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3 years ago

Create an equation to solve for x then solve for x.

Mathematics

1 answer:

Ratling [72]3 years ago

5 0

Answer:

Step-by-step explanation:

In parallelogram adjacent angles are supplementary

∠U +∠V = 180

9x + 15 + 6x + 15 = 180

Combine like terms

9x + 6x + 15 + 15 = 180

15x + 30 = 180

Subtract 30 from both sides

15x = 180 - 30

15x = 150

Divide both sides by 15

x = 150/15

x = 10

∠U = 9x + 15

= 9*10 + 15

= 90 + 15

∠U = 105

∠V = 6x + 15

= 6*10 + 15

= 60 + 15

∠V = 75

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200 + 200m - 100 - 100m + 100

slava [35]

Answer:

200+100m

Step-by-step explanation:

Simplified by collecting like terms

5 0

2 years ago

PLEASE ANSWER!!

s344n2d4d5 [400]

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${x}^{2} + 2xy \\ { ( - 3)}^{2} + 2( - 3)(5) \\ 9 + 2( - 15) \\ 9 + ( - 30) \\ - 21$

7 0

3 years ago

PLEASE HELP ME WITH BOTH QUESTIONS THANKS!!

vitfil [10]

First one:

cos(A)=AC/AB=3/4.24

cos(B)=BC/AB=3/4.24

Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1

Second one:

To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).

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And Angle A is congruent to angle E (alternate interior angles).

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3 years ago

Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink ha

ICE Princess25 [194]

Answer:

Sugar concentration of the mixed soft drink will be 32.5%.

Step-by-step explanation:

Sugar concentration of first drink = 20%

Volume of first soda = 250 ml

Sugar in first soda = 20% of 250 ...... (1)

Sugar concentration of second drink = 45%

Volume of second soda = 250 ml

Sugar in second soda = 45% of 250 ...... (2)

Let $x\%$ be the sugar concentration in resultant mixture.

Volume of mixture = 250 + 250 = 500 ml

Sugar in mixture = $x\%$ of 500 ml ...... (3)

Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):

20% of 250 + 45% of 250 = $x\%$ of 500

$\Rightarrow \dfrac{20}{100} \times 250 + \dfrac{45}{100} \times 250 = \dfrac{x}{100} \times 500\\\Rightarrow 2 \times x = 65\\\Rightarrow x = 32.5\%$

Hence, Sugar concentration of the mixed soft drink will be 32.5%.

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3 years ago

Do 3+5 and 5+3 represent the same expression

andrezito [222]

Hello there,

Yes, 3+5 and 5+3 do represent the same expression. This expression is called the commutative property.

Hope this helps.

~Jurgen.

3 0

3 years ago

Read 2 more answers