O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 85
x = 17
The angle measures are 34 degrees and 56 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 85
x = 17
The angle measures are 34 degrees and 46 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 95
x = 19
The angle measures are 52 degrees and 38 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 95
x = 19
The angle measures are 19 degrees and 71 degrees.

O (3x - 5) + 2x = 905x - 5 = 905x = 85x = 17The Angle Measures Are 34 Degrees And 56 Degrees.O (3x -

Answers

Answer 1

Answer:

Equation: [tex]3x-5+2x=90[/tex]

Angle measures: 52 degrees and 38 degrees

Step-by-step explanation:

Hi there!

We're given that the two angles form a right angle, which means they add up to 90 degrees.

Knowing this, we can construct the following equation:

[tex]3x-5+2x=90[/tex]

Now, we must solve for x:

[tex]5x-5=90\\5x=95\\x=19[/tex]

Therefore, x=19. Plug this into the expression for each angle to find their measures:

[tex]3x-5\\= 3(19)-5\\= 57-5\\=52[/tex]

[tex]2x\\=2(19)\\=38[/tex]

Therefore, the two angles measure 52 degrees and 38 degrees.

I hope this helps!


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Solve for p.

8 − 4(2p − 2) = 7 + p + 9

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Answers

Answer:

p = 0

Step-by-step explanation:

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

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Answer:

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Step-by-step explanation:

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Factorize:a^2+2ab+b^2-c^2​

Answers

Answer:

(a + b)^2 — c^2

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Erik bought a mattress that was marked down 70% from an original price of $500. If the sales tax in Oak Grove is 8%, what was the total cost of the mattress?​

Answers

Answer:

Btw the result are this: 70% = 0.7500 = 0.78% = 0.08 In Oak Grove

Step-by-step explanation:

The total cost of the mattress is $162 after markdown 70%  and sales tax 8%

Given :

Erik bought a mattress that was marked down 70% from an original price of $500

Original price is 500 dollars

marked down that is discount percentage is 70%

Lets find the discount amount using original price

markdown percentage times original price

[tex]discount = \frac{70}{100} \cdot 500=350[/tex]

cost of mattress after discount is 500-350= 150 dollars

sales tax is 8%

now we find the tax amount for 150 dollars

[tex]tax=150 \cdot \frac{8}{100} \\tax = 12[/tex]

tax is 12 dollars

the total cost of the mattress= cost of mattress +tax

the total cost of the mattress=150+12=162

the total cost of the mattress is $162

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if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .​

Answers

Answer:

50

Step-by-step explanation:

x + 30 = 180 - 2x   [vertically opposite angles]

x = 180 - 30 - 2x

x = 150 - 2x

x + 2x = 150

3x = 150

x = 150/3

x = 50

Write as an algebraic expression five times the sum of a number and 4

Answers

Answer:

5(x+4)

Step-by-step explanation:

It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).

Karma spends two fifth hours every day learning music.how maby hours does she spends learning music in a week?​

Answers

Answer:

17.5

Step-by-step explanation:

Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?

Answers

Answer:

Rate =interest*100/principal*time

Rate = 7.5%

Step-by-step explanation:

At 7.5 % annual rate of interest did she invest her money.

What is rate of interest?

The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.

Given

Principal P = $10800

Time t = 4 years

I = 3240

Interest = [tex]\frac{P\times r \times t}{100}[/tex]

[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]

[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]

r = 7.5 %

At 7.5 % annual rate of interest did she invest her money.

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Answer:

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Step-by-step explanation:

a^15 / a^3

= a^15-3

= a^12

Use law of indices.

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...

https://www.algebra.com › tutors

Recent problems solved by 'mrduffner' - See tutors' answers!

3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .

IT IS ONE

answer is :
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i am not sure but i think its correct

School for Jan started at 9.00 a.m. and finishes at 3.00 p.m. If Jan knew she was 2∕3
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Answers

Answer:

it's 1 pm

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Answers

Answer:

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Answers

Answer:

t≥-7

Step-by-step explanation:

7−2t≤21

Subtract 7 from each side

7-7−2t≤21-7

−2t≤14

Divide each side by -2, remember to flip the inequality

-2t/-2 ≥14/-2

t≥-7

3 Five friends shared 8 1/3 pounds of apples equally. How many pounds of apples did each person get?​

Answers

Answer:

a fruit seller buys 712 fruits ,of which 3/4 are apples. of all apples that he bought 1/3 were found to be rotten. if he sold all the good apples at Rs.5 1/4 each.

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Answers

Answer:

[tex](x - y + 2) \times (x + y - 2)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]

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raise the quotient of y and 5 to the 2nd power

Answers

Answer:

I'm guessing y is numerator and 5 is denominator. so y^2/25

Step-by-step explanation:

so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.

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Answer:

f(x) = ∣x∣

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Step-by-step explanation:

Have a nice day! :-)

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Answers

Answer:

7

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Step-by-step explanation:

22-15=7

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment FH is 7 units.

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

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Since the line segment, FG is made from FH and HG. Therefore, we can write,

FG = FH + HG

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Hence, the length of the line segment FH is 7 units.

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The diameter of a regulation soccer ball is about 85 inches. This number was graphed on a number line.
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Answer:

Point D

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Submit Answer
0 -5 8 3 - 4 2 3
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O 5+(-4)
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Answers

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Answers

Answer:

17000 pounds

Step-by-step explanation:

5 tons = 1 load

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Answers

Place 45

set-square and make an angle of 45

by drawing the rays BD and BC

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Answers

Answer:

the slope of MN= -5-1/3-(-6)=-2/3

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therefore, y-1= -2/3(x-6)

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Together, Sala and Terry saved $10.00. Sala. saved D dollars. Write an expression for the amount Terry saved.​

Answers

Let Terry Saved be T dollars .

The Expression will be

[tex]\\ \rm\longmapsto Sala+Terry=\$10.00[/tex]

[tex]\\ \rm\longmapsto D+T=\$10.00[/tex]

Answer:

T = 10 - S

Step-by-step explanation:

The only useful information is that  they saved $10 together. We are just going to add the money Sala and Terry saved to equal 10.

S + T = 10

They want an expression for how much Terry saved so we can solve for T.

T = 10 - S

Best of Luck!

What is the volume of a crystal in the shape of a pyramid with a base (b) measuring 4 cm and a height (h) of 5 cm?

Answers

Answer:

2 (L+B)

2 (4+5)CM

2×9

18cm

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Answers

Answer:

e) 14

Step-by-step explanation:

(18-n)/2 = 2

18-n = 4

-n = -14

n = 14

The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.

What is Algebra?

The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.

Given:

When a number n is subtracted from 18

=(18- n)

and, the difference is divided by n

=(18 - n)/n

so, result is 2

(18 - n)/n = 2

18 - n = 2n

3n = 18

n= 18/3

n= 6

Hence, the value of n is 6.

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Arrange 7/ 10 , 3/5 , 17/ 20 , 11/ 15 in descending order​

Answers

Answer:

17/20 , 11/15 , 7/10 , 3/5

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