1. The measures of two angles are (5x + 24) and (9x - 17). What is the value of xif these
angles are congruent?

Answers

Answer 1

Answer:

x = 41/4

Step-by-step explanation:

If the angles are congruent, then the equation are congruent.

Step 1: Set up equation

5x + 24 = 9x - 17

Step 2: Solve for x

24 = 4x - 1741 = 4xx = 41/4

Related Questions

Compare using < > =

2/7 ___ 3/5

Answers

Answer:

2/7 < 3/5

Step-by-step explanation:

2/7 is smaller than 3/5 so you would answer <

pleaseee help meeee 42 + 1 x 4

Answers

Answer:

46

Step-by-step explanation:

4 x 1=4 then 42+4=46

How do we find a common denominator

Answers

Answer:

It is very easy. Most of the time all you have to do is multiply the two denominators by each other, then multiply the numerators by the opposite numerator.

step-by-step explanation:

For example, if you have 1/3 and 1/4. The common denominator of both is 12, because 4 times 3 = 12. Then you have to multiply the numerators, so it would look like this in the end: 4/12 and 3/12. 4/12 when simplified is 1/3, and 3/12 when simplified is 1/4.

What is the value of the expression 4 3/4 (−11.5) ?
A. 46 3/4
B. -54 5/8
C. 46 3/4
D. 54 5/8

Answers

Answer:

-54.625 or -54 5/8

Step-by-step explanation:

4[tex]\frac{3}{4}[/tex] (-11.5) = -54.625 or -54 5-8

Partition segment MR into a 2:1 ratio with point L. What are the coordinates of L?

M-(-2,-3)
R-(7,9)

Answers

Answer:

The coordinates of L are (4,5)

Step-by-step explanation:

Partition

Given the points M(-2,-3) R(7,9), we must find a point L(x,y) such that the distance from M to L is double the distance from L to R. This means:

[tex]\overline{ML}=2.\overline{LR}[/tex]

We'll apply that relation on both axes separately:

[tex]x_M-x=2(x-x_R)[/tex]

[tex]-2-x=2(x-7)[/tex]

Operating:

[tex]-2-x=2x-14[/tex]

Joining like terms:

[tex]3x=12[/tex]

Solving:

[tex]x= 12/3=4[/tex]

Now for the y-axis:

[tex]y_M-y=2(y-y_R)[/tex]

[tex]-3-y=2(y-9)[/tex]

Operating

[tex]-3-y=2y-18[/tex]

Joining like terms:

[tex]3y=15[/tex]

Solving

[tex]y=15/3=5[/tex]

Thus the coordinates of L are (4,5)

A rectangular prism has dimensions of 2 cm by 2cm by 5 cm. What is its surface area?

Answers

Answer: 48

Step-by-step explanation: surface area = 2 (lw + hl + hw)

2 ( 2 x2 + 5x2 + 5x2)

2 (4+10+10)

2(24)

48 cm

The surface area of the rectangular prism with dimensions [tex]2[/tex] cm by [tex]2[/tex]cm by [tex]5[/tex] cm is [tex]48 cm^2.[/tex]

The surface area of a rectangular prism is [tex]2(lw+wh+lh)[/tex], where [tex]l[/tex] is length, [tex]w[/tex] is width, and [tex]h[/tex] is height.

A rectangular prism has dimensions of [tex]2[/tex] cm by [tex]2[/tex] cm by [tex]5[/tex] cm.

Let [tex]l=2[/tex] cm, [tex]w=2[/tex] cm and [tex]h=5[/tex] cm.

So, surface area [tex]= 2(lw+wh+lh)[/tex]

[tex]= 2 (2 \times 2 + 2 \times 5 + 2 \times 5)[/tex]

[tex]= 2 (4 + 10 + 10)[/tex]

[tex]= 2 (24)[/tex]

[tex]= 48 cm^2.[/tex]

So, the surface area of the rectangular prism is [tex]48 cm^2[/tex].

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20 Points' !

A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.

What is an inequality that could represent this situation?

Answers

Answer:

7

Step-by-step explanation:

5-7*
Someone please answer this

Answers

Answer:

-2

Step-by-step explanation:

hope i helped!

Answer:

The answer is - 2

Step-by-step explanation:

5-7= - 2

1.8c+32
c=50
1.8(50)+32

Answers

Answer:

122

Step-by-step explanation:

1.8 times 50 is 90, and 90 plus 32 is 122

So, here we have the following equation... [tex]>See\;Below<[/tex]

[tex]1.8c+32[/tex]

We know that [tex]C=50[/tex] so the equation changes too the following... [tex]>See\;Below<[/tex]

[tex]1.8(50)+32[/tex]

So, lets remove the unneeded parentheses and add a multiplication sign [tex](*)[/tex]

[tex]1.8x50+32[/tex]

So, [tex]1.8*50=90[/tex] and [tex]90+32=122.[/tex]

So, [tex]122[/tex] is your final answer!

Fraction form: [tex]\frac{122}{1}[/tex]Decimal form: [tex]122.0[/tex]

This is my way of saying thanks for the answer on the fishing story question. :D

s the value of the expression below when z = 3? 10z² - 2z - 2​

Answers

Answer:

82

Step-by-step explanation:

10(3)² - 2(3) - 2

10(9) - 6 - 2

90 - 6 - 2

82

Best of Luck!

Value:

z = 3

Given Equation:

10z² - 2z - 2

Solution:

by putting the value of z, we get

10(3)² - 2(3) - 2

= 10(9) - 6 - 2

= 90 - 8

= 82

Answer:

82

Solve for c.
a(c+b)=d

Answers

Answer:

is this correct

Step-by-step explanation:

(c+b)=d/a

c=d/a -b

^^^ that is correct

Plzzzzzzzzzz helpppppp meee

Answers

it's 7 it's 7 it's 7 it's 7 it's 7 it's 7it's 7 it's 7 it's 7it's 7 it's 7 it's 7

kara needs to get a 75% on her drivers education test in order to get her license. If there are 35 questions, how many does she need to get right?

Answers

Answer:

26.25 questions

Step-by-step explanation:

75% of 35 is 26.25

the answer is 26.25 questions!

The difference between 3 1/2 and 1 4/5 is _____.

2 4/5

2 7/10

1 4/5

1 7/10

Answers

Hey there!☺

[tex]Answer:\boxed{1\frac{7}{10}}[/tex]

[tex]Explanation:[/tex]

[tex]3\frac{1}{2}-1\frac{4}{5}[/tex]

Subtract the two fractions:

[tex]3\frac{1}{2}-1\frac{4}{5}=\frac{17}{10}[/tex]

To get the final answer, you will have to simplify 17/10:

[tex]\frac{17}{10}=1\frac{7}{10}[/tex]

1 7/10 is your answer.

Hope this helps!☺

a number is less than 15

Answers

A number less than 15 is 5

Answer:

14,13,12,11,10,9,8,7,6,5,4,3,2,1,0,-1.-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15

Step-by-step explanation:

just go left on a horizontal number line from 15

is 73.00025252525 rational or irrational

Answers

Answer:

It is a rational number.

Step-by-step explanation:

It is a rational number. Even though it is a decimal it is a repeating decimal which ends which makes it rational

Given the functions, f(x) =3x -2 and g(x) = x+2/3, complete parts 1 and 2.

Find f(g(x)) and g(f(x)). Include your work in your final answer. Use complete sentences to explain the relationship that exists between the composition of the functions, f(g(x)) and g(f(x)).

Answers

f(g(x)) = 3(x+2/3) - 2
Now, distribute the 3:
3x + 2 - 2
f(g(x)) = 3x
g(f(x)) = (3x - 2) + 2/3
Get a common denominator to add the faction
-6/3 + 2/3
g(f(x)) = 3x - 4/3

The relationship between the two composition functions is that they are commutative or permutable.

Round 77.1110969489 to the nearest hundred-thousandth.

Answers

Answer: 77.11110

Step-by-step explanation:

Answer:

77.1109

Step-by-step explanation:

(4.2 x 10^2) x (2 x 10^3)

Answers

Answer: 840000

Step-by-step explanation:

Ed’s den is 6 feet longer than it is wide. If the​ den's area is 352 square​ feet, what are the dimensions of the​ room?

Answers

Let's set W as the width of the room and L as the length of the den. We know that the den is 10 ft longer than it is wide so that means:

W + 10 = L

Let's call this equation 1.

So also know that the area of the den is 144 ft2. Knowing that the equation for the area of a square is W x L, we know that for this den:

W x L = 144

Let's call this equation 2.

So now we have 2 equations and 2 unknowns. Let's take equation 1 and solve for W:

W = L - 10

Now we can substitute this value into equation 2.

(L - 10) x L = 144

L2 - 10L = 144

This looks very close to a quadratic equation. In fact, if we subtract 144 from both sides, we get the quadratic equation of:

L2 - 10L - 144 = 0

Now we can factor this equation into:

(L+8)(L-18) = 0

That means the two answers for L are -8 ft and 18 ft.

We can now substitute these values for L into equation 1 to solve for W.

W = L - 10

W = 18 - 10 or W = -8 - 10

So our 2 values for W are 8 ft and -18 ft.

Let's just make sure we did this correctly. We know that the area is 144 so (-8*-18) and (18*8) should equal 144 and it does! That means we did it correctly. Give that a den exists, it does not make sense that it has negative values, so the one real answer for this problem is that the width is 8 ft and the length is 18 ft.

The dimensions of the room were 16 feet wide and 22 feet long.

Given that Ed's den is 6 feet longer than it is wide, to determine if the den's area is 352 square feet, what are the dimensions of the room, the following calculation must be performed:

15 x (15 + 6) = X 15 x 21 = X 315 = X

16 x (16 + 6) = X 16 x 22 = X 352 = X

Therefore, the dimensions of the room were 16 feet wide and 22 feet long.

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Which value(s) of x makes the following equation true? 2x + 3= 2(x + 5) - 7​

Answers

Answer:

All Real Numbers, Infinitely Many solutions

Step-by-step explanation:

[tex]2x+3=2(x+5)-7\\2x+3=(2x+10)-7\\2x+3=2x+3[/tex]

The thickness of a notebook is i inch. If you stack one million
notebooks, how hight would they reach? Give the approximate height in
miles.
a. 16 miles
c. 1,578 miles
b. 189 miles
d. 83,333 miles

Answers

Answer:

A

Step-by-step explanation:

What is the slope of the function?
A -6
B -4
C 4
D 6

Answers

Answer:

b

Step-by-step explanation:

Find the distance between (4,3) and (10,11) ??

Answers

Answer:

10 units

Step-by-step explanation:

Formula is [ d = √(x2-x1)²+(y2-y1)² ]

= √(10-4)²+(11-3)²

= √6²+8²

= √36+64

= √100

= 10

Best of Luck!

Who is in more debt a person with a balance of $-30 or a person with $-40? why

Answers

Answer:

A person with $-40 is in more debt

Step-by-step explanation:

The person with $-40 has borrowed or spent money from their credit card more than the person who is in debt for $-30.

Answer:$-40

Step-by-step explanation:

A person with negative 40 dollars has 40 dollars missing, a person with -30 dollars only has 30 dollars missing. So the person with -$40 is missing more money and therefore, is in more debt.

A factory makes car parts in different quantities as shown in the table. How much would 9 parts​ cost?
Number
of Parts
3
7
14
17
Cost
​$1.65
​$3.85
​$7.70
​$9.35
9 car parts would cost a total of ​$
nothing.
​(Type an integer or a​ decimal.)

Answers

Answer:

$4.95

Step-by-step explanation:

Divide any number of parts by its corresponding price

Example  1.65/3 = .55

This value represents what each part is worth. Then multiply the price per part by the amount you are trying to find in this case 9

9 x .55 = 4.95

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The cost of 9 parts will be $4.95.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the cost of 3 parts is $1.65. Therefore, the cost of a single part will be,

Cost of single part = Cost of 3 parts / Number of parts = $1.65/3 = $0.55

Now, the cost of 9 parts will be,

Cost of 9 parts = Cost of a single part × Number of parts

                        = $0.55 × 9

                        = $4.95

Hence, the cost of 9 parts will be $4.95.

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A 4-column table with 4 rows. Column 1 is labeled Service with entries Restaurant, Florist, Cab Fare, Dog Groomer. Column 2 is labeled Cost with entries 40 dollars, 94 dollars, 32 dollars, 62 dollars. Column 3 is labeled Gratuity with entries 18 percent, 12 percent, 20 percent, 26 percent. Column 4 is labeled Tax with entries 8.5 percent, 12 percent, 0 percent, 5.75 percent. Sheri made the list shown of costs she expects this week. To what percent should Sheri round the gratuity for the restaurant server in order to come up with a good estimate? 10% 15% 20% 30%

Answers

Sherri should round the estimate of gratuity of the restaurant server to 20% in order to get a good estimate.

What percent should Sheri round off to?

In order to round off the gratuity of the restaurant server, which is 18% to a good estimate, we would be rounding off to the nearest ten. Because the unit digit is greater than 5, 1 would be added to the tens digit while the units digit would become 0. 18% becomes 20%.

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Answer:

C. 20%

( Hope this helps ) <3    ( Give person above brainliest )

How much fibre does the NHS recommend adults take in as a daily dose?


is it .....a) 40g......b) 10g......c) 20g...or d) 30g?

Answers

Answer:

The answer is D: 30 g.

Step-by-step explanation: I googled the answer to this question and it said that NHS reccomends that adults take around 30 g of fibre as a daily dose. If you take less, you may not get enough, but if you take more, you would possibly overdose. So, the answer is D: 30g.

simplify the expression 9 – 4x – 2 + 8x

Answers

simplify the expression .. 7+4

Jose and Anna are both finding the square root of 75.
-Jose thinks √75 ≈ 8.3.
- Anna thinks √75 ≈ 8.6.
Who is closer to the approximation of √75? Explain how you know.

Answers

Answer:

Anna is closer she guessed 8.6, 8.6x8.6 is 73.96. Jose said it was 8.3, 8.3x8.3 is 68.89

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She matches each with a similar man who does not exercise regularly, and she follows both groups for 55 years. Another researcher finds 40004000 men older than age 4040 who have not had heart attacks and are willing to participate in a study. She assigns 20002000 of the men to a regular program of supervised exercise. The other 20002000 continue their usual habits. The researcher follows both groups for 55 years. Select the correct explanation clearly detailing why the second design will produce more trustworthy data. Unscramble these letters eozple