∠A and ∠B are complementary angles. If m ∠A = (8x – 23)° and m
∠B= (7x – 7)º, then find the measure of ∠A.

Answers

Answer 1

Complementary angles are angles whose sum is 90 degrees.

This means that we can make an equation.

[tex](8x-23)+(7x-7)=90[/tex]

[tex]15x-30=90[/tex]

[tex]15x=120[/tex]

[tex]x=8[/tex]

Then we can plug in the value we got into the express for angle A's measure.

[tex]8(5)-23[/tex]

[tex]40-23[/tex]

[tex]17[/tex]

The measure of angle A is 17 degrees.

Hope this helps.

頑張って!


Related Questions

Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10. The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves. The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds. The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.

Answers

Answer:

options 3 and 4 are correct

Step-by-step explanation:

And form the remainder of the problem, you isolate x by just multiplying by the negative reciprocal, which is -3/2, or just dividing by the number in front off x, which is -2/3, which makes statements three and four true. so this makes this three and four options

I hope this helps you :)

-KeairaDickson

Two options namely " After adding 4 to both sides, the equation is negative two-thirds negative 2" and the statement " the equation can be solved for x using exactly one more step by multiplying  both sides by Negative three-halves."

What is a linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given here  -4-2/3x +4=-6+4

                 ⇒-2/3x = -2

                 ⇒ -2/3x ×3/2 = -2 ×3/2

                 ⇒ x = 3

Hence the final answer is 3.

Learn more about linear equations here:

https://brainly.com/question/21835898

#SPJ5

−5y ^2+5−4−4y^2+5y^2−4x^3 −1

Answers

Answer:

In simplified/simplest form and in descending order, your answer would be: -4x^3 - 4y^2. Hope this helps!  

The answer is -4y^2-4x^3

simplify the equation (2x³) (x⁴)² / 8x¹¹

Answers

Answer:

Hey there!

(2x³) (x⁴)² / 8x¹¹

2x^3(x^8)/8x^11

2x^11/8x^11

1/4

Let me know if this helps :)

What is 1.4 repeating as a percent.

Answers

Answer:

140%

Step-by-step explanation:

Move the decimal over to the right two places!

:D

Answer: 140 percent I hope this answers your question!

determine sen 0 y tan 0,si 0= 2/3 y cot 0>0

Answers

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

bob lives 5 miles south and 17 miles east of ana how far are their houses apart

Answers

Answer:

22 miles they travelled

do you know the awnser to 4(-8x+5)-(-33x-26)=

Answers

Answer:

x+46

Step-by-step explanation:

-32x+20+33x+26=

x+20+26=

x+46

Answer:

x +46

Step-by-step explanation:

4(-8x+5)-(-33x-26)=

Distribute

-32x+20 +33x +26

Combine like terms

x +46

what is -5 + (-10) = ? solve answer this problem

Answers

-5+-10 can also be written as -5-10.

An easy way to do it(this is how I solve it) is to add it like 5+10 then slappa a negative sign in front.

5+10=15

-15

hope it helps!

Solve 10-13 find each measurement

Answers

Answer:

10)17.5

11)18

12)70

13)110

Problem 10

Answer: RS = 17.5

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

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

Problem 11

Answer: QT = 18

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

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

Problem 12

Answer: angle PQR = 70 degrees

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

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

Problem 13

Answer: 110 degrees

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

determine the quotient of 1 2/3 ÷ 4/5​

Answers

Answer:

The desired quotient is 25/12.

Step-by-step explanation:

Rewrite 1 2/3 as an improper fraction:  5/3.

Then divide this 5/3 by 4/5:

 5

------ ÷ 4/5

  3

It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):

  5       5       25

----- *  ----- = ------

  3        4       12

You found hardwood flooring priced by the square foot. To find the price per square yard, you should do which of the following.

a.) Divide the price per square foot by 9
b.) Multiply the price per square foot by 3
c.) Multiply the price per square foot by 9
d.) Divide the price per square foot by 3 ​

Answers

Answer:

D. Divide the price per square foot by 3 ​

Step-by-step explanation:

1 foot = 0.333333 yard

price per square yard of the hardwood = price per square foot / 3

For instance, If the price per square foot is $900, then the price per square yard is

price per square yard of the hardwood = price per square foot / 3

= 900 / 3

= 300

price per square yard of the hardwood = $300

Layla uses 1.75 cups of sugar per batch of cookies. How many cups of sugar would she require to bake 9 batches of cookies?

Answers

Answer:

15.75 cups

Step-by-step explanation:

If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups

4+(x+5)+4+(x+5)+4=48

Answers

4+x+5+4+x+5+4=48
22+2x=48
2x=48-22
2x=26
X=13

Convert 1.9647 to a percent.

Answers

Answer:

196.47%

Step-by-step explanation:

1 is 100

So the rest just add in

1.9647 as a percent = 196.47% . Hope this helped!

A basketball court is shaped like a rectangle 20 meters long and 10 meter
wide? What is the area of the court?

Answers

Answer:

200 squared meters.

Step-by-step explanation:

Since we know the court is a rectangle, we can use the formula for the area of a rectangle:

[tex]A=lw[/tex]

Where l is the length and w is the width.

We are given that the length is 20 meters and the width is 10 meters. Substitute:

[tex]A=20(10)[/tex]

Multiply:

[tex]A=200\text{ meters}^2[/tex]

So, the area of the court is 200 squared meters.

Helpppppppppppppppp plz plz plz plz plz

Answers

Answer:

-19

Step-by-step explanation:

We know:

Samuel walks  forward 19 steps. So number is+19

We need to find:

How would he represent the opposite of this number

Answer :

Number = 19

To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.

PLSSS HELPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answers

Answer:

Step-by-step explanation:

We can form a table for the relation between muffins sold and days of the week given in the graph.

Days                    Muffins sold

Monday                       5

Tuesday                      6

Wednesday                 5

Thursday                     8

Friday                          10

Saturday                      13

Sunday                        15

This data reflects the sales of muffins are increasing continuously in the given week.

Therefore, number of muffins sold are directly proportional to the number of days of the week.


Which term has a coefficient of 1?

Answers

Answer:

Variables with no number have a coefficient of 1.

Step-by-step explanation: x is really 1x.

1 does i have done this before

Pls help solve the equation

Answers

Answer:

34 boxes

Step-by-step explanation:

Please see attached picture for full solution.

Whats the answer to 26.02 x 2.006

Answers

Answer:

52.19612

Step-by-step explanation:

hope this helps

38 + − 21 = ???????????????????????????

Answers

Answer:

17

Step-by-step explanation:

Answer:

38 - 21 = 17.

Step-by-step explanation:

because - + = - ....

Hope it helps you..

Thanks

.

Which number is rational?Which number(s) below belong to the solution set of the inequality? Check all that apply. x + 6 < 38 A. 31 B. 26 C. 88 D. 44 E. 32 F. 70

Answers

Answer:

A. 31 and B. 26

Step-by-step explanation:

In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32

Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.

Hope this helped!

evaluate the expression for the given value of the variable 9 | 9 -8x | = 2x + 3

Answers

Steps to solve:

9|9 - 8x| = 2x + 3

~Divide 9 to both sides

|9 - 8x| = 2/9x + 1/3

~Solve absolute value (part one)

|9 - 8x| = 2/9x + 1/3

-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)

-74/9x = -26/3 (Subtracted 9 to both sides)

x = 39/37 (Multiplied 37/39 to both sides)

~Solve absolute value (part two)

|9 - 8x| = -(2/9x + 1/3)

|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)

-70/9x + 9 = 11/3 (Added 2/9x to both sides)

-70/9x = -28/3 (Subtracted 9 to both sides)

x = 6/5 (Multiplied 9/-70 to both sides)

Therefore, the solutions are x = 39/37 and x = 6/5

Best of Luck!

What are the possible steps involved in solving equation shown ?
3.5 + 1.2(6.3-7x) =9.38

Answers

Answer:

x = 0.2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.5 + 1.2(6.3 - 7x) = 9.38

Step 2: Parenthesis (distribute)

3.5 + 7.56 - 8.4x = 9.38

Step 3: Combine like terms (constants)

11.06 - 8.4x = 9.38

Step 4: Subtract 11.06 on both sides

-8.4x = -1.68

Step 5: Divide both sides by -8.4

x = 0.2

23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20

Answers

Answer:

10*40

80*5

20*20

Step-by-step explanation:

20*20=400

80*5=400

10*40=400

You have $55 in your bank account, and you would like to buy a new phone for $395. You can save $5 for each hour you work. How many hours must you work to buy it?

Answers

Answer:

(At least) 68 hours

Step-by-step explanation:

So we already have $55 in our bank account.

And we earn $5 per hour.

In other words, the total amount of money in our account after working x hours is represented by the equation:

[tex]y=5x+55[/tex]

We want to buy a new phone that costs $395. To find out how many hours we need to work, substitute 395 for y. Thus:

[tex]395=5x+55[/tex]

Subtract 55 from both sides:

[tex]340=5x[/tex]

Divide both sides by 5:

[tex]x=68[/tex]

Therefore, we must work for (at least) another 68 hours in order to earn enough money to purchase the phone.

200 ones into standard form

Answers

200 I think that’s it

A designer found the area of a wall to be 5.0 square yards. What is the area of the wall in square meters?hhhshxhxhd

Answers

Step-by-step explanation:

ᑎⓄ丂  Ä ɆⓇᗪαⒹ Ⓔ   ʇ  ƬⒶ℟Å    ฿ⓇØ


pls help ASAP
Which number is missing from the prime factorization of 348?2 x ____ x 3 x 29

A. 2
B. 3
C. 5
D. 7

Answers

Answer: The answer is A. 2.

Answer:    your answer is A

Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredients
they have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.
Solve the compound inequality and select all the viable solutions.
-2 pies
2 pies
1 pie
O pies
-1 pies
-3 pies
5 pies
6 pies
4 pies
3 pies

Answers

Answer:

The solution for the inequality is -3< x <5

The viable solutions are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies

Step-by-step explanation:

The given inequalities are;

2·x - 3 < 7 and 5 - x < 8

Therefore, we have;

2·x - 3 < 7

2·x < 7 + 3

2·x < 10

x < 5

From the other inequality, we have;

5 - x < 8

-x < 8 - 5 = 3

-x < 3

-x/(-1) > 3/(-1)  

x > -3

Therefore, the solution for the inequality is given as follows;

-3< x <5

The possible values are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.

Other Questions
The definition of terrorism fluctuates according to the interests of the group defining the term.A. TrueB. False What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)? Why is this statement considered a theme and not a plot summary?Success is possible through hard work and perseverance.A. It establishes a conflict that will lead to a resolutionB. It states universal truth about lifeC. It introduces the opinion of an author D. It gives the chronological order of events in a story Determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001. Write an equation through: (-1, 2)and (0, -1) To qualify for the long jump competition in track, an athlete must jump a combined distance of more than 16 meters in 3 jumps. Juan jumped 4.76 meters, 5.428 meters, and 5.9 meters. Did Juan qualify for (meet) the competition 1. Raphael pays Better Buy $800 to for a new high-definition television (HDTV) and its installation. He's attracted by Better Buy's guarantee that he'll be happy with the new HDTV, or he'll get his money back. 2. Better Buy pays Firedog $650 to install the HDTV 3. Firedog buys hardware worth $50 from The Home Station Compute contributions to GDP, using the expenditure approach. Assume that The Home Station receives the hardware at no charge and that other costs are zero Hint: Add the amount of money spent by buyers of final goods and services Which of the following would be included in the expenditure method of calculating GDP? 1. Raphael spends $800 2. Firedog spends $50 3. Better Buy spends $650 The total contribution to GDP, measured by the expenditure method, is_________ Now use the following table to compute contributions to GDP, employing the resource cost-income approach. In particular, indicate the costs of intermediate goods and the value added at each stage of production Stage of Production The Home Station Firedog Better Buy Sale Value $50 $650 $800 Cost of Intermediate Goods Resource Cost-Income sale value value added cost of intermediate goods The contribution to GDP that you found using the expenditure approach corresponds to the sum of the ______ at each stage of production. Can someone send the golden number ? Which of the following is an example of a primary source?O A biography about George WashingtonO Atextbook about George WashingtonO An autobiography about George WashingtonO A documentary about George Washington a rectangular piece of paper 71 cm long and 10m wide . a cylinder is formed by rolling the paper along its length , find volume ?? A function f satisfies f(2)= 3 and f(3) = 5. Afunction g satisfies g(3) = 2 and g(5) = 6. What isthe value of f(g(3)) ?A.) 2B.) 3C.) 5D.) 6 Is 6.08276 an irrational number The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sciences Center. The researchers wanted to assess competence in performing clinical breast examinations. One of the baseline measurements was the number of such examinations performed. The following data give the number of breast examinations performed for this sample of 10 interns. Intern Number No. of Breast Exams Performed 1 30 2 40 3 8 4 20 5 26 6 35 7 35 8 20 9 25 10 20Source: Lorraine Dugoff, Mauritha R. Everett, Louis Vontver, and Gwyn E. Barley, "Evaluation of Pelvic and Breast Examination Skills of Interns in Obstetrics and Gynecology and Internal Medicine," American Journal of Obstetrics and Gynecology, 189 (2003), 655-658. 6.4 CONFIDENCE INTERVAL FOR THE DIFFERENCE BETWEEN TWO POPULATION MEANS 177 Construct a 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn. How can Scientific beliefs be used incorrectly to fool people into thinking they are Scientifically founded List the example(s) of irregular first person conjugation from the sentence: Salgo temprano y llego a la cafetera a las siete; compro caf y hago la tarea antes de ir a clase. Based on the point and illustration, what is the best exclamation? Odysseus List three science of kinesiology that interest you 1/2 - 1/12=???????? what are the advantages of a free market system John hypothesized that dissolving salt into water produced a chemical reaction because the salt completely disappeared in the water. He dissolved 10 grams of salt into 500 mL of pure water. After leaving the beaker in the sunlight a few days, the water completely disappeared and salt crystals were left in the bottom of the beaker. Based on this observation, John knew his hypothesis was incorrect because-