What are the values of the variables in the triangle below?

Answer:

3=127

4=53

2=53

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Step-by-step explanation:

Perimeter represents the sum of all of the sides adding.

The problem is stating that;

[tex]30 = x + x + 3 + 2x - 1[/tex]

Combine like terms;

[tex]30 = 4x + 2[/tex]

Subtract from both sides;

[tex]28 = 4x[/tex]

Divide each side by 4;

[tex]7= x[/tex]

Check;

[tex]30 = 7 + 7 + 3 + 2(7) - 1[/tex]

[tex]30 = 17 + 14 - 1[/tex]

[tex]30 = 31 - 1[/tex]

[tex]30 = 30\checkmark[/tex]

Answer:

259+k=x

Step-by-step explanation:

x= total number of miles

Answer:

21.6

Step-by-step explanation:

131.6÷6

One just needs to go to his/her calculator and solve it

Answer:

  0.04566210...(8-digit repeat)

Step-by-step explanation:

The quotient of 6 ÷ 131.4 is shown in the attachment. The remainder at the bottom matches the original dividend, so the quotient will be repeating:

  [tex]\dfrac{6}{131.4}=0.\overline{04566210}[/tex]

The division process starts by rewriting the problem to integer division:

  60/1314

(If you like, you could further reduce this to 10/219 by removing a common factor of 6 from numerator and denominator.)

At each stage, the quotient digit is multiplied by the divisor and the result subtracted from the dividend to get a new dividend. Careful attention to the vertical alignment of digits will help ensure that quotient digits have their proper place value.

Answer:

$6.15

Step-by-step explanation:

30.75×20%

...........................

Answer:

50.4

Step-by-step explanation:

2x40=80

40/2=20

80-20=60

60x10/100=6

60x6/100=3.6

3.6+6=9.6

60-9.6=50.4

x = 5.43 + .83m

5.43 + .83 * 5 = 5.43 + 4.15 = $9.58

Answer:

The missing angle is 22.62°

Answer:

see explanation

Step-by-step explanation:

(3)

the values of q decrease as the values of p increase.

this indicates an inverse relationship between the quantities, that is

q = [tex]\frac{k}{p}[/tex] ← k is the constant of variation

to find k use any ordered pair from the table.

using q = 16 when p = 3 , then

16 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

48 = k

q = [tex]\frac{48}{p}[/tex] ← equation of variation

(4)

the values of q increase as the values of p increase.

this indicates the quantities are in direct variation, that is

q = kp ← k is the constant of variation.

to find k use any ordered pair from the table.

using q = 2 when p = 6 , then

2 = 6k ( divide both sides by 6 )

[tex]\frac{2}{6}[/tex] = k , that is

k = [tex]\frac{1}{3}[/tex]

q = [tex]\frac{1}{3}[/tex] p ← equation of variation

2 2/3

Step-by-step explanation:

multiply eight times one

it will be eight over three

the divide eight by three and put in a mixed number

Answer:

I think the answer is y = 3x - 10

Step-by-step explanation:

Answer:

w = - [tex]\frac{58}{31}[/tex]

Step-by-step explanation:

3 1/4 = 1/2 + w

Cross Multiply

31(2 + w) = 4

Divide both sides by 31

[tex]\frac{31(2 + w)}{31}[/tex] = [tex]\frac{4}{31}[/tex] (simplify) -> 2 + w = [tex]\frac{4}{31}[/tex]

Subtract 2 from both sides

2 + w - 2 + [tex]\frac{4}{31}[/tex] - 2 (simplify) -> - [tex]\frac{58}{31}[/tex]

w = - [tex]\frac{58}{31}[/tex]

Answer:

y=4x

Step-by-step explanation:

Direct Variation means y=kx where k is a Constant

since y=8 when x=2

y=kx -->  8=k*2  then k=4

Then y=4x

Answer:

8618925447

Step-by-step explanation:

1.  9 x 99=891

2.  891 x 999= 890109

3.  890109 x 9683 = 8618925447

Answer:

Carl is incorrect, he didn't write an equivalent expression and he didn't use the distributive property in the equation.

Step-by-step explanation:

When solving equations, we use PEMDAS

P = Parenthesis

E = Exponent

M = Multiply

D = Divide

A = Add

S = Subtract

So lets solve the equation then:

6 - 4 (3 - 6x) + 12x

Use the distributive property to multiply −4 by 3 and -6x

6 - 12 + 24x + 12x

Subtract 12 from 6 to get −6

-6 + 24x + 12x

Combine 24x and 12x to get 36x

-6 + 36x

So, -6 + 36x is the answer

And the reason why Felipa is correct, is because Felip wrote an equivalent expression, she correctly multiplied -4 (3 - 6x) before adding or subtracting and she combined like terms correctly.

The reason why Carl is incorrect, is because he didn't write an equivalent expression and he didn't use the distributive property in the equation.

Answer: Below

Step-by-step explanation:

Well they already gave you crucial information. The radius, or r, is 19, and pi can be substituted with 3. Using that we can do:

C = 2 * 3 * 19

C = 6 * 19

C = 114

Our answer is 114.

5th question: [tex]\frac{-8-4a}{-4} =2 + a[/tex]

6th question: [tex]11(-4q +3d + 3) = -44q +33d+33[/tex]

7th question: [tex]\frac{15w +5-35w}{-5} =-3w-1+7w=4w-1[/tex]

8th question: [tex]4(y-1)+9(y+2) = 4y-4 + 9y+18= 13y+14[/tex]

Hope it helps!

Answer:

Principle

Step-by-step explanation:

An amount borrowed or invested is a principle

Answer:

[tex]A.\ 2\sqrt7\ \ \ \ \ \ \ \ \ \ C\bullet3\pi[/tex]

Step-by-step explanation:

[tex]\frac{\left(Basic\ Calculation\right)}{\frac{6}{5}+\frac{2}{3}=\frac{18}{15}+\frac{10}{15}=\frac{28}{15}}[/tex]

[tex]5+\frac{2}{3}=5\frac{2}{3}[/tex]

[tex]\sqrt9+\frac{2}{3}=3+\frac{2}{3}=3\frac{2}{3}[/tex]

[tex]So\ 2\sqrt7\ and\ 3\pi\ is\ the\ answer[/tex]

I hope this helps you

:)

Answer: 4

Step-by-step explanation: with rounding the 7 bumps the 3 to a 4

Answer:

the Area is 1280 cm

Step-by-step explanation:

All we need to do is use the formula for finding area which is length times width.

[tex]L*W[/tex]

We are given both of those measurements so all we need to do is put them in the formula

[tex]32*40=1280[/tex]

Answer:

b:8 c:4 just look at the table and the graph for the increase of money spent for the rides

Answer:

A: 5 CM

B: 2.5 CM

C: ABC approx. equal to EDC (I'm not 100% sure on this one, but it makes most sense.)

I can't help you with number four, I'm sorry. I hope someone else comes along and helps with that!

Step-by-step explanation:

The symbol being used means "approximate equality" meaning that the two angels are alike. So in A, the two sides on the shapes are both 5 cm. On B, since it is half of that side, it would be half of five, making it 2.5 cm. For C, the middle letter is the one touched second. Therefore when you draw the shape it makes the most sense that it's ABC approx. equal to EDC. Not to mention that ABC and the next angel has to match, so since the C is last, it also matches in that spectrum.

For D, I don't know the terminology, I'm sorry.

An inequality is a comparison of expressions by either "less than" (<), "less than or equal to" (<=), "greater than" (>), or "greater than or equal to" (>=). Note that Html does not support the standard symbols for "less than or equal to" and "greater than or equal to", so we use <= and >= for these relations.  

Answer:

Step-by-step explanation:

it says Jane is 115 years older than Marian it means that Jane is 253 years old

Answer:

The set of all solutions. 

Answer:

16x² + 72x + 81

Step-by-step explanation:

The area of a square is [tex]s^2[/tex], where s = side. In this case, we're given the side length as 4x + 9.

Therefore, the answer is 16x² + 72x + 81.