Find the value of x so that lines l and m are parallel.
Find the value of x so that lines l and - 1

Answers

Answer 1
Answer:

Final answer:

The value of x that will make the given lines parallel is 11. This is determined by setting up and solving the equation formed by setting the two given angles equal to each other.

Explanation:

In this question, you are provided with the two alternate interior angles formed by the two lines l and m that are supposedly parallel. We know that in the case of parallel lines, alternate interior angles are equal.

Therefore, for the lines l and m to be parallel, the equality 2x+22 = 4x must hold.

Let's solve this equation step by step:

  1. Subtract 2x from both sides: 22 = 2x
  2. Divide both sides by 2: x = 11

So, the value of x that makes lines l and m parallel is 11.

Learn more about Parallel Lines here:

brainly.com/question/29762825

#SPJ2

Answer 2
Answer:

4x+2x+22=180\n\n6x=158\n\nx=(158)/(6)=(79)/(3)


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Find the height of the pole if the shadow of a boy 6 ft. tall is 3 ft. and the shadow of the pole is 2 1/3 yards.

Answers

The height of the pole in yards would be 4 2/3yds, and it's height in feet would be 14ft.

hope this helped :)

Point G is located at (3, −1) and point H is located at (−2, 3). Find y value for the point that is 2 over 3 the distance from point G to point H.

Answers

Answer: The answer is (5)/(3).

Step-by-step explanation:  Given that the co-ordinates of point G and H are (3, -1) and (-2, 3) respectively.

We are to find the y-value of the point P that is located at two-third distance from point G to point H.

As shown in the attached figure, the ration in which the point P divides the line segment GH is 2 : 1.

Therefore, the co-ordinates of point P will be

\left((2* (-2)+1* 3)/(2+1),(2* 3+1* (-1))/(2+1)\right)\n\n\n=\left((-4+3)/(3),(6-1)/(3)\right)\n\n=\left((-1)/(3),(5)/(3)\right).

Thus, the y-value of the point P is (5)/(3).

B. 1.67
m : n = 2 : 1
 ( x, y ) = ( (1*3 + 2*(-2))/(2+1) ;  (1 * (-1) + 2 * 3) /(2 + 1) ) =
 = ( (3-4)/3  ; (-1+6)/3 ) 1.67

What is the value of y?4y2 + 8 = 264

± ______

note: the 2 next to the y is an exponent.

Answers

4y^2+8=268

remember you can do anything to an equaiotn as long as you do it to both sides

isolate variable

4y^2+8=264
minus 8 both sides
4y^2+8-8=264-8
4y^2+0=256
4y^2=256
divide both sides by 4
y^2=64
sqar both sides
y=+/-8


8 goes in blank
4y^2+8-8=264-8
4y^2/4=256/4
y^2=64
Sqaure root 64
Y=8

Joanna bought a car and after 5 years of payments, she paid $6,250. The initial loan for the car was $5,000. What was the interest rate on Joanna's loan for the 5 years?HELP ME PLS

Answers

Answer:

5%

Step-by-step explanation:

6,250-5000

1,250

divide that by 5

you get 250

250/5000= 0.05

multiply that by 100 to get the percentage (interest rate)

so the answer is a 5% interest rate

Choose the correct classification of 5x + 3x4 − 7x3 + 10 by number of terms and by degree.Third degree polynomial
Fourth degree polynomial
Sixth degree polynomial
First degree binomial

Answers

Answer:

Fourth degree polynomial

Step-by-step explanation:

Given is an algebraic expression with 4 terms as

5x+3x^4-7x^3+10

First let us arrange these terms in the descending powers of x.

We get

3x^4-7x^3+5x+10

is the standard way of representing any polynomial.

This is a polynomial because x has powers only as non negative integers.

The degree is 4 since the leading term or highest degree term has degree 4.

This is a polynomial as this got more than 3 terms after simplification.

Hence Option B is the answer.

Answer:

Fourth degree polynomial.

Step-by-step explanation:

Took test this answer not third degree polynomial.

Name the correct property of (-5)(-3)=(-3)(-5)

Answers