For triangle XYZ, m∠X = (7g + 12)° and the exterior angle to ∠X measures (2g + 60)°. Find the measure of ∠X and its exterior angle.

Interior angle = 49°; exterior angle = 131°
Interior angle = 131°; exterior angle = 49°
Interior angle = 96°; exterior angle = 84°
Interior angle = 84°; exterior angle = 96°

Answers

Answer 1

Step-by-step explanation:

the sum of the interior and the exterior angle must be 180°.

7g + 12 + 2g + 60 = 180

9g + 72 = 180

9g = 108

g = 12

interior angle = 7×12 + 12 = 96°

exterior angle = 2×12 + 60 = 84°


Related Questions

Mr. Killian is buying tickets for a school field trip. He buys 80 student tickets, and 15 adult tickets. The cost of a ticket for a student is $8 less than the cost of an adult ticket. He pays an additional charge of $14.75 in taxes and fees. If his total bill comes to $405, choose equation Mr. Killian can use to determine the cost of an adult ticket, x and solve it.

95x - 8 + 14.75 = 405

95(x - 8) + 14.75 = 405

15x + 80(x-8) + 14.75 = 405

2(x-8) + 80x + 14.75 = 405

Answers

Answer: The answer is option 3

Step-by-step explanation: I think this is the answer based on the info i got from the story

C I think I hope it is

i need the answer to c ‼️‼️

Answers

The answer to C is 1/3

Since part B to the question is asking what scale factor takes Figure 1 to Figure 2 and you already figured out the answer is 3, the figure from 2 to 1 would be reversed, which is 1/3.
the answer for C is 1/3

I need this answer ASAP, please!! Thanks!!

Answers

Answer:

The slope is 3

Step-by-step explanation:

Because I say so

Answer: Your answer is 6

Step-by-step explanation:

Just need help on this.

Answers

Answer:

start answer goes to: 4/9, then 0.78, then -1/8, then -2.1, then -1 2/3, then -1.82, then -3 1/2, then -1.728, finally 14.44

please help ASAP. any help would be heavily appreciated!

Answers

Answer:

Your answer would be 10/18 or in the simplist form 5/9

Answer:Your answer would be 10/18 or in the simplist form 5/9

Step-by-step explanation:

Please help, I need this answer ASAP!! Thanks!!

Answers

Answer - The slope is 1/2

answer- the slope is half

Skunks Run about 10 MPH and won’t try to outrun a predator. Instead, they will spray their attacker with a, oily mist that can travel up to 4.5 meters away. If the spray travels through the air at 3m/s then how long (time) will it take the oil to hit their target? Speed: 10pm Distance: 4.5 Meters Time: 3m/s correct me if I’m wrong, I’m in the 6th grade. The Formula is Distance Over speed. Find out how much time it’ll take for the oil to reach the target please

Answers

65.877..meters and that is the answer to this question

In this question all dimensions are in centimeters.
A solid has uniform cross section.
The cross section is a rectangle and a semicircle joined together.
Work out an expression, in cm3 for the TOTAL volume of the solid.
Give your answer in terms of π (Pi).

Answers

Answer:

Here you go lol

Step-by-step explanation:

Simplify the expression. the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths

Answers

-1 19/24j+1 5/12 is with mixed numbers.

-43/24j+17/2 if using improper fractions
-43/24j+17/2
That is one of the answers

help me, please ehtu6itiiiiiii

Answers

Answer: its ab and fe

Step-by-step explanation:

Answer:Ab and Fe
Hope this helps

HELP ME ON THIS ASAP PLEASE

Answers

answer

1 .  3 x 3 x 3 x 3

2 . 18 to the power of 4 (put the 4 above the 18)

3. 3 x 3 x 3 x 3

4. four cubed

1. 3 x 3 x 3 x 3
this is because it is to the power of 4 so you multiply 3 to itself 4 times (different than 3 x 4)

2. 18^4
because the 4th power is the exponent

3. 3 x 3 x 3 x 3
similar to question 1, this is called expanded form

4. four cubed
cubed is used to explain when 3 is the exponent, 2 as a exponent is squared

Pls answer I'll give brainliest!!

Answers

This one is pretty easy all you gotta do is multiply the factorial of the derivative of the x and y of any given beam of light that is facing north and at a 45 degree angle and that should be your answer


Hope this helps!
Hope this helps my guy if you can’t see it refresh I have internet troubles

Ruben and Claire are training to run a marathon in the spring. Ruben runs 16 miles over a 4-day period. Claire runs 12 miles over a 3-day period. Are they running at the same rate of speed? Respond "1" for yes or "2" for no.

Answers

1, yes

It would be that because if Ruben runs 16 miles over a 4-day period, it would mean that he ran 4 miles a day (16/4). And if Claire runs 12 miles over a 3-day period, it would mean that she also ran 4 mi per day (12/3)

Answer:

Yes, 1

Step-by-step explanation:

16/4=4

12/3=4

They both ran 4 mph each day.

cheddar cheese costs $4.25 per round. Which equation best represents y, the total cost of x pounds of cheddar cheese?

Answers

Answer:

y = 4.25x

Step-by-step explanation:

Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as

4.25 is the cost for 1 pound of Cheddar cheese

Let the cost of the equation be y as required from the question. hope this helps!

Answer:y = 4.25x

Step-by-step explanation:

Hannah's car used 5 gallons to travel 220 miles. How many miles can the car go for each gallon of gas?

Answers

1 gallon of gas = 44 miles
5 gallons 220 miles
1 gallons ?? Miles

220 /5 = 44
1 gallon of gas 44 miles

Please answer this question asap!! due soon

Answers

Answer:

Range

Step-by-step explanation:

By finding the mean (average) of the ages, it doesn't really describe the ages. The range of the boys is 10-14, and describes how old they are much better than saying that the average age of boys is 12.

The range of their ages should be used. Using the range gives more details on their ages than finding the average of all the ages does.

Debra needs to memorize words on a vocabulary list for Russian class. She has 14 words to memorize, and she is one-half done. How many words has Debra memorized so far?

Answers

Answer: it states that She has 14 words to memorize she had done 1/2 of all of it so that would leave 7 words left to do

Step-by-step explanation:

It states she has 15

please help asap i need help on this

Answers

Answer:

C

Step-by-step explanation:

if you times 2 to the number of 8  you get 234

Answer:

2*64

Step-by-step explanation:

The 3 digit is the base squared, so 64

The Lopez family at Fuzy's Tacos. The total bill was $64. They left a tip that was 15% of the bill. How much was the tip?

Answers

Answer:

$9.60

Step-by-step explanation:

To find the tip, you have to multiply it by the total bill. 15% turns into 0.15, and if you multiply that to 64, you get $9.60

Hope this helps!

Answer:

the person who answerd in front is right i did math and it did come up to $9.60

Step-by-step explanation:

Andy and Nick went to the amusement park. They each bought a sandwich, and Nick got a small drink. Andy had a $10 gift certificate to put toward the cost, and Nick paid the rest, which came to $44.50. A ticket costs $20.00, and a sandwich costs $6.50. How much does a drink cost at the amusement park?

Answers

Answer:

$1.25

Step-by-step explanation:

To do this problem, you need to note that they bought two of almost everything. You are also working backwards at first to get how much they spent total and then taking away the expenses.

The first step is finding how much money they spent total, and you can do this by adding the gift certificate to the price:

44.5 + 10 = $55.50

Now, you see that they each bought a ticket for $20 EACH. There were two tickets (one for Andy, one for Nick). So multiply 20 by 2 and subtract that from your total cost.

$55.50 - (2 * $20) =

$55.50 - $40 =

$15.5

They bought a total of TWO sandwiches at 6.50 each. So repeat these steps, subtracting from the number above (underlined)

$15.50 - ($6.50 * 2) =

$15.50 - $13 =

$2.5

They bought two drinks that totaled to be $2.50.

To find the cost of ONE drink, divide this number by 2:
$2.50/2 =

$1.25

Answer:

A drink costs $1.5 at the amusement park

Step-by-step explanation:

44.50 + 10 = 54.5

2 people         1 ticket = $20             1 sandwich = $6.5

20 × 2 = 40

6.5 × 2 = 13

40 + 13 = 53

54.5 - 53 =  1.5

write the expression as a monomial in standard form (-2x^3)^2 * (-1/4x^4)

Answers

Answer:

Squaring the first monomial: 4x^6

Multiplying that by the second monomial:

-1*x^10

So -x^10

Answer:

Step-by-step explanation:

Squaring the first monomial: 4x^6

Multiplying that by the second monomial:

-1*x^10

So -x^10

blackpink in ur area ayo any who I need help

Answers

13:19
You just turn it into mixed numbers, multiply the denominator by the whole number and add the numerator, then see if it can be reduced
13:19 u gots this fam.

Solve the equation….

Answers

The value of x after solving the linear equation is [tex]\frac{-2}{3}[/tex].

25 - 3x - 5 = 2x + 24 + x

20 - 3x = 3x + 24

20 - 6x = 24

6x = -4

x = [tex]\frac{-2}{3}[/tex]

∴ x=[tex]\frac{-2}{3}[/tex] .

The linear equation has three blanks as the constant value on the left-hand side is 25 so let's assume the constant value on the right-hand side. But after proceeding further to step 4, there is -4 on the right-hand side so the constant value on the right-hand side in step 1 will be 24 and right-hand side 25 and 5 thus the value will be -4. Now coming to the algebraic equation right-hand side has 3x so for balancing that out the left-hand side must have 3x too. Therefore, the values in the main equation must be 2, x, and 25 respectively.

Learn more about the linear equation at

https://brainly.com/question/11897796?referrer=searchResults

Answer: 25-3x-5=2x+24+x

20-3x=3x+24

20-6x=24

x -2/3

Step-by-step explanation:

A truck driver drove 150 miles in 3 hours. At that rate, how long will it take the drive to travel 500 miles?

I’m bad at math and confused. Help?

Answers

Answer:   10 hours

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

Explanation:

We'll use the values in the first sentence to find the rate or speed.

distance = rate*time

rate = distance/time

rate = (150 miles)/(3 hours)

rate = 50 miles per hour

Now we can determine the time needed to travel 500 miles

distance = rate*time

time = distance/rate

time = (500 miles)/(50 mph)

time = 10 hours

Answer: 10 hours

Step-by-step explanation:

    We can set up a proportion to solve. Let x be equal to the number of hours it takes to drive 500 miles.

[tex]\displaystyle \frac{150\;miles}{3\;hours} =\frac{500\;miles}{x\;hours}[/tex]

    Now, we will cross-multiply.

150 * x = 500 * 3

150x = 1,500

    Lastly, we will divide both sides of the equation by 150 to isolate the variable

x = 10 hours

Read more about this question here: https://brainly.com/question/23463923

(Dividing Rational Numbers MC)

Given −45.612 ÷ −0.63, find the quotient.

Answers

Answer:

72.4

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 72.4

What is (3 x 10 cubed) / (12 x 10 to the power of 6) ?

Answers

Answer: (3 x 10 cubed)= 3000 (12 x 10^6)=12000000

Step-by-step explanation:

Answer:

It would be 2.5*10 to the negative fourth power. When you put in the calculator.

Step-by-step explanation:

Use the Distributive Property to solve the equation 25−(3x+5)=2(x+8)+x.

Answers

As we use the distributive property, we’ll get the answer X = 2/3

Answer:

x = 2/3 or x = 0.666...

Step-by-step explanation:

First distribute -1 into 3x and positive 5. giving you -3x - 5. on the opposite side distribute 2 x and 8, giving you 2x+ 16. now Combine Like Terms. on the left side combine 25 and -5. on the right side combine 2x and x. the equation should look like this now 20 -3x = 3x + 16. now solve for x. to do that add 3x to both sides to remove -3x on the left side. now subtract 16 from both sides. giving you 4=6x. divide by six and x =2/3 or x= 0.666.....

You made 48 rye dinner rolls, 60 wheat dinner rolls and 84 plain dinner rolls for a family picnic. If each plate is to contain the same number of rye rolls, wheat rolls, and plain rolls, with NO leftover rolls, what is the greatest # of plates that can be made?

How many rye rolls, wheat rolls, and plain rolls are on each plate?
PLEASE HELP ME USING UPSIDE DOWN BIRTHDAY CAKE

Answers

Answer: you can make 12 plates with 4 rye rolls, 5 wheat rolls, and 7 plain rolls on each plate.

Step-by-step explanation:

48 divided by 12 = 4

60 divided  by 12 = 5

84 divided by 12 = 7

the answers are 4=rye 5=wheat 7= plain

What is the value of negative 8 divided by 5?

A. −0.4
B. −1.6
C. 0.4
D. 1.6

Answers

-1.6 is the correct answer
the answer you’re looking for -1.6 correct :)

What equation can be used to find the distance rate and time of any situation?

Answers

Answer:

d=rt

Step-by-step explanation:

distance = rate ⋅ time

Answer:

distance=rate×timed=rt

Step-by-step explanation:

For example, if your rate is 60 mph and you drive for 3 hours, you will have driven 60×3=180 miles

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