this mf

Answers

Circumference ≈ 238.76
Area ≈ 4536.46

Answer:

The area is 4534.16 yds²

The circumference is 238.64 yds

Step-by-step explanation:

Hope This Helps You!!!!! :) :) :) :) :)

Sorry If It's Wrong!!!!!!! :) :) :) :) :)

A coffee grinder uses a current of 1.20 A and has a resistance of 100 ohms. Calculate the voltage explain

Answers

Answer:

Step-by-step explanation:

I = V / R

Current = (voltage) / (resistance)

Current = (500 V) / (250 ohms)

Current = (500/250) Amperes

Current = 2 Amperes

120V

VOLTAGE = CURRENT * RESISTANCE

1.20A * 100ohms

In the previous lesson, you created SMART goals for yourself to extend from the start of the semester to the end of the semester. This lesson introduced you to the various resources that are part of the course. How can these resources help you reach your goals?

Go back to your SMART goal chart from the previous lesson and alter one of the goals so that it incorporates the use of at least one resource.

Answers

Answer:

Improve your growth attitude, be more proactive, learn to understand yourself, be persistent despite hurdles, learn to accept your limits, learn how to make successful decisions, practice thankfulness, and stay open-minded to new opportunities are some of the ways that SMART goals can assist you.

Step-by-step explanation:

I've done this before :)

PLS help me :)))) thx

Answers

Answer:

7) 96in²

8)292yd²

Step-by-step explanation:

6×2=12

14×6=84

84+12=96

26×7=182

22×5=110

182+110=292

Answer for the first one (7):

A = 96 square inches

Step-by-step explanation:

to find the unknown sides: 6+6=12

and: 14-12=2

then split into rectangles and find the area for each of them by multiplying the two sides and then add the two rectangles' areas together

Answer for the second image (6):

A= 229 square yards

Step-by-step explanation:

to find the unknown sides: 29-22=7

and: 26-21=5

split into rectangles find area for each of them then add the areas to get the answer

A storage box has a height of 8 inches, length of 4 inches, and a width of 4 inches. I use cubes with an edge length of 12 inch. If the box is completely full, how many cubes will fit in the storage box?

Answers

Answer:

Step-by-step explanation:

8×4=32×4=128

12×3=36

128÷36= 3.5

but u need to put full cubes which would be 3

The answer is 3 I don’t really know how to explain it

Brainliest for the correct answer

Answers

Answer:

4 because you need to multiply by 2.

Step-by-step explanation:

Hope This Helps You!! :) :) :)

Sorry If It's Wrong!!! :) :) :) :) :)

5 / 3 = 1.66
3 / 1.8 = 1.66
4 / 2.4 = 1.66

Therefore

You would do: 2 / 1.66 = 1.2

Your answer is 1.2 :)

I need to get aleks done on june 3oth

Answers

Answer:

3.2

Step-by-step explanation:

Since it is similar, we know that the sides are gonna be directly proportional so

QR (6.4) / BC (4) = scale factor of 1.6

1.6 x 2 = 3.2

Answer is 3.2 to your aleks

I. am. tired. of. posting. questions. over. and. over. again. I so serious this is a grade and today is my last day of school and report cards come in next week!!! PLZ HELP MEE. or else i will be grounded for the entire summer.... T~T

Answers

Answer:hi

Step-by-step explanation:plz like and brainliest i am noob I really need this plz

A) 1 week $10 | 2 weeks $20 | 3 weeks $30 | 4 weeks $40 | 5 weeks $50

B) m=10w

C) put the bottom as weeks and label it 1 through whatever and put the side as money and label it $10 through whatever and then graph a line going up $10 every week

D) 13 weeks because $128 divided by 10 is 12.8 and round to 13 weeks

What is the value of x and y?

Answers

Answer:

[tex] x=\boxed{2} [/tex]

[tex] y=\boxed{4}[/tex]

Step-by-step explanation:

[tex] \begin{cases} y= 6x-8... (1)\\\\y=-3x+10...(2)\end{cases} [/tex]

From equations (1) & (2), we find:

6x - 8 = - 3x +10

[tex] \therefore 6x+3x = 8+10[/tex]

[tex] \therefore 9x = 18[/tex]

[tex] \therefore x =\frac{18}{9}[/tex]

[tex] \therefore x = 2[/tex]

Plug x = 2 in equation (1)

y = 6(2)-8 = 12-8 =4

So,

[tex] x=\boxed{2} [/tex]

[tex] y=\boxed{4}[/tex]

Answer:9X

y10

Step-by-step explanation:

The display at an aquarium has sea stars and eels in a ratio of 4:5. It also has 5/8 as many rockfish as sea stars. There are 40 more wolf eels than rockfish. How many Sea stars are there?

Answers

4.8 sea stars were there

64 sea stars in the aquarium.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

Ratio of see stars to eels = S : E = 4:5

E = 5/4(S)

Ratio of rockfish to sea strars = R : S = 5:8

R = 5/8(S)

E = R + 40

5/4(S) = 5/8(S) + 40

Multiply by 8 both the sides

10S = 5S + 320

5S = 320

S = 320/5

S = 64

Hence, 64 sea stars in the aquarium

Learn more about Ratio here:

brainly.com/question/1504221

#SPJ2

skskkskskskskkskskssksksk help.

Answers

The answer is 172 cm

Answer:

96 m.

Step-by-step explanation:

3 • 2 is used to find the length of the top measurement from the scale we're given, so you multiply 4 by 2 to get it in meters.

4 • 2 = 8.

You do the same to the right side of the bedroom, 3 • 3 = 9, so 4 • 3 = 12.

To find area, you multiply both sides (8 and 12).

8 • 12 = 96.

HELPPPPP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think $10 is the answer

Just to confirm the last answer it is 10 dollars I think

HEY CAN SOMEONE HELP ME FAST I GIBE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Add all the "x" 's up.

1(2)=2

2(1)=2

3(1)=3

4(1)=4

5(4)=20

6(1)=6

7(1)=7

you add those up to get 44.

Now add all the individual "x" 's which equal 11.

44/11=4

Should be 4 because there is three on the left side and three on the right

Select all the expressions that are equal to 3/4

Answers

Answer:

A and B

Step-by-step explanation:

7/20 + 2/5 = 3/4

19/20 - 1/5 = 3/4

3 4/7 - 9/10 = 2 47/70

The answer is definitely A and B

Plz help will be marked BRAINLIEST

Answers

Answer:

10 inches

Step-by-step explanation:

the answer is 7 inches

Using inverse operations is a direct way to solving equations

What is the Golden Rule for solving equations?

Answers

Answer:

Do unto one side of the equation, what you do to the other!

Step-by-step explanation:

An equation is like a balance scale. If we put something on, or take something off of one side, the scale (or equation) is unbalanced. When solving math equations, we must always keep the 'scale' (or equation) balanced so that both sides are ALWAYS equal.

Answer:

Keeping the equation balanced.

Step-by-step explanation:

You need to keep the equation balanced on both sides of the equal sign, like when you need to get rid of the number 4 on one side you have to do the same thing on the other side.

Please help asap!!.... <33

Answers

Answer:

448

Step-by-step explanation:

I = Prt where I is the interest P is the principle r is the rate and t is the time

I = 400 * (.02) * 6

I = 48

The amount in the account is the interest plus the original amount

400 +48

448

Answer:

$ 448

Step-by-step explanation:

amount that Elena deposit (P) =$ 400

rate of interest (R)=2%

time (T)=6 years

formula to find interest is

Interest = PTR/100

=$400*6*2/100

=$4800/100

=$48

Total amout she receives after 6 years is

Amount = Interest + Principal

=$48 + $400

=$448

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