1 Which expression is equivalent to (7x – 5) – (3x - 2)?​

Answer:

x = 111°

x° = 111°

(x-42)° = 69°

Step-by-step explanation:

Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.

Therefore this right trapezoid must have an interior angle sum of 360° because

a trapezoid has 4 sides → n = 4 →

(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°

Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.

The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!

180° + 2x - 42° = 360°

(Group the constants / numbers without a variable ; associative property of addition)

180° - 42° + 2x = 360°

(Find the total value of the constants)

138° + 2x = 360°

(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)

138° - 138° + 2x = 360° - 138°

(Work out the value of the constants again)

2x = 222°

(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)

2x / 2 = 222° / 2

(Simplify the two expressions)

x = 111°

_____________________

To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!

So:

x = 111° → x° = 111°

x = 111° → (x-42)° → (111 - 42)° = (69)° →

(x-42)° = 69°

Answer:

h(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = -3x - 10

h(-3) is x = -3

Step 2: Evaluate

Answer:

X=51

y=39

Step-by-step explanation:

x=90-39=51

y=90-51=39

Answer:

1. 6 to the power of 8

2. 9765625

3. 2 to the power of 4

4. 1296

5. I do not know 5 sorry.

6. 117649

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

i just know it

If the selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360.Then 72 is the markup from cost to sale price

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The selling price of an item is ​$480

It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360

We need to find 10% of 480

10/100=0.1

0.1×480=48

48 is the 10% of 480

Now subtract 48 from 480

480-48

432

Now subtract 360 from 432

432-360

72

Hence 72 is markup from cost to sale price

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Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.

- х= -у.........A

6x - бу = 12.........B

Solve A for x.

-x = - y

Divide both sides by negative 1.

Doing so, we get x = y. Plug this into B.

6x - 6y = 12

6(y) - 6y = 12

The left side becomes zero.

0 = 12 is a false statement.

Answer: There is no solution to this system of

equations in two variables.

Understand?

Answer:

11/12

Step-by-step explanation:

Fraction of smoothie that is Banana = 1/4

Fraction of smoothie that is strawberry = 2/3

The fraction of smoothies that were either banana or strawberry

= 1/4 + 2/3

Least Common Denominator= 12

= (3 × 1 + 2 × 4)/12

= 3 + 8/12

= 11/12

The fraction of smoothies were either banana or strawberry is 11/12

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

Answer:

-3

Step-by-step explanation:

[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3

Answer:

Step-by-step explanation:

a. RG=36 since RG=2(RT)

b.

4x+12=10x-15 Since RG and HI are equivalent

12=6x-15 Subtract 4x from both sides

27=6x Add 15 to both sides

4.5=x Divide by 6 on both sides

to double check:

4(4.5)+12=30

10(4.5)-15= 30

so x=4.5

Answer:

9

Step-by-step explanation:

= x + 16° + x + 3° =5x - 8°[ Sum of two interior angles is equal to the exterior angle]

or, 2x + 19 = 5x - 8

or, 19 + 8 = 5x - 2x

or, 27 = 3x

or, x = 27/3

☆ x= 9

Answer:

4). y= 2x - 6

5). y= -1x + 3

6). y= -1/3x - 1

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

Answer:

(0,-6/5)

(X,Y)

Step-by-step explanation: MARK BRAINLIEST

Answer:

(-3,0)   (0,-1.2)

Step-by-step explanation:

Answer:

60 minus 32

Step-by-step explanation:

Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.

Answer:

m∠R = 69

Step-by-step explanation:

m∠R + m∠S + m∠T = 180       {Angle sum property of triangle}

5x - 11 + 3x - 3 +  3x + 18 = 180

5x + 3x + 3x - 11 - 3 + 18 = 180     {Combine like terms}

                     11x  +4      = 180

                                 11x = 180 - 4

                                 11x = 176

                                    x = 176/11

x = 16

m∠R = 5x - 11

        = 5*16 - 11

        = 80 - 11

m∠R = 69

8 months

Step-by-step explanation:

Answer:

The percentage for both the cases would be 100% and 35% respectively

Step-by-step explanation:

The computation of the percentage of down payment to the purchase price would be:

In the first case, the percentage would be

= Down payment ÷ Total amount

= $12,000 ÷ $120,000

= 100%

For the second case, the percentage would be

=  Down payment ÷ Total amount

= $42,000 ÷ $120,000

= 35%

The percentage for both the cases would be 100% and 35% respectively

Answer:

8/27

Step-by-step explanation:

Answer:

0.03846153846

Step-by-step explanation:

Answer: 1/26 or 0.0384615

Step-by-step explanation: You Have To Figure Out How Many Times 22 can go into 57 The Answer is 2 leaving 13 bring down the 2 it makes 132         22 times 6  = 132 so the answer is 1/26.

Answer:

x = 8mi

Step-by-step explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation  +  =  . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get  +  =  ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

Answer:

She will run 202 miles in 12 wks.

Step-by-step explanation:

y = 17x + 15

15 represents the # of miles she ran in the first week.

17 represents the amount of miles she will run each week

x represents the # of weeks

y = the total # of miles in 12 weeks.

To solve plug in 11 for x since she ran 15 miles the first week she has 11 more to go.

y = 17(11) + 15

y = 187 + 15

y = 202

Hope this helps!

202 miles Abby will run during her twelfth week of training.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of weeks she walk x.

As she ran15 miles in the first week.

and, she run 17 miles in each week.

let y be the total of miles in 12 weeks.

Then, the equation can be

y = 17x + 15

y = 17(11) + 15

y = 187 + 15

y = 202

Hence, 202 miles Abby will run during her twelfth week of training.

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Answer:

Sarah has. 25 cups in each serving. Amy has. 2 cups in each serving. Sarah is. 05 more than Amy.

Step-by-step explanation:

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

Answer

13

Step-by-step explanation:

4+4+4=12+.23+.23+.23=12.69 and round up to 13

Answer:

See Explanation

Step-by-step explanation:

[tex]25x + 30y = 340\\y = 2x\\[/tex]

x=number of hours Isaiah worked.

y=number of hours Cooper worked

Answer:

332

Step-by-step explanation:

Since there is a ratio of 9:8 (women to men), the total should be 17. So even if there were 81 women and 72 men, the total ratio should still be 17. (In simplifiest form.)

So, 5,644 divided by 17=332

Since 9 is 1 more than 8, there are 332 more women than men.

Hope this made sense! I wasn't sure how to explain this.

Answer:

332

Step-by-step explanation: