In Triangle A B C, what is the value of x? Triangle A B C. Angle A is 112 degrees. Exterior angle to angle B is 2 x degrees and the exterior angle to angle C is (2 x + 12) degrees.

Answers

Answer 1

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

Answer 2

Answer:

70º

Step-by-step explanation:

i took the test


Related Questions

Use the discriminant to determine the number of real solutions of the equation.
x^2 = -6x - 10

Answers

Answer:

No real solutions.

Step-by-step explanation:

x² + 6x + 10 = 0

a = 1

b = 6

c = 10

D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4

- 4 < 0,

so this equation has no real solutions.

The discriminators is b^2-4ac

How many degrees does a quadrilateral have?

Answers

Answer:

A quadrilateral has 360 degrees.

Step-by-step explanation:

Irina wants to tile her floor using the translation shown
below. Which is the rule for this translation?
6
O T-3, 2(x, y)
O T2, -3(x, y)
O T3, 2(x, y)
OT-2,3(x, y)
B
5 6
X
-6
D
IB
B
C

Answers

The translation rule of the tile floor is T -3,2 (x,y)

How to determine the translation rule?

From the complete question, the tile floor is shifted left by 3 units, and shifted up by 2 units.

This is represented as:

(x,y) -> (x - 3, y + 2)

This can also be written as:

T -3,2 (x,y)

Hence, the translation rule is T -3,2 (x,y)

Read more about translation at:

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Answer:

A: T-3, 2(x, y)

Step-by-step explanation:

Math question please help me this is hard

Answers

Answer:

i think its 4

Step-by-step explanation:

if u have two fingers and add two more u get 4

Solve using distributive property. (3x2-2x+7)(x2+2x) Thank you!

Answers

Answer:

[tex]3x^4+4x^3+3x^2+14x[/tex]

Step-by-step explanation:

[tex](3x^2-2x+7)(x^2+2x)[/tex]

[tex]3x^4+6x^3-2x^3-4x^2+7x^2+14x[/tex]

[tex]=3x^4+4x^3+3x^2+14x[/tex]

Answer:

3x^4+4x^3-3x^2+14x

Step-by-step explanation:

(3x^2-2x+7)(x^2+2x)

= 3x^2(x^2+2x)-2x(x^2+2x)+7(x^2+2x)

= 3x^4+4x^3-3x^2+14x

The accepted density of copper is 8.96 g/cm3. A lab team measured the density of a copper sample in a lab and calculated a density of 8.40 g/cm3. Part A: Which expression calculates the percent error for the calculated density of copper? Part B: What is the percent error? Select two answers: one for Part A and one for Part B. Answer Choices: B: 4.84% B: 6.51% A: 8.40|8.4+8.96|⋅100 B: 6.67% A: |8.40|8.96⋅100 A: |8.40−8.96|8.96⋅100 B: 2.33% A: |8.40−8.96|8.40⋅100

Answers

Answer:

A: [|8.40−8.96|/8.96]⋅100,

B. 6.25%

Step-by-step explanation:

A.

% error =[ | calculate density - accepted density|/ accepted density]*100%

A: [|8.40−8.96|/8.96]⋅100

B.  |8.40−8.96|/8.96⋅100 = 6.25%

Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?

Answers

Answer:

Gordon: 16 pounds

Henry: 24 pounds

Sarah: 8 pounds

Step-by-step explanation:

Number of parts: 3+2+1 = 6

Amount per part: 48/6 = 8

Now Each person gets:

Gordon: 8 x 2 =  16 pounds

Henry: 8 x 3 = 24 pounds

Sarah:8 x 1= 8 pounds

Hope this helps.

Good Luck

Answer:

Gordon $16

Henry$24

Sarah$8

Step-by-step explanation:

You add the ratio 2+3+1= 6

Then you take everyone ratio according to how their names are arranged over 6 then you get the answer

Gordon2/6×48= 16

Henry3/6×48= 24

Sarah1/6×48= 8

Sidney is eating lunch at a salad bar where you
create your own salad. An 8-ounce salad costs
$2.49. Each additional ounce of salad costs
$0.25. How much does Sidney’s salad cost if it
weighs 1 pound, 8 ounces?

Answers

Answer:

$7.47

Step-by-step explanation:

Since a 8-ounce salad cost 2.49

You do 2.49+1 pound times 0.25

1 pound equals to 16 ounces

2.49 + 2.49 + 2.49

Correct. If I am wrong

Answer:

Step-by-step explanation:

the base is 2.49 for eight ozs so you already take off the ozs from 1 pound

since there are 16 ounces in one pound you multiply 16 by .25 and get 4 so you add 2.49 and 4 to get 6.49$ is the answer assuming there is no tax on the food

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

Answers

Step-by-step explanation:

Mia runs about 1.8 miles in 20 minutes. Divide by 20 to see how much she runs in a minute. You would her 0.09 which means she runs 0.09 miles a minute.

Answer:

0.09 miles per min

Step-by-step explanation:

Solve for t.

–17t = –9(3t + 17) − 7

t =

Answers

Answer:

t = -16

Step-by-step explanation:

→Distribute the -9 to (3t + 17):

-17t = -9(3t + 17) - 7

-17t = -27t - 153 - 7

→Add like terms:

-17t = -27t - 160

→Add 27t to both sides:

10t = -160

→Divide both sides by 10:

t = -16

Answer:

[tex] \boxed{t = - 16} [/tex]

Step-by-step explanation:

[tex] = > - 17t = - 9(3t + 17) - 7 \\ \\ = > - 17t = - (9 \times 3t) - (9 \times 17) - 7 \\ \\ = > - 17t = - 27t - 153 - 7 \\ \\ = > - 17t = - 27t - 160 \\ \\ = > - 17t + 27t = - 160 \\ \\ = > 10t = - 160 \\ \\ = > t = - \frac{160}{10} \\ \\ = > t = - 16[/tex]

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees. What is the measure of angle COA? 140° 150° 160° 170°

Answers

Answer:

Its 160 on ED

Step-by-step explanation:

Based on the angle-arc relationship, the measure of angle COA is: C. 160°.

What is the Angle-Arc Relationship?

The angle-arc relationship relates the measure of an inscribed angle to its central angle, such that the central angle is twice the measure of the intercepted arc.

Given:

m∠CBA = 80° (intercepted arc)m∠COA = ?° (central angle)

Therefore:

m∠COA = 2(m∠CBA)

Substitute

m∠COA = 2(80°)

m∠COA = 160°

Therefore, based on the angle-arc relationship, the measure of angle COA is: C. 160°.

Learn more about angle-arc relationship on:

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You roll a fair 6-sided die what is the probability of rolling a number grader than 4?

Answers

Answer:

2/6 or 1/3

Step-by-step explanation:

5, and 6 is greater than 4 if the total is 6 then its 2/6 since there are only two numbers that are greater than 4

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

There are 2 numbers on the dice greater than 4. 5 and 6.

[tex]\frac{6-4}{6}[/tex]

[tex]\frac{2}{6}[/tex] [tex]= 1/3[/tex]

look at the picture below please

Answers

Answer:

1.73205080757 4.58257569496 7.87400787401

i dont understand and i would like some help understanding this -4(y-6) ≤ (-9+y)(-2)

Answers

Answer:

Y greater than or equal to 6

Step-by-step explanation:

I can't do the sign so I just said it

Combine like terms

Answer:

Y Greater Than Or Equal To   Number 6

Hopes This Helps

What is the range of the given function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.

Answers

Answer:

Step-by-step explanation:

x= -5,1,4,6 y=9,0,-7,-1

the range of a given function equals to the value of y in order

range = -7,-1,0,9

You want the volume of the box to be 9 cubic inches.

Find the rational solution(s) of the equation. Then use polynomial long division to find the other solution(s).

What are the possible side lengths of the box?

Answers

Odyssey ware Answer: 9 = 3 x 3 x 3

Step-by-step explanation:

If the volume of the box is 9. The possible side lenths are:

V = L x W x H

9 = 3 x 3 x 3.

What I did was estimated how 9 could be split up into 3 so that it’ll make sense for L x W x H.

An American motor company is releasing a new car model. There will be 2 body styles (2 or 4 door) from which to choose. They also offer 3 interior packages (deluxe, luxury, or special edition) and an option of 2 drive trains (front-wheel or four-wheel drive). If a local dealer wanted one of each possible model on her sales lot, how many cars would she need to order?

Answers

Answer:

She needs to order 12 cars

Step-by-step explanation:

To find the total number of models, we just need to multiply the number of options for each choice:

body style: 2 options

interior package: 3 options

drive train: 2 options

So the number of different models is:

2 * 3 * 2 = 12 different models

So in order to have all the possible models, she needs to order 12 cars.

Rewrite the expression in the form k x z^n.

[tex]10 \sqrt[3]{z} \div {2z}^{2} [/tex]

Answers

Answer: 5z^(-5/3)

Step-by-step explanation:

Given the expression above, rewrite in the form k × z^n

(10 × (z)^1/3) ÷ 2z^2

(10z^1/3) ÷ (2z^2)

10/2(z^(1/3 - 2))

5z^(-5/3)

1. The length of a rectangle is 10. The perimeter is 28. Find the area of the rectangle.


PLZZ ANSWER!

Answers

Hope it helps
Mark me the brainliest

The right answer is 40

please see the attached picture for full solution

Hope it helps

Good luck on your assignment......

Assignment
Active
Relating a Real-World Situation to a Table
Which table represents the relationship "A 747 jumbo jet has a cruising speed of 550 miles per hour"?
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
550
1
1
551
1
550
2
552
1,100
2
1.100
2.
1,650
3
3
3
553
1.650

Answers

Answer:

C.

Step-by-step explanation:edge2020

Answer:

i  said c yea it is

Step-by-step explanation:

Who can help me with this multiple choice problem

Answers

Answer:

the answers are E and C

27^x=1/9 find the value of x with steps

Answers

Answer:

x = -2/3

Step-by-step explanation:

27^x=1/9

writing 27 as 3^3  and 1/9 as 3 ^-2

3^3^x = 3^-2

We know that a^b^c =a^(b*c)

3^(3x) = 3^-2

Since the bases are the same the exponents need to be the same

3x = -2

x = -2/3

please help and i will give you brainliest answer

Answers

C=2πr
C= 2 x 3.142 x 7
=43.988cm

Time it with 7 because the radius is 7, because the diameter is twice the radius

Answer:

C=43.988cm

Step-by-step explanation:

r=d/2=14cm/2=7cm

C=2πr

C=2×3.142×7cm

C=6.284×7cm

C=43.988cm

Help to answer 2 & 3 Pablo and Jasmine had just started studying systems of linear equations in algebra. They looked at Pedro's drawing and said, "We could write that as a system of equations." Let t be the price of each taco and d be the price of each drink. - Write an equation that represents the cost of Pablo's order. (6T + 2D = 9) - Write an equation that represents the cost of Jasmine's order. (4T + 2D = 7) 2. What operations with the equations from part (1) match your way of using Pedro's sketch to find the prices t and d? 3. Why do the operations make sense?

Answers

Answer:

Step-by-step explanation:

The equation for Pablo's order is given as 6T+2D=9 or 6T+2D-9=0

While the equation for Jasmine's order is given as 4T+2D=7 or 4T+2D-7=0

Subtracting Jasmine's equation from Pablo's

6T+2D-9-(4T+2D-7)=0

This gives us

6T+2D-9-4T-2D+7=0

The reduces to

2T-2=0

Dividing all through by 2 gives

T-1=0

Therefore

T=1

Substituting the value for T into any of the equations of either Pablo and Jasmine

Using Pablo's

6T+2D=9

6(1)+2D=9

2D=9-6

2D=3

There D= 3/2

On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant. Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? figure A figure B figure C figure D

Answers

Answer:

Figure C    

Step-by-step explanation:

Reflection across the line y = x transforms point (x, y) into (y, x)

(3, 1) -> (1, 3)

(4, 1) -> (1, 4)

(4, 3) -> (3, 4)

(5, 3) -> (3, 5)

After rotation, all points remain in the first quadrant. Figure C is rotated in the first quadrant, then it is the correct option.

Because Figure C is rotated in the first quadrant,its represents the image of parallelogram LMNP after a reflection across the line y = x

What is a Parallelogram?

A Parallelogram is simply a four-sided quadrilateral with opposite sides parallel to each other.

What figure identifies the image of parallelogram LMNP?

Question Parameter(s):

5 parallelograms are shown

LM N P has points (3, 1), (4, 1), (4, 3), and (5, 3).

Generally, the indivudual tranformation is   is mathematically given as

Reflection gives (x, y) into (y, x)

(3, 1) -> (1, 3)

(4, 1) -> (1, 4)

(4, 3) -> (3, 4)

(5, 3) -> (3, 5)

In conclusion, Figure C represents the image

Read more about Wave

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A baker is decorating the top of a round cake with cherries. The diameter of the cake is 9.5 inches. Each cherry is 0.75 inches in diameter. About how many cherries will the baker need to decorate the circumference of the top of the cake? *

Answers

Answer:

A= 78.5 sq. in

Step-by-step explanation:

Step by step

1: A = pi * r^2

2: A = 3.14 * 25

In words.

1: Times the pi by r^2

2: The answer will come out as 3.14

3: Times the Answer that is 3.14 by 25

Answer: A= 78.5 sq. in

Hope this helps.

usain bolt ran the 2012 olympic 100-meter race in 9.63 seconds. if he runs at this rate on a road wait a speed limit of 25 miles per hour, how will his speed compare to the speed limit? justify your answer.(25 mi/hr=40,234 meter/hr)

Answers

Answer:

Usain Bolt runs about 37,383 meters an hour so he will not exceed the speed limit but will run at about 23 miles per hour.

Step-by-step explanation:

Usain Bolt runs about 37,383 meters an hour so he will not exceed the speed limit but will run at about 23 miles per hour. We get this from 3600 seconds in an hour, 3600÷9.63×100≈37383 meters an hour. 1609.344 meters in a mile. 37383÷1609.344≈23 mph

Answer:Sample Response: The speed limit is about 11.2 meters per second. Usain is running 10.38 meters per second. So he is running slower than the speed limit.

Step-by-step explanation:Need brainliest award

Simplify the expression: (12a−1b6c−3) / (4 a5b−1c5) NEED ANSWER IMMEDIATELY PLEASE

Answers

Answer:

Step-by-step explanation:

[tex]\frac{(12a - 6bc - 3)}{20ab-5c)} \\\\\frac{3 . (4a - 2bc - 1)}{5 . (4ab - c)}\\\\[/tex]

Which equation of a line has a slope of −2 and a y-intercept of (0,8)?

Answers

Answer:

y = -2x + 8

Step-by-step explanation:


Which of the following is not a true statement?

a) 4 * -3 = -8 - 4
b) 1/4 * -8 = 7 + -9
c) 3 + -7 =2 * -4
d) 8 / -2 = -10 + 6

Answers

Solve each equation to see if the left side equals the right side.

The answer would be C because when solved it becomes -4 = -8 which is false.

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How high is a stack of library books in one book is one and 3/8 in high the second book is one and 5/6 in high and the third is 2 1/3 in high explain how you solve this problem? Does anyone know how to solve this? The Polishing Department of Major Company has the following production and manufacturing cost data for September. Materials are entered at the beginning of the process. Production: Beginning inventory 1,600 units that are 100% complete as to materials and 30% complete as to conversion costs; units started during the period are 42,900; ending inventory of 5,000 units 10% complete as to conversion costs. Manufacturing costs: Beginning inventory costs, comprised of $20,000 of materials and $43,180 of conversion costs; materials costs added in Polishing during the month, $175,800; labor and overhead applied in Polishing during the month, $125,680 and $257,140, respectively. Instructions:a. compute the equivalent units of production for materials and conversion costs for the month of septemberb. compute the unit costs for materials and conversion costs for the month.c. determine the costs to be assigne to the units transfered out in the process. In the equation 52y = 104, what is the next step in the equation solving sequence? Solve for the variable.Isolate the variable using inverse operations.Combine like terms.Move all numbers without a variable. Please list all the vertices of this figure Which word best describes an effective claim in a literary analysis Suppose there are only three people in the economy: jane, harry, and bob. the individual demand for corn for each of these consumers is given in exhibit 3-1. the total quantity demanded of corn if the market price is $5 is ____. Help. Use two points on the line to find the equation of the line in,standard form How do I solve this? An NCAA study reported that the average salary of the 300 major college football coaches is $1.47 million. Using a random sample of 30 coaches and a population standard deviation of $300,000, what is the probability that the sample mean is between $1.4 million and $1.5 million per year? 2. Using examples to describe each term, differentiateamong average, instantaneous, and uniform velocity. Whats the area of the figure ? Why do most businesses fail in their first year?A. Lack of trained employees B. Lack of planningC. Poor choice of locationD. Lack of interest Which quadrant is (3,-3) in? Quadrant 3 Quadrant 4 Quadrant 1 Quadrant 2I , II, III, IV Why were early factories built near rivers?A. They needed the water for steam.B. They needed the transportation route.C. They needed the power source.D. They wanted to have water for the population. How would plant populations be affected if the populations of decomposers,such as earthworms, decreased dramatically?O A. Plant populations would flourish because they would no longer bepreyed upon by earthworms.O B. Plant populations would suffer because the soil would have feweravailable nutrients.O C. Plant populations would be unaffected by changes in theearthworm population.D. Plant populations would flourish because they would not need tocompete with the worms for nutrients.pleaseee helppppp 30 points brainliest, whats the answer? Determine the future value of the following single amounts (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1).a. 13,000 b. 18,000 c. 31,000 d. 52,000 Can someone solve this problem? what is the domain of h???????HELPPP!!!!