Set up and solve an equation to find the measure of each missing angle.

Set Up And Solve An Equation To Find The Measure Of Each Missing Angle.

Answers

Answer 1

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation:

[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)

Solve for x

[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]

Add like terms

[tex] 78 + 3x = 180 [/tex]

Subtract 78 from each side

[tex] 78 + 3x - 78 = 180 - 78 [/tex]

[tex] 3x = 102 [/tex]

Divide both sides by 3

x = 34

<A = 2x + 8

Plug in the value of x

<A = 2(34) + 8 = 76°

<B = 63°

<C = x + 7

Plug in the value of x

<C = 34 + 7

<C = 41°


Related Questions

y + 1 = -2x-3 in standard form *

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

y + 1 = -2x - 3

Subtract 1 from both sides to get the y by itself

y = -2x - 3 - 1

Simplify (Combine Like terms)

y = -2x - 4

if y=6 and x=-2, find x when y=-3

Answers

Answer:

1

Step-by-step explanation:

if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.

Dan buys a package of 12 cans of lemonade for $3.72. What is the unit price per can?

A
$0.37

B
$0.32

C
$0.31

D
$0.12

Answers

Answer:

$0.31

Step-by-step explanation:

Unit price is measured by dividing the price by the amount of an item, so 3.72/12 = 0.31

Answer: The answer is C

Step-by-step explanation:

At the bottom it says

m/_XZY=

Please help

Answers

Answer:

x=13

Step-by-step explanation:

Once again, all three angles of a triangle add up to 180° so we can form the equation: 47+90(this is the right angle)+4x-9=180°

Algebra:

47+90+4x-9=180

128+4x=180

4x=52

x=13

Hope this helps!! :) And that's all the time I have!! :( You can do it!! Good luck with the rest of your homework! :D

Select all of the situations which can be represented by the expression 25.75x + 10.
Carol has $25.75. She earns $10.00 for each car that she washes.
Max has $10.00. He earns $25.75 for every lawn that he mows.
Jin buys x postcards for $25.75 each and x keychains for $10.00 each.
Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
Jon buys 10 toy cars for $25.75 each

Answers

Answer:

-Max has $10.00. He earns $25.75 for every lawn that he mows.

-Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

Step-by-step explanation:

any real number is equal to itself a=a

Answers

Answer:

well no, π is a real number and 1/9 is a real number but they are not equal

Yes, If you saying a=a

Step-by-step explanation:

Answer:

Yes, that's true

Step-by-step explanation:

If a real number is the representation of a specific value, then said number should equal itself.

Which puts the equation 2x + y = 5 into slope-intercept form?

Answers

Answer:

y= -2x+ 5

Step-by-step explanation:

plug in y=mx+b

The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.

An equation in the slope-intercept form is written as y = mx + c.

The given equation is 2x + y = 5.

To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,

(2x + y) - 2x = 5 - 2x

2x + y - 2x = 5 - 2x

y = 5 - 2x

Rearrange the terms

y = -2x + 5

Here, -2 is the slope and 5 is the intercept.

Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.

Learn more about Equation here:

https://brainly.com/question/28953876

#SPJ6

Y+3=X+4 Whats is the slope of the equation

Answers

Answer:

slope = 1

Step-by-step explanation:

Write the equation in slope-intercept form: y = mx +b

y + 3 = x + 4

     y = x + 4 - 3

    y  = x + 1

Slope = 1

Lucas read a 480 page book from cover to cover in a single session, at a constant rate. After reading for 2.5 hours she had 400 pages left to read. How fast was sara reading
Answer: ____ pages per hour

Answers

Answer:

32 pages per hour

Step-by-step explanation:

 

Triangle with angles 1, 2, 3 has a baseline k, and triangle with angles 4, 5, 6 has a baseline l. Lines k and l are parallel. Given that k ∥ l, identify the congruent angles in the triangles. ∠1≅ ∠2≅ ∠3≅

Answers

Answer:

angel 5,4,and 6 in that order

Step-by-step explanation:

Answer:

look at the pictureeeeeee

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio.
12 to 30

Answers

Answer:

4:10

24:60

48:120

As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.

Consider these graphed number lines.
Graph A
-5 4 -3 -2 -1 0 1 2 3 4 5
Graph B
Which number line represents the solution for the
inequality 12x - 5] > 3?
O graph A
O graph B
O graph C
O graph D
-5 -4 -3 -2 -1 0 1 2 3 4 5
Graph C
-5 4 -3 -2 -1 0 1 2 3 4 5
Graph D
-54 -3 -2 -1 0 1 2
3 4 5

Answers

Answer: Graph A

Step-by-step explanation:

got it right edg2021

#CountryMusic
and ig the question is what is the scientific notation of 0.0021

Answers

Answer:

0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]

Step-by-step explanation:

We need to write 0.0021 in scientific notation.

Scientific Notation: A number expressed in scientific notation is written when numbers between 1 to 10 are multiplied by a power of 10.

In the given example 0.0021 our decimal will be shifted to the right 3 digits and the power will be negative 3 (-3)

So, 0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]

Find the length of arc ab. Need help!!!

Answers

Answer:

12.4cm (rounded to nearest tenth)

Step-by-step explanation:

To find the length of an arc, you have to find the circumference of the full circle itself multiplied by the angle of the arc over 360°. The circumference of a circle is pi × r × 2.

Length of arc = [tex]\frac{90}{360}[/tex] × 3.14 × 7.9 × 2

                      = 12.403

                      ≈ 12.4cm (rounded to nearest tenth)

I'M IN A HURRRRYYYYYY
PLEASEE HELP
18 POINTS
Which expression is equivalent to square root 80
^4 square root 2 times square root 5
square root 2^4 times square root 5
square root 2 times square root 2 times square root 5
square root 2^2 times square root 2^2 times square root 5^2

Answers

Answer:

4 square root 5 (A)

Step-by-step explanation:

Given:  square root of -80

We have to find an equivalent expression.

(hope this helps) :))

Answer:

I think the second one. I could be wrong

Step-by-step explanation:

13
According to the social hierarchy below, which of the
following held a higher place in society?
A
slaves
B
scribes
C С
Craftworkers
D
peasants/farmers

Answers

The answer is B. scribes



Combine the like terms to create an equivalent expression.
12r + 5 + 3 + 4r

Answers

16r+8 is the answer

Answer:

16r+8

Step-by-step explanation:

12r+4r+8=

16r+8

the sum of two numbers is 10 and their difference is 4

Answers

I am here again! The numbers you are looking for are 3 and 7.

Answer:

7 and 3

Step-by-step explanation:

7 + 3 = 10

7 - 3 = 4

63x19 estimate and choose method

Answers

Answer:

1200 would be an estimate

Step-by-step explanation:

Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200

Answer:

1197

Step-by-step explanation:

63 x 19 = 1197

Can you mark me brainliest

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in captivity. The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles have lifespans of at least 24 years? Find the z-table here. O 0.0104 O 0.3336 O 0.4896 O 0.6664​

Answers

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, [tex]\mu=18[/tex]

and standard deviation, [tex]\sigma=2.6[/tex]

The z-score, for any arbitrary life span of  x year, is given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

By using the given values, we have

[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]

The z-score for x=24, by using equation (i), is

[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

Answer:

A

Step-by-step explanation:

Helppppppppppppppppppp

Answers

Answer is -4/3
Merry Christmas

Enter the equation in standard form.
y − 6 = −(x + 4)

Answers

Answer:   x + y = 2

====================================================

Work Shown:

y - 6 = -(x + 4)

y - 6 = -x - 4

y = -x - 4 + 6 ..... adding 6 to both sides

y = -x + 2

y + x = 2 .... adding x to both sides

x + y = 2

The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.

Given the speeds of each runner below, determine who runs the fastest. \text{Tony runs 12 feet per second.} Tony runs 12 feet per second. \text{Katie runs 450 feet in 30 seconds.} Katie runs 450 feet in 30 seconds. \text{Frank runs 1 mile in 577 seconds.} Frank runs 1 mile in 577 seconds. \text{Adam runs 880 feet in 1 minute.} Adam runs 880 feet in 1 minute.

Answers

Answer:

Katie runs fastest

Step-by-step explanation:

For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)

For Tony; his speed is 12ft/s

For Katie;

Katie runs 450 feet in 30seconds;

450 feet = 30 secs

x = 1 sec

Cross multiply

30x = 450

x = 450/30

x = 15ft

Hence Katie runs 15ft/s

For Frank;

Frank ran 1 mile per 577secs

1 mile = 5280feeet

This mean that he ran 5280feet in 577 secs

5280feet = 577secs

y = 1 secs

cross multiply;

577y = 5280

y = 5280/577

y = 9.15ft/s

Hence Frank ran 9.15ft/s

For Adam;'

If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs

880 ft = 60secs

z = 1sec

Cross multiply

60z = 880

z = 880/60

z = 14.67ft/s

Hence Adam ran 14.67ft/s

From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s

10 is what percent of 625

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

1.6% hope this helps a little

Step-by-step explanation:

Grace's retirement party costs $2plus an additional $1 for each guest she invites. What is the maximum numbe of guests there can be Grace can afford to spend a total of $15 on her retirement party?

Answers

Answer:

5 people?

Step-by-step explanation:

Because if 2 dallars plus one thats 3 and she only has 15 if she wants to only spend that she onlyinvite 5 if she only has 15 bucks

PLEASE ITS DUE TONIGHT!!!! Sally rides her bike to run errands. It takes her 18 minutes at 10 mph to get to her first stop. She spends 20 minutes riding at 12 mph to get to her second stop. It then takes her 15 minutes riding at 15 mph to get home. a. Draw a speed vs. time graph for the time that Sally spent riding her bike. b. How far did she travel?

Answers

Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

To practice for an upcoming hot air balloon race,one team traveled 148 miles south to offload some packages.After that,they traveled another 132 miles north.Which of the best describes the estimate of how many miles the balloon team traveled in all.

Answers

Answer:

280 miles in all

Step-by-step explanation:

Step one:

given data

we are told that the team traveled 148miles south.

and also they traveled 132miles north.

Step two:

We are expected to solve for the total distance the team traveled

Hence total distance= 148+132= 280 miles in all

Note: the team;'s displacement is 148-138= 10miles in

Find the area of a circle with a radius of 5 feet. Round your answer to the nearest tenth. Find the area of a circle with a diameter of 56 millimeters. Round your answer to the nearest hundredth.

Answers

Case 1 :

Radius, r = 5 feet.

Area,

[tex]A=\pi r^2\\\\A = 3.14\times 5^2\ feet^2\\\\A = 78.5\ feet^2[/tex]

Case 2 :

Diameter, d = 56 mm.

So, radius, r = d/2 = 28 mm.

Area,

[tex]A = 3.14\times 28^2\ mm^2\\\\A = 2461.76\ mm^2[/tex]

Hence, this is the required solution.

A Rhombus is labeled ABCD. If the slope of AC is 1/2, what is the slope of BD?

Answers

Depending on where AC is. A rhombus is a gem shaped figure that can be folded in half. I would say BD is 1/2 as well

I hope this helps

Please help me with my homework

Answers

Answer:

$13.25

Step-by-step explanation:

Other Questions
Match the coordinates with the points on the coordinate plane. Please help me with my work Look at the student work shown below.Simplify: 6t(5s + 7).(6t)(5s) + 730st + 7Did the student correctly simplify the expression? If yes, explain the steps the student followed. If no, explain what the student did wrong and what should have been done.PLZ HELP ITS A TEST A scientist is testing a fertilizer used to make corn grow taller. The scientistadds different amounts of fertilizer to each field. He then measures the heightof the corn in each field. What is the manipulated variable in this experiment?A. The height of the cornB. The amount of fertilizer C. The number of experiment groups D. The number of pieces of corn Momentum,A ball hits a wall and reverses course. According toNewton's Third Law, which of these must be true? Select allthat apply.Choose all that applyThe wall exerts a force on the ball.The wall moves toward the ball.The wall moves away from the ball.The ball moves away from the wall.The ball exerts force on the wall.The ball moves towards the wall. giving brainly ! :) please help quickly !! The family you were born into is your family of BLANK. Use the inequality below to answer the question. 0.08 g + 0.2 < 5 Which set of values contain possible solutions for g? 10 Points! Please help! What would a sample adaptation for a plant and animal be for a persistent drought, river changing course, and air pollution? Help please ASAP Ill mark you as brainlister in a packet of skittles 27% are red and 14% are blue what percentage are not red If XYZ is equilateral and WXY is isosceles, what is the measure of WZY? PLEASE HELP!!! WILL GIVE BRAINLESTCharlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kites other diagonal?6 inches4 StartRoot 21 EndRoot inches16 StartRoot 21 EndRoot inches21 inches Plz help on question 3 Is it possible to be nationalist without becoming fascists? What are these definitions. Cattywampus, Gardyloo, Taradiddle, Snickersnee, Widdershins, Collywobbles, Gubbins. Okay so I need the steps of photosynthesis in the right order, I'm taking a test on Mgraw Hill and it is a huge emergency. Screenshot added for clarity. I ordered it from what I remember, But I'm super unsure. Fill in the blanks to complete each statement about continental drift.Continental drift was first proposed by a scientist named Alfred _____________ . He theorized that the ___________ were once one large landmass that drifted apart very slowly over a long time. The tape diagram below represents 100%.100%?What percent is represented by the shaded area?% what is the perimeter