An angle measures 170° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer 1

Given:

An angle measures 170° less than the measure of its supplementary angle.

To find:

The measure of each angle.

Solution:

Let x be the measure of supplementary angle.

Then, the measure of the angle is (x-170°).

Sum of supplementary angles is 180 degrees. So,

[tex]x+(x-170^\circ)=180^\circ[/tex]

[tex]2x-170^\circ=180^\circ[/tex]

[tex]2x=180^\circ+170^\circ[/tex]

[tex]2x=350^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{350^\circ}{2}[/tex]

[tex]x=175^\circ[/tex]

Now, the measure of the angle is

[tex]175^\circ-170^\circ=5^\circ[/tex]

Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.

Answer 2

Answer:

175 , 5

Step-by-step explanation:


Related Questions

What is the value of z?
Z =

Answers

Answer:

Step-by-step explanation:

There is know question please update it.

hshsswwwssswww

Step-by-step explanation:

Diego bought 4 boxes of cookies to thank his coaches at the end of the season. Each box had the same number of cookies. A friend brought 1 cookie to add to each box. Now there were 28 cookies in all. What is the unknown amount in the story?

Answers

Answer:

there are 24 cookies in the 4 boxes

there are 6 cookies in each box

Step-by-step explanation:

Let x = number of cookies in each box

If there are 4 boxes, the total number of cookies in the four boxes are 4x

If a friend brought 1 cookie to add to each box, the friend brought a total of 4 cookies

4x + 4 = 28

Solving for x

4x = 28 - 4

4x = 24

x = 6

Each box contains 6 cookies and there are 24 cookies in 4 boxes

Solving Square root and other radical equations

Answers

Answer: How to answer radical questions and such:

The most basic is to isolate one of the square roots, square both sides, and this will usually yield less square roots than when you started with. Keep repeating until you have no more square roots. This works pretty well in most cases, there are sometimes some tricks, arising from the particular problems themselves ways, which allow you to solve the equations much faster

The solving methods for Square root and radical equations are given below.

What is a radical equation?

An equation wherein a variable is withinside the radicand of a thorough expression is referred to as a thorough equation. As usual, whilst fixing those equations, what we do to at least one aspect of an equation we ought to do to the alternative aspect as well. Once we isolate the radical, our approach could be to elevate each facet of the equation to the strength of the index. This will remove the radical.

To asked how to solve Square root and the radical equation

For Square root:

There are many methods for solving a square root such as

Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division Method

Here we will learn solving Square root using the Long method

Long division method

Separate your square root base into pairs. Find the largest square that divides into the first number or pair. Subtract the square from the first number or pair. Drop down the next pair.Multiply the first digit of the square by twoSet up the next factor equation.

For radical equation:

There are many types of radical equations such as

Equation with one radicalEquation with two radicalsEquation with three radicals

And so on,

the best way to solve radical equations is:

Isolate one of the radical terms on one side of the equation.Raise both sides of the equation to the power of the index.Are there any more radicals?If yes, repeat Step 1 and Step 2 again.If no, solve the new equation.Check the answer in the original equation.

Learn more about radical equations here:

https://brainly.com/question/9370639

#SPJ2

what are the coefficients in the expression 4x+y+6z+12

Answers

Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

I. find the distance the two given points​

Answers

Answer:

Step-by-step explanation:

Use the formula,

distance = √[(x1-x2)^2 + (y1-y2)^2]

If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

Answers

Answer:

$57.51

Step-by-step explanation:

If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

The formula for the original price =

= Sales price/1 - Percentage discount

Percentage discount = 35% = 0.35

Original price = $37.38/1 - 0.35

= $37.38/0.65

= $57.507692308

Approximately = $57.51

Therefore, the original price H= $57.51

(x⁵+x⁴-x³-5x+4)÷(x+ 2)​

Answers

Answer:

[tex](x^4 - x^3 + x^2 +2x -1) \times (x + 2) + 6[/tex]

Step-by-step explanation:

(see image)

Find the slope for the points (5,7) and (8,4)

Answers

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-7)/(8-5)

m=-3/3

m=-1

Answer:

m = -1

Step-by-step explanation:

m represents the slope.

16:25 simplified (ratio)

Answers

Answer:

its already simplified the most but as a decimal its 0.64

Step-by-step explanation:

you cant simplify it anymore

l

The function P(1) - 5,000(1.098)' models the value, in dollars, of a painting after t years. What is the initial value of the painting?

Answers

Answer:

the answer is $5,000

Step-by-step explanation:

the question is asking what the initial value of the painting is and in the equation, they are trying to find out how much the painting will cost after t years. the 1.098 is how much the painting decreases each year and it is being multiplied by &5000 so $5000 is the original value of the painting.

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is ?

Answers

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?

Answer:

7 blue marbles

Step-by-step explanation:

15 blue

5 red

11 green

Total = 31

Number of Blue marbles that must be removed to obtain a probability of :

P(blue) = 1/3

Probability = required outcome / Total possible outcomes

Let number of blue marble to be removed = x

Number of Blue becomes : 15 - x

Total becomes : 31 - x

P(blue) = 1/3

1/3 = (15 - x) / (31 - x)

1/3 * (31 - x) = 15 - x

(31 - x) / 3 = 15 - x

31 - x = 45 - 3x

-x + 3x = 45 - 31

2x = 14

x = 14 / 2

x = 7

matematikte terim nedir​

Answers

Answer: Cebirsel ifadede bulunan birden fazla değişken çarpımına veya 1 tane bilinen 2 tane bilinmeyen buna terim denir.

Step-by-step explanation:

Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25. Write this probability as a decimal. Use a word or phase to describe this probability
Pleas help I give 90 points

Answers

Answer:

First, your only giving 45

Step-by-step explanation:

Second,

Part 1:

P(yellow)  [tex]\frac{5}{25}[/tex]  as a decimal is 0.2

Part 2:

What best describes the​ probability?

A: Unlikely

someone pls factorise step by step x^2 + 5x - 24​

Answers

Answer:

this is the answer okay

Step-by-step explanation:

thisis the answer

Mrs.Browns rectangular kitchen is 10 ft wide and.16 ft long, if she creates a scale drawing.With a length of 4 inches, what would be the width

Answers

Answer:

2.5 inches

Step-by-step explanation:

1 feet = 12 inches

The length is 16 ft x 12 = 192 inches

The length was scales by an unknown measure which i would represent with x . The equation is as follows

192 inches x a = 4 feet

a = 48

The kitchen was scaled by 48

10 x 12 = 120 inches

120/48 = 2.5 inches

Can I get some help on this pls

Answers

Answer:

GCF=1  

Add=13

Multiply=30

Step-by-step explanation:

GCF:

   Factors of Ten= 10, 5, 2, 1

   Factors of Three= 3, 1

   Common factors = 1

Add:

   10+3 = 13

Multiply:

   10x3 = 30

There are 171 South American animals in a zoo. That is 40 more than half the number of African animals in
the zoo. Enter an equation you could use to find n, the number of African animals in the zoo.

Answers

171-40=131
131x2=262 African Animals

A cell phone company recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June's

sales. If y represents July's sales, which equation can be used to determine the sales in July?

0 A y = n - 0,26n

OB y = n - 0.26

0 C. y = n + 0,26n

OD. n = y-0.26

22

Answers

Answer:

Option A. is correct.

Step-by-step explanation:

Given: A cell phone company recently noticed a [tex]26\%[/tex] sales decrease in the month of July compared to June such that [tex]n[/tex] represent June's  sales.

Also, [tex]y[/tex] represents July's sales.

To find: equation that can be used to determine the sales in July

Solution:

June's sales [tex]=n[/tex]

Decrease in sales [tex]=\frac{26}{100}n=0.26n[/tex]

So,

July's sales [tex]=n-0.26n[/tex]

Also,

July's sales [tex]=y[/tex]

Therefore,

[tex]y=n-0.26n[/tex]

So, option A. is correct.

4x – 8 = 32
How do I solve this

Answers

Answer:4

x

+

8

=

32

Step-by-step explanation:Isolate for

x

. Start by subtracting

8

from both sides of the equation.

4

x

+

8

8

=

32

8

4

x

=

24

Divide both sides of the equation by

4

.

4

x

4

=

24

4

x

=

6

Answer:

10

Step-by-step explanation:

4x-8=32

4x=32+8

4x=40

x=40/4

x=10

2. Emma knows that her mix of 5 cups of orange juice to 2 cups of ginger
ale will create enough drink for 7 people. If she is looking to create
enough drinks for 28 people, how many cups of orange juice will she
need? *

Answers

Answer:

11 1 /2 ( 11 and a half)

Step-by-step explanation:

If you noticed 7 and 2 are five numbers away.

To solve this I just added one to both of them until the sum was equal to 28.

If I had added one to 16 and 11, it would have given me 29, so I added a half.

That gave me 28.

Please help me guys

Answers

2nd one its like one big right angle so must add to 90
So (x+9)+2x=90
(x+9) + 2x = 90
Explanation: (x+9) and 2x are two angles inside the 90 degree angle. Therefore if they are added together they will make the 90 degrees.

WILL GIVE BRAINILEST

The price of ground beef varies directly with the weight of the ground beef purchased. Two pounds of ground beef cost $10.

What is the cost of 3 pounds of ground beef?

Answers

15, 1 ground beef cost $5
The price of 3 pounds would be $15

30 times 6 divided bye 8

Answers

Answer:

22.5 hope i helped you out

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

I used a calculator:))))hope it helped:))))))

5/6x8/9 as an improper fraction

Answers

Answer:

[tex] \frac{20}{27} [/tex]

Step-by-step explanation:

this can not be converted into a improper fraction

consider downloading photomath

Enter the number that belongs in the green box

Answers

Answer:

x = 7

Step-by-step explanation:

All sides are equal therefore its 7

Hope this helps!! ♥︎

x = 7

7 because the measurement of all side are congruent


Which shows an explicit formula for a sequence whose first term is 8 and
whose common difference is 7?

Answers

Answer:

7n + 1

Step-by-step explanation:

the general formula for figuring out the formula of a sequence is a + (n - 1)d, where a = the first term and d = the common difference

The question tells u that the first term is 8 and the common difference is 7

Knowing this, you can substitute those values into the formula and simplify:

a + (n - 1)d

= 8 + (n - 1)*7

= 8 + (7n -7)

= 8 + 7n - 7

= 7n - 7 + 8

= 7n + 1

and there's your explicit formula! hope this helped!

y=-4x-3
y=-2x+1


help

Answers

Answer:

x=−y+

−1/2

Step-by-step explanation:

Let's solve for x.

y−4x−3y=−2x+1

Step 1: Add 2x to both sides.

−4x−2y+2x=−2x+1+2x

−2x−2y=1

Step 2: Add 2y to both sides.

−2x−2y+2y=1+2y

−2x=2y+1

Step 3: Divide both sides by -2.

−2x

−2

=

2y+1

−2

x=−y+

−1/2

8. The city commission would like to install new flagpoles that are each
45 feet tall. How tall are the flagpoles in the model?

Answers

Answer:5

Step-by-step explanation:

Write an expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction

I need this ASAP please I’ll make it 20 points

Answers

-1 3/4 + 7 3/4 + 3 5/6

Does anyone know this. Please help.

Answers

Answer:119

I'm new so don't just take my answer

Step-by-step explanation:

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