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3 years ago

QRST is a parallelogram. Find x and y.

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:

y - 4x = 9

-x + 4 = y

Add x to both sides of the second equation:

y + x = 4

y - 4x = 9

This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:

5x = -5

x = -1

Use x to solve for y:

y + (-1) = 4

y = 5

So, x = -1 and y = 5.

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What is the value of x? A. 4 B. 4√3 C. 8 D. 8√3

Paladinen [302]

The answer is B. I used the trigonometric sine formula

$\sin(60) = \frac{x}{8 }$

$\sin(60) \times 8 = x$

$x = 6.93$

And

$4 \sqrt{3} = 6.93$

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3 years ago

Exponents!

sweet [91]

We know that:

$x^{a+b}=x^a\cdot x^b$

and:

$(x\cdot y)^a=x^a\cdot y^a$

so:

$3^{x+2}-3^{x}=6^3\cdot3^7\\\\3^x\cdot3^2-3^x=(2\cdot3)^3\cdot3^7\\\\3^x\cdot9-3^x=2^3\cdot3^3\cdot3^7\\\\3^x\cdot9-3^x=8\cdot3^3\cdot3^7\\\\
3^x\cdot9-3^x=8\cdot3^{3+7}\\\\3^x\cdot9-3^x=8\cdot3^{10}\\\\3^x\cdot(9-1)=8\cdot3^{10}\\\\8\cdot3^x=8\cdot3^{10}\quad|:8\\\\3^x=3^{10}\\\\\boxed{x=10}$

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3 years ago

What is the relationship between 2’s in 62,200?

diamong [38]

Answer:

The 2 in the thousands place is 10 times more than the 2 in the hundreds place.

Step-by-step explanation:

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3 years ago

Please help! By what does n mean it means on like a model

Alex787 [66]

Don’t open the link the other person put in, it a virus

7 0

3 years ago

michael wittry has been investing inhis roth IRA retirement account for 20 years. Two years ago his account was worth $215,658.

Over [174]

Let's say

a = 215,658

ok... so.. he first lost 1/3 of that

$\bf \textit{\underline{lost} }\frac{1}{3}a\qquad \qquad a-\cfrac{1}{3}a\implies a-\cfrac{a}{3}\implies \cfrac{3a-a}{3}\implies \cfrac{2a}{3}
\\\\\\
\textit{then he \underline{gained} }\frac{1}{2}\textit{ of }\frac{2a}{3}\qquad \qquad \cfrac{2a}{3}+\cfrac{\frac{2a}{3}}{2}\implies \cfrac{\frac{2a}{3}}{\frac{2}{1}}
\\\\\\
\cfrac{2a}{3}+\cfrac{2a}{3}\cdot \cfrac{1}{2}\implies \cfrac{2a}{3}+\cfrac{2a}{6}\implies \cfrac{4a+2a}{6}
\\\\\\
\cfrac{6a}{6}\implies \boxed{a}\implies 215,658$

so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.

4 0

3 years ago