Find the measure of each angle in the diagram.

Find The Measure Of Each Angle In The Diagram.

Answers

Answer 1

Answer:

10y° = 130°

(4x - 22)° = 50°

(7x + 4)° = 130°

(3y + 11)° = 50°

Step-by-step explanation:

From the picture attached,

Two lines are intersecting each other at a pint making two pairs of vertical angles.

By definition, pair of vertical angles are equal in measure.

10y° = (7x + 4)° [Vertical angles]

-7x + 10y = 4 -----(1)

(3y + 11)° = (4x - 22)° [Vertical angles]

-4x + 3y = -33 ------(2)

[Equation (1) × 3] - [Equation (2) × 10]

(-21x + 30y) - (-40x + 30y) = 12 + 330

-21x + 40x = 342

19x = 342

x = [tex]\frac{342}{19}=18[/tex]

From equation (1),

-7(18) + 10y = 4

-126 + 10y = 4

10y = 130

y = 13

Therefore, 10y° = 130°

(4x - 22)° = 50°

(7x + 4)° = 130°

(3y + 11)° = 50°


Related Questions

If 1/5 of a pizza has 380 calories, how many calories are in 1/8 of that pizza?

Answers

Answer:237.5

Step-by-step explanation: 380x5=1900, 1900/8=237.5

The required calories in 1/8 of a pizza is 237.5 calories.

Given that, 1/5th of a pizza has 380 calories.  To calculate calories in 1/8 of  the pizza by using concept of proportion.

Let a, b, c and d be any real numbers. Consider these four number are in proportion such that a : b : : c : d.  That gives, a/b = c/d.

Let "x" represent the number of calories in 1/8 of the pizza.

By using proportion,

(1 / 5) / (1 / 8) = 380/x.

Dividing fraction is by multiplying first fraction with reciprocal of second fraction.

(1/5) × (8/1) = 380/x.

8/5 = 380/x.

By cross multiplication, gives,

8x = 380 × 5= 1900.

x = 1900/8 = 237.5.

Hence, the required calories in 1/8 of a pizza is 237.5 calories.

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answer pls , i need it now hurry

Answers

Answer:

D

Step-by-step explanation:

yw

x/2 - 1 < 5 | x = ? help please

Answers

Answer:

x<12

Step-by-step explanation:

x/2 - 1 <5

x/2 < 6

x < 12

A scale of a coffee mug in a picture is ½ in : 3 cm. Find the actual length of the 4 in. coffee mug.

Answers

Answer:

18 cm

Step-by-step explanation:

i may be wrong though because of the way you asked your question,  but I am smart so i think i got this answer correct.

What is the value of the expression below when z
6?
9z + 8

Answers

Answer: 62

Explanation: change “z” to 6. Then multiply 9 and 6 which is 54. Now you add 54 and 8 which equal 62.


Suppose that 18 inches of wire costs 54 cents.
At the same rate, how much (in cents) will 53 inches of wire cost?
cents

Answers

Answer:

162 cents

Step-by-step explanation:

18 times 3 to get 54 then do 54 times 3 is 162

9 subtracted from twice a number

Answers

Answer:

9 - X x 2

Step-by-step explanation:

nine subtracted from twice a number (X) which is written as 9 - X x 2 or 9 - 2x

Eight less than the product of a number and four.​

Answers

Answer:

4x - 8

Step-by-step explanation:

Let x be the number

"The product of a number and four" means 4x"Eight less than the product of a number and four" means 4x - 8

I hope this helps!

Answer is: 4x-8
Because 8 is “less” than the number of “four”

My TI-83 calculator was worth $75 after I owned it for 2 years. Since the new and improved TI-84 came out, the price of the calculator keeps going down. After 8 years, it is now worth only $10. Write an equation to model this situation and use it to predict when the calculator will be worth $2. Show all work.

Answers

Answer:

It will take approximately 13 years for the calculator to be $2

Step-by-step explanation:

We need to set up a depreciation equation for the cost of the calculator per year.

Let the initial cost be I, the present value be P and the depreciation percentage be r%

Thus;

P = I( 1 - r%)^t

r% is same as r/100

For the two years initially;

75 =I( 1 - r/100)^2•••••••••(i)

For the 8 years, we have the equation as

10 = I(1 - r/100)^8 ••••••••(ii)

Now, simply divide the second equation by the first directly; we have;

10/75 = (1 - r/100)^8 / (1 - r/100)^2

2/15 = (1-r/100)^6

Take the log of both sides

ln(2/15) = ln(1-r/100)^6

ln(2/15) = 6 ln (1-r/100)

-2.015 = 6 ln (1 - r/100)

divide both sides by 6

-0.34 = ln (1-r/100)

1-r/100 = e^(-0.34)

1-r/100 = 0.715

Multiply through by 100

100 - r = 71.5

r = 100-71.5

r = 28.5%

Let’s now calculate the initial value;

P = I( 1 - r/100)^t

Let’s use the two years time frame

75 = I( 1 - 28.5/100)^2

75 = I(0.715)^2

I = 75/(0.715)^2

I = 146.71 which is approximately $147

Now, the time it will take for the calculator to be $2

P = I(1-r/100)^t

2 = 147 ( 1 - r/100)^t

divide both sides by 147

0.014 = (0.715)^t

ln 0.014 = ln (0.715)^t

t ln 0.715 = ln 0.014

t = ln 0.014/ln 0.715

t = 12.72

t is approximately 13 years

Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work.

Answers

Answer:

x=6,-6

Step-by-step explanation:

-x^2=-36

x^2=36(cancel the signs) (divide 36 on both sides)

x=+-6

X=6,-6

Mr. Gardner is making 6 treat bags. He has 185 chocolate-covered raisins to share evenly among the treat bags. How many chocokate-covered raisins will be in each treat bag? How many chocolate-covered raisins will be left over?

Answers

Answer:

30 chocolate covered raisins per bag with 5 raisins left over.

Step-by-step explanation:

6 x 30 = 180

185 - 180 = 5

So that means there will be 5 remaining.

Hope that helps and have a great day!

x + (2x + 40) + (3x – 50) = 15,002

Answers

Answer:

x = 2,502

Step-by-step explanation:

x + (2x + 40) + (3x – 50) = 15,002

~Combine like terms

6x - 10 = 15,002

~Add 10 to both sides

6x = 15,012

~Divide 6 to both sides

x = 2,502

Best of Luck!

Answer:

x = 2,502

Step-by-step explanation:

x + (2x + 40) + (3x - 50) = 15,002

Combine Like Terms

6x -10 = 15,002

Add 10 on both sides of the equation

6x = 15,012

Divide both sides by 6

x = 2,502

Kevin compared the absolute values of -10 1/8, -9.25, 8 3/8 and -12.4. Which number has the smallest absolute value?

Answers

Answer:

8 3/8

Step-by-step explanation:

Absolute value is the opposite of a number, or the number in positive values. Absolute value signs are the lines you find on your computer. An absolute value equation might look like this : |-13 1/4 - 12 7/8|

The truth table represents statements p,q, and r. Which statements are true for rows A and E? Select two options

Answers

Answer:

q↔r

r↔q

Step-by-step explanation:

just did the test

Answer: q<-> q

r <->p

Step-by-step explanation:

What is the rate of change?

Answers

The answer in this problem is C

PLEASE HELP WILL CHOOSE BRAINIest.

Answers

Answer:

It would be C because the original price is 7 and they reduced the price by tow so it would be (7-2)

Step-by-step explanation:

A groundhog raided the garden and ate 10 carrots then at 2 carrots after that how many hours was the ground hog in the garden if it ate a total of 30 carrots use the equation 2c+10=30 ​

Answers

Answer:

18

Step-by-step explanation:

if there were 30 carrots at first, and 10 were gone, then 2 after that

The equation would be 30 - 10 - 2 = 18

g(x)= -1/2x + 2 with a domain (-4,2]​

Answers

ITS NOT LETTING ME TYPE thje naswer

F(x)=4x^2-1 what is the inverse

Answers

Let [tex]y = F^{-1}(x)[/tex] and [tex]F(y) = x[/tex]

[tex]4y^2 - 1 = x\\4y^2 = x + 1\\y^2 = \frac{x + 1}{4}\\y = \sqrt{\frac{x + 1}{4}}\\f^{-1} = \sqrt{\frac{x + 1}{4}}[/tex]

Given j∥k and m∠2=100° .

What is m∠5 ?

Answers

Answer:

see below

Step-by-step explanation:

since there isn't any image given,

there are two possible answers

1. m∠5 = 180 - 100

  m∠5 = 80°

2. m∠2 ≅ m∠5

8+7(2-10) show steps

Answers

Answer:

64

Step-by-step explanation:

diy

Answer:

-120

Step-by-step explanation:

Parentheses first: 2-10= (-8)

Then Add: 8+7=15

Then Multiply: 15 x (-8) = (-120)

please helpppppppppp me

Answers

Your answer is

0.0000005


It’s just like you have to move 7 decimals backwards from 5

Select the word that means a refusal to buy or use something in order to bring about change.


In the 1960s, Filipino and Latino farmworkers in California went to strike against large grape growers, demanding better working conditions, better pay and union representation union head ceaser chavez led the workers on a march to the state capital, and people across the country learned about the workers because in response millions of American stopped eating non-onion grapes eventually the growers agreed to the workers demand the combination of the farmworkers protest and the great of boycott had proven effective

Answers

Answer:

the word is boycott

Step-by-step explanation:

A boycott means to purposely refuse to use or buy a product. It is to intentionally cause a form of absenteeism in dealing with a person,a company, an organization or the government. Boycots are usually a form of protests for social, moral or political causes.it has proven overtime to be a ver useful way of protest.

from the question Chavez had led workers on a protest against grape growers. And as a way of seeing that their demands are met, people stopped eating grapes (this is a boycott).

Answer:

Farmers from diverse groups worked together for change.

Step-by-step explanation:

i know the test.

what is i^85 HELP
PLEASE!!!!!!!!!!!!!

Answers

Answer:

the answer to your question is b

The value of the given expression is i. Therefore, the correct answer is option B.

The given expression is i⁸⁵.

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Here, i⁸⁵ can be written as i⁸⁵=i⁸⁴×i

= (i²)⁴⁸×i

= (-1)⁴⁸×i

= 1×i

= i

Therefore, the correct answer is option B.

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56,234,567, as a single digit times a power of ten

Answers

Answer:

5.6235567 * [tex]10^{7}[/tex] as scientific notation

A  single digit times a power of ten is called a scientific notation.

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

5.6234567 x 10 to the seventh power (10*7)
Explanation:

by using scientific notation you move the decimal point to the left 7 times which makes it a single digit and the exponent to ten as 7

The prime factorization of a number is . Which statement is true about the factors of the number? Twenty-one is a factor of the number because both 3 and 7 are prime factors. Twenty-one is not a factor of the number because 21 is not prime. Ninety is a factor of the number because and 90 is divisible by 9. Ninety is not a factor of the number because 90 is not divisible by 7.

Answers

Answer & Step-by-step explanation:

Factors of a number are the number(s) whose product ie multiplication gives the number. Prime factorisation is finding 'prime' factors of numbers, ie the numbers which dont have a factor further - other than themselves & 1.

Example : 6 = 2 x 3, so 2 & 3 are factors of 6. Also, 2 & 3 are prime factors, as they dont have further multiplication factors, other than themselves (2 & 3 respectively) & 1. So this can be an illustrative case of prime factorisation of 6.

Answer:

Answer:

Twenty-one is a factor of the number because both 3 and 7 are prime factors.

Step-by-step explanation:

Given number is,

3^2\times 5^3\times 73

2

×5

3

×7

=3\times 3\times 5\times 5\times 5\times 7=3×3×5×5×5×7

Where, 3, 5 and 7 are prime numbers ( only divisible by 1 and itself ),

⇒ Both 3 and 7 are prime factors of the given number,

⇒ 21 is a factor of the given number.

Thus, first option is correct.

⇒ Second option is incorrect.

Now, 5 is factor of the given number but 2 is not,

⇒ 10 is not a factor of the given number,

⇒ 90 is not a factor of the given number,

⇒ Third option is incorrect.

Suppose 90 is divisible by 7,

⇒ 90 = 7a

Where a is any whole number,

⇒ 7=\frac{90}{a}7=

a

90

3^2\times 5^3\times 7=3^2\times 5^3\times \frac{90}{a}3

2

×5

3

×7=3

2

×5

3

×

a

90

Since, 90 could be a factor of this number, if a = 3 or 5 or their multiple,

For the other values of a, 90 can not be the factor,

Hence, there is no effect of divisibility of 90 by 7 on having 90 as a factor of the given number,

⇒ Fourth option is incorrect.

Step-by-step explanation:

−2x+2y=12


−2x+8y=−12

Answers

What do you want to be solved?

Answer:

y=0

Step-by-step explanation:

6y=0

PLEASE I NEED HELP ASAP No ROCKY

Answers

D) -4, -3

if its being reflected across the y axis, the x value changes to the opposite (from 4 to -4)

if its being reflected across the x axis the y value changes to the opposite

hope this helps!! <3

what is the total of 1230×16?

Answers

Answer:

19680 is the answer

pls mark as brainliest pls

ASAPPP HURRY UP PLSSS

Answers

Answer:

12

Step-by-step explanation:

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