M<N = (5x) and m <l=(x+20). What is the value of X?10
5
4
20

Solve and explain how you got your answer

Answers

Answer 1

Answer:

Answer:

x = 5

Step-by-step explanation:

The figure shows two pairs of opposite sides parallel, so quadrilateral KLMN is a parallelogram. Angles N and L are opposite angles in a parallelogram, so their measures are equal.

m<N = m<L

5x = x + 20

4x = 20

x = 5

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What is the probability that a month picked at random will have 31 days? A.5/12B.4/12C.7/12D.8/12
The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters. She found this by averaging the thicknesses of five different books. Four of the thicknesses were 1.4 cm, 1.9 cm, 2.1 cm, and 2.4 cm. What was the thickness of the fifth book that she measured?
Which of the following are solutions to the equation below?

What is the answer to 4x+5=12x

Answers

4x + 5 = 12x

4x+5−12x=12x−12x

−8x=−5
/-8 /-8

x = 5/8

ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 2 : 11. If the longest side of ΔABC measures 15 units, what is the length of the longest side of ΔDEF?

Answers

Answer:

82.5 cm

Step-by-step explanation:

For similar triangles, ratio of perimeter will equal to ratio of sides.

Here we are given that triangles ABC and DEF are similar.

This implies the corresponding sides are proportional.

By corresponding we mean that the longest sides of ABC with the longest side of DEF.

Hence Longest side of ABC/Longest side of DEF = Ratio of sides

= Ratio of perimeter.

Let the longest side of DEF be x.

i.e. 15/x = 2/11

Cross multiply to get

2x = 165

Divide by 2

x = 82.5 cm.

Hence the longest side of Triangle DEF = 82.5 cm.

Verify: Check proportions of longest sides

= $(15)/(82.5) =(2)/(11)$ which equals ratio of perimeters.

Thus verified.

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0here are options for both blanks (The equivalent equation (x-Blank)^2=Blank

-1/4
1/4
-1/2
1/2
-9/4
9/4
-3/2
3/2

Answers

so to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4

Darius takes his family on an afternoon boat ride. Going through York Canal, he drives 55 miles in 1515 minutes. Later on as he crosses Stover Lake, he drives 3030 minutes at the same average speed. Which statement about the distances is true?

Answers

he drove 110 miles in 3030 minutes

3x + 4y =10 6x -2y = 40

Answers

Simplifying

3X + 10 = 6X + 40

Reorder the terms:

10 + 3X = 6X + 40

Reorder the terms:

10 + 3X = 40 + 6X

Solving

10 + 3X = 40 + 6X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-6X' to each side of the equation.

10 + 3X + -6X = 40 + 6X + -6X

Combine like terms: 3X + -6X = -3X

10 + -3X = 40 + 6X + -6X

Combine like terms: 6X + -6X = 0

10 + -3X = 40 + 0

10 + -3X = 40

Add '-10' to each side of the equation.

10 + -10 + -3X = 40 + -10

Combine like terms: 10 + -10 = 0

0 + -3X = 40 + -10

-3X = 40 + -10

Combine like terms: 40 + -10 = 30

-3X = 30

Divide each side by '-3'.

X = -10

Simplifying

X = -10

Tricia had 4 1/8 yards of fabric to make curtains. When she finished she had 2 3/8 yards of fabric left. She said she used 2 2/8 yards of fabric for the curtains. Do you agree?

Answers

Well for this you have to do 4 1/8 - 2 3/8. You cannot subtract 1 - 3, so you have to take away 1 from three and add 8 to 1 so now the equation is 3 9/8 - 2 3/8. This is equal to 1 6/8 or 1 3/4, so no, she did not use 2 2/8 yards of fabric.

No because if you add up the fabric she 'used' and the fabric she made to make the curtains it doesn't match up with the original yards of fabric she had to make the curtains.

2 3/8+ 2 2/8= 4 5/8

4 5/8 is the supposedly original fabric she had. It's only 1/2 off from the original fabric of yards.

So no I don't agree.

M<N = (5x) and m <l=(x+20). What is the value of X?105420Solve and explain how you got your answer

Answers

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M<N = (5x) and m <l=(x+20). What is the value of X?10
5
4
20

Solve and explain how you got your answer