Solve for x, using the exterior angle theorem.

Solve For X, Using The Exterior Angle Theorem.

Answers

Answer 1

Answer:

x=121 degrees

Step-by-step explanation:

The extetior angle theorem states that one exterior angle is equivalent to the sum of the opposite two interior angles. So, we can say that x is the sum of the opposite two interior angles, (53 and 68), and 53+68=121.


Related Questions

Find the solutions to the quadratic. *
y = (x + 13)(x - 21)

Answers

Answer:

[tex]\huge\boxed{-13, 21}[/tex]

Step-by-step explanation:

The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.

...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.

Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.

The opposite of 13 is -13, and the opposite of -21 is 21.

Therefore, the solutions of this equation are -13 and 21.

Hope this helped!


Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,

Answers

Answer:

X = 65.

Step-by-step explanation:

The range is the greatest number - least, so we have:

X - 12 = 53

X = 53 + 12 = 65.

Answer:

I think x=65

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

PLEASE HELP ASAP! FOR BRAINLIEST

Answers

To solve for y
Equation 1-
Let’s use (f) as a exponent (point slope)

y= -11/5x + 1/5x + 1

Exact value of y is 8x/5

Using the slope intercept form
Equation 2 is

y=5/8x^2 -2x -61/8

Hope this helps
Brainliest please :)

i need help.....plz.
hopefully u can solve the problem
but i need the answer asp ​

Answers

Answer:

I believe the answer would be 4 :) hope this helps

the answer is definitely 4

I would really appreciate some help with this question. I just can't seem to get it right or I don't think that I can get it right. Please help me!

Answers

Answer:

im not so sure but i think its a,b,c

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

proportional relationships in that situation would be linear and would pass through 0,0.

A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?

A. 35

B. 42

C. 25

D. 17

E. 32

Answers

Answer:

Step-by-step explanation:

A right cylinder has a diagonal length of 37 and a total surface area of 492.

What is the height of the cylinder?

A. 35

B. 42

C. 25

D. 17

E. 32

Absolute value is basically:


A. A number's distance from 0 on a number line


B. The greatest number on a number line

Answers

Answer:

A because absolute value doesn't change the actual value of the number, just makes it positive no matter what, but it's still the same distance from 0, just in the opposite direction.

Step-by-step explanation:

Answer:

A : a number distance form 0n the number line

Step-by-step explanation:

ex: if you want to find the absolute value of -4 you would look at the distance from zero so it would be 4 from zero so the absolute of -4 is 4

What is the vertex of the function defined as
g(x) = f(x – 5) + 3?

Answers

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5

PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.

Answers

Answer:

y = 2x-4

all the equations are the same as the slope-intercept form is the same for all the equations

Step-by-step explanation:

slope-intercept form:

[tex]y = mx + b[/tex]

2x-3 = y+1

i) move y to the left-hand side and change its sign

-y+2x-3 = 1

ii) move 2x-3 to the right-hand side and change its sign

-y = 1-2x+3

iii) add the numbers

-y = (1+3)-2x

-y = 4-2x

iv) change the signs on both sides of the equation

y = -4+2x

v) use the commutative property to reorder the terms

( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )

y = 2x-4

how many feet are in 2 miles 300 feet?

Answers

I believe the answer would be 10,860 my friend :) good luck with your problem, and have a great day

PLEASE HELP WILL GIVE 30 POINTS

The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?

I already did part A I just need help on part B

The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5

Answers

he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation:

PLEASE HELP ME ASAP
The m

Answers

I could probably help you but what is the question?

Help please thanks looks at pic attached

Answers

Answer:

m || n only when the corresponding angles will be equal.

Step-by-step explanation:

Here its only given that vertical angles are equal. But it doesn't prove m || n . If the corresponding angles wouls have been equal , then only we can prove that m || n.

Triangle ABC Triangle DFE. What is the measure of Angle E in degrees?

Answers

Answer:

Angle E is 30⁰

Explanation:

If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E

Making Angle E: 30⁰

PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?


10 HOURS

40 HOURS

50 HOURS

90 HOURS

Answers

Answer:

40 hours

Step-by-step explanation:

first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours

Larry bought a lawn ornament that was marked down 60% from an original price of $75. If he paid 10% sales tax, what was the total cost of the lawn ornament?

Answers

Answer:

$33

Step-by-step explanation:

Hope this helps!

A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?

Answers

Answer:

15 feet

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

a and b represents the legs of the triangle

c represents the hypotenuse (which is the chain)

Answer: 15ft chain length

Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom

12^2+9^2=c^2

225=c^2

15=c

Find the difference 0.2 - 0.05 =

Answers

Answer:

0.2-0.05=0.15

Step-by-step explanation:

0.2=0.20

0.20-0.05=0.15

The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.

To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:

0.2 - 0.05 = 0.15

The difference between 0.2 and 0.05 is 0.15.

When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.

Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.

Therefore, the difference in the tenth place is 0.

Since there are no other place values to subtract, the resulting difference is 0.15.

Learn more about subtraction here:

https://brainly.com/question/1927340

#SPJ6

Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

line AB
line CD
line FG
line HJ

Answers

Answer:

[tex]\displaystyle line\:HJ[/tex]

Step-by-step explanation:

[tex]\displaystyle y = 3x + 3[/tex]

The descryption gives you the above Slope-Intercept Equation. Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], therefore [tex]\displaystyle 3[/tex] remains as is, and perfourming [tex]\displaystyle \frac{rise}{run},[/tex] will give you that answer.

I am joyous to assist you at any time.

Answer:

D: line HJ

Step-by-step explanation:

Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?

Answers

Answer:

819

Step-by-step explanation:

We solve the above question using simple interest

The formula for the total amount in a bank amount when it earn simple interest annually is:

A = P(1 + rt)

When

P = Initial amount in the account = 780

r = Simple Interest rate = 2.5% = 0.025

t = 2 years

A = 780(1 + 0.025 × 2)

A = 780(1 + 0.050)

A = 780(1 .050)

A = 819.00

The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.

Find the missing value
7/8 = x/28.8
WITH WORK

Answers

Answer:

[tex]\displaystyle x = 25.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7}{8} = \frac{x}{28.8}[/tex]

Step 2: Solve for x

Cross-multiply:                    [tex]\displaystyle 201.6 = 8x[/tex]Isolate x term:                     [tex]\displaystyle 25.2 = x[/tex]Rewrite:                               [tex]\displaystyle x = 25.2[/tex]

9 ⅚ + 1 ¼ + ___________ = 14

Answers

Answer:

14

reeaADADSDDSSA

Step-by-step explanation:

[answer 1 11/12 or 2.917]

1. 9 5/6 + 1 1/4 =  11 1/12

2. 14 - 11 1/12 = 35/12 then you smiplfy to get  1 11/12 or 2.917

Find the value of x.
34
х
30
x =

Answers

Answer:

If you're multiplying them: 34x * 30x = 1020x^2

If you're adding them: 34x + 30x = 64x

If you're subtracting them: 34x - 30x = 4x

Step-by-step explanation:

A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes

Answers

Given :

A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.

They want to markup their prices for the customers by 30%.

To Find :

How much would the customer pay for a pair of Nikes.

Solution :

C.P = $70 .

It is given that selling price is 30% more than the S.P.

So, S.P = C.P + C.P×0.30

S.P = C.P×1.30

S.P = 70×1.30

S.P = $91.

Therefore, the customer would pay $91 for a pair.

Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?

Answers

Answer:

Number of registered voters is less then the votes counted.

Step-by-step explanation:

From the question it is given that

total numbers of votes counted = v = 273600

percent of voters cast = 60% = 0.60

Let r be the total number of registered voters then

number of counted votes = percent of votes count x total numbers of registered voters

⇒p = 0.60 x r

273600 = 0.60 x r

⇒ r = 456000

thus, total numbers of registered voters is 456000

since, total numbers of voters > the numbers of registered voters

Therefore, the Number of registered voters is less then the appear on voting day.

Please i really need help​

Answers

Port george i believe is the right answer

HELP WILL MARK BRANNIEST!

Answers

Answer:

up all the way right all the way down allthe way

Step-by-step explanation:

Gabriella went shopping for a new video game. The listed price of the video game was $47, but the price with tax came to $51.23. Find the percent sales tax.

Answers

Answer:

The anser is 9

Step-by-step explanation:

Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

Pls help?!?!?! 10 points

Answers

Answer:

I solved it for u!

Hope ot helps!!!

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