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2 years ago

Given m||n, find the value of x and y.

Mathematics

1 answer:

Elina [12.6K]2 years ago

4 0

Answer:

x = 18 , y = 45

Step-by-step explanation:

The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.

Same- side interior angles sum to 180° , then

6x + 7 + 4x - 7 = 180 , that is

10x = 180 ( divide both sides by 10 )

x = 18

Then

6x + 7 = 6(18) + 7 = 108 + 7 = 115

6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so

3y - 20 = 115 ( add 20 to both sides )

3y = 135 ( divide both sides by 3 )

y = 45

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Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

Subtract 2 on both sides:

$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

$\cos^2(t)+\sin^2(t)=1$

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

5 0

3 years ago

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G(x)=-3x+2 and g(x)=-1, find x

Zinaida [17]

Answer:

x=1

Step-by-step explanation:

7 0

3 years ago

Geometry question please help due tomorrow

vagabundo [1.1K]

The anwer of this question is c

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3 years ago

4 > p - 1

alexdok [17]

Answer:

p < 5

I think this is the answer?..

5 0

2 years ago

Plz plz plz help me with this

erica [24]

This question wants you to find a common denominator for the fractions.
This means finding the LCM, least common multiple, for 21 and 9.
This can be done by listing the multiples for each number until they meet at a common one.

9:
9
18
27
36
45
54
63

21:
21
42
63

This means the LCM of 21 and 9 is 63.
So the lowest possible common denominator is 63.

21 • 3 = 63
So you have to multiply the numerator of 2/21 by 3 as well.
2 • 3 = 6
2/21 = 6/63

Now do the same for 1/9.
9 • 7 = 63
Multiply the numerator, 1, by 7.
1 • 7 = 7
1/9 = 7/63

So in the first blanks, you would put 6/63 for what 2/21 is equal to and 7/63 for what 1/9 is equal to.

7/63 is greater than 6/63.
7/63 > 6/63
That means 1/9 > 2/21
So 2/21 < 1/9 is the answer to the last blank.

Hope this helps!

6 0

3 years ago