The angle measurements in the diagram are represented by the following expressions. A=5x-5 B=3x+13

Answers

Answer 1

Answer:

Step-by-step explanation: 5x-5=3x+13--->   5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps

Answer 2

Answer:

Step-by-step explanation: 40


Related Questions

May someone answer these 4 questions for me? Find the area

Answers

6: 121.2
7: 40
8: i’m pretty sure it’s 70 but i’m not sure

Anthony bought 4 1/2 pounds of meatballs. He decided to cook 1 1/4 pounds and freeze the rest. How many pounds did he freeze

Answers

Answer:

anthony froze 3 1/4 of the meatball

Find the length side

Answers

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

The maximum value of a data set consisting of 25
positive integers is 84. A new data set consisting of 26
positive integers is created by including 96 in the
original data set. Which of the following measures
must be 12 greater for the new data set than for the
original data set?

A) the mean
B)the median
C)the range
D)the standard deviation

Answers

The correct answer is c

The new data set's range must be greater than the original data set's range. which is the correct answer would be an option (C).

What is the range of the data?

The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.

Let m be the smallest value in the original data collection.

Given that the original data set's range = 84 -m

A new data set is made up of 26 positive integers and 96 from the existing data set.

As a result, the new data set's range is 96-m.

We can now determine the difference between two ranges by subtracting them :

⇒ (96 - m) - (84 - m)

⇒ 96 - m - 84 + m

⇒ 12

As a result, the new data set's range must be greater than the original data set's range.

Hence, the correct answer would be an option (C).

To learn more about the range of the data click here:

https://brainly.com/question/20607770

#SPJ2

WILL GIVE BRAINLIEST!!!

____________________

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.

Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicholson’s potential annual salary as a nine-year veteran with the company. In your final answer, include all of the necessary calculations.

Answers

Answer:

Step-by-step explanation:1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

I'm always happy to help :)

Answer:

he is not a wealthy man

Step-by-step explanation:

because he got money

please tell me! I have no idea how to do graphs

Answers

Answer:

umm idrk

Step-by-step explanation:

who can help me with some math homework

Answers

I can help you, if it’s not too hard for me :))

Answer:

I can help you dude if any trouble (:

Are these figures congruent?
A Yes, they are congruent.
B) No, they are not congruent.

Answers

Answer:

A

Step-by-step explanation:

Yes, they are congruent. Sorry I'm new to this kind of stuff. Really sorry if it's wrong!

There are 5 marbles in a bag three are yellow 2 are blue Marcus is going to choose a marble without looking and Toss a coin what is the probability that he will pull out a yellow marble and his coin lands on tails write your answer as a fraction

Answers

Answer:

yellow

Step-by-step explanation:

HOW MANY solutions does this equation have?
d2=0

Answers

asdfghjkl asdfghjkl

Anyone know the answer to this

Answers

Answer:

20

Step-by-step explanation:

Answer:

20 sq.units

Step-by-step explanation:

Given,

Height of the parallelogram = 4 units

Base of the parallelogram= 5 units

Therefore, area of the parallelogram = base × height

= 4 units × 5 units

= 20 square units (Ans)

Here are two similar solid toys. The ratio of surface area of toys R: surface area of toy B is 7:9. The volume of toy B is 20cm^3. Work out the volume of toy A. Give your answer to 3 significant figures 

Answers

Answer:

13.7

Step-by-step explanation:

The computation of the volume of toy A is shown below:

7 × k^2=9

k^2= 9 ÷ 7

k=√9 ÷ 7

k = 1.133893419

Now

= 20 ÷ 1.133893419³

=13.7

Karl’s and eddie’s ages added together are equal to 65. 10 years ago, Karl was twice as old as Eddie. How old are they now

Answers

9514 1404 393

Answer:

Karl is 40Eddie is 25

Step-by-step explanation:

10 years ago, the sum of their ages was 65 -2·10 = 45.

If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.

Now, Karl is 40 and Eddie is 25.

__

This can be solved using a system of equations.

  e = 65 -k

  (k -10) = 2(e -10)

Substituting the first equation into the second gives ...

  k -10 = 2((65 -k) -10)

  k -10 = 110 -2k . . . . . . . simplify

  3k = 120 . . . . . . . . . . . . add 10+2k

  k = 40

  e = 65 -40 = 25

If m∠12 = 123° and m∠6 = 76°, find each measure.

Answers

Answer:

the picture is attachedsee the answers in the attachment

If ray OC stands on line AB such that ∠AOC = ∠BOC, then find ∠BOC.

Answers

Answer:

Here OP bisect ∠BOC

∴∠POC=∠BOP …………(i)

and OQ bisect ∠AOC

∴∠AOQ=∠COQ …………….(ii)

and ∠AOB=180

o

[∵AOB is a straight line]

⇒∠BOP+∠DOC+∠COQ+∠AOQ=180

o

⇒∠POC+∠POC+∠COQ+∠COQ=180

o

[using (i) & (ii)]

⇒2∠POC+2∠COQ=480

o

⇒2(∠POC+∠COQ)=180

o

⇒2∠POQ=180

o

⇒∠POQ=90

o

.

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

b

Step-by-step explanation:

Use the portion of the periodic table shown below to answer the questions.

A portion of the first three columns of the periodic table is shown. Column one from top to bottom reads 11 sodium 22.990, 19 potassium 39.098, and 37 rubidium 85.468. Column two reads 12 magnesium 24.305, 20 calcium 40.078, and 38 strontium 87.62. Column three reads 21 scandium 44.956 and 39 yttrium 88.906.

Part 1: Name two elements that have the same properties as magnesium (Mg). (4 points)
Part 2: Determine the number of protons, electrons, and neutrons present in an atom of potassium (K). Explain how you determined your answer using complete sentences. (6 points)

Answers

Part 1:

Calcium(Ca) And Strontium (Sr)

Part 2:

Protons: 19

Electrons: 19

(both are the same)

Neutrons:20

Subtract 19 From 39 And Get 20

If You Use This Pls Put it in your own words

Also Sorry if I'm late!

Find the value of that makes DEF~XYZ

Answers

Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

Can you help with these two? Thanks!

Answers

Answer:

1. D.

2.C.

Step-by-step explanation:

If I'm right pls mark brainleist

What is the greatest common factor of 36 and 42?

Answers

Answer:

Answer is 6.

Step-by-step explanation:

What is the Greatest Common Factor of 36 and 42? Greatest common factor (GCF) of 36 and 42 is 6. We will now calculate the prime factors of 36 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 42.

I hope it's helpful!

96:120 simply To the least

Answers

Answer:

4:5

Step-by-step explanation:

96:120

simplified:

divide both sides of colon by 24:

4:5

A store pays a supplier $40.00 for a wagon. The store sells the wagon for $70.00. What is the markup rate?​

Answers

Answer:

markup 75%

Step-by-step explanation:

The difference in prices is $70-$40=$30.

So, we need to find what percentage of 40 is 30. We do this by dividing: 30/40=0.75, which is 75%. So, the markup is 75%.

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

1/3

Step-by-step explanation:

1 rise

3 run

When an inclined plane is used,
the mechanical advantage increases as the height increases.
a greater force is exerted over a shorter distance.
a negative mechanical advantage can result.
a smaller force is exerted over a longer distance.

Answers

Answer:

the mechanical advantage increases as the height increases.

Step-by-step explanation:

please answer the question above, will mark as brainliest answer​

Answers

Answer:

I think you want to the coordinates of point A

the answer is

(-1,-2)

Miss Penny inherits £1040

she decides to save some of the money and spend the rest

the ratio of savings to spending money is 5:8

how much does she save and how much does she spend

Answers

Answer:

Step-by-step explanation:

first we simplify the ratio

5:8

8/5=1.6

1:1.6 so for every 1 dollar she save she spends 1.6

next we do 1040/1.6=650

1040-650=390

390:650

i hope this helps and is the correct answer pls let me know

There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the whole pie he will eat tomorrow.

Answers

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

Can somebody help me. Will Mark brainliest.

Answers

I think the answer is 43.2 degrees

Will give 10 points
Solve X
4X=32

Answers

X would be this

x = 8

help me please i am i need of assistance

Answers

48.75 but round it so the answer is 48.8
48.8 48.8 48.8 the answer 48.7
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