All categories

3 years ago

Given M ,N find the value of x

Mathematics

1 answer:

kirill115 [55]3 years ago

5 0

Answer:

x = 59 , y = 44

Step-by-step explanation:

(2x + 18) and (x - 15) are adjacent angles on a straight line and sum to 180°

2x + 18 + x - 15 = 180 , collect like terms

3x + 3 = 180 ( subtract 3 from both sides )

3x = 177 ( divide both sides by 3 )

x = 59

Then

x - 15 = 59 - 15 = 44

y and (x - 15) are corresponding angles and are congruent , then

y = 44

You might be interested in

The expression for perimeter of a rectangle with a length of (x + 7) and a width of (2x)

tatuchka [14]

Answer:

P = 6x + 14

Step-by-step explanation:

P = 2l + 2w

where P is perimeter, l is length, and w is width

l = x + 7

w = 2x

So P = 2(x+7) + 2(2x)

Distribute the 2 to the x and 7.

P = 2*x + 2*7 + 2*2x

Multiply each term out

P = 2x + 14 + 4x

Group the xs

P = 2x + 4x + 14

Combine like terms

P = 6x + 14

3 0

2 years ago

Read 2 more answers

In the lab, Keith has two solutions that contain alcohol and is mixing them with each other. He uses twice as much Solution A as

egoroff_w [7]

Answer:

Quantity of solution B required is 300 ml

Step-by-step explanation:

Let "a" be quantity of solution A required

Let "b" be quantity of solution B required

We are given Solution A is 19% alcohol and Solution B is 14% alcohol and that the resulting mixture has 156 milliliters of pure alcohol

Thus;

0.19a + 0.14b = 156 - - - (eq 1)

Also, He uses twice as much Solution A as Solution B.

Thus;

a = 2b

Putting 2b for a in eq 1 gives;

0.19(2b) + 0.14b = 156

0.38b + 0.14b = 156

0.52b = 156

b = 156/0.52

b = 300 ml

Quantity of solution B required is 300 ml

6 0

2 years ago

walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart

lara31 [8.8K]

Answer:

$245

Step-by-step explanation:

350× 0.30 = 105 dollars off

350-105 = 245

7 0

3 years ago

Read 2 more answers

Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 13, 5, 2, 9, 1, 14, 3, 5, 7. Find the med

Nuetrik [128]

Answer:

The median is 7.

Step-by-step explanation:

In order to find the median, you need to ut the numbers in either least to greatest form, or greatest to least (FIRST).

I'm gonna do both as an example.

Greatest to least:

14, 13, 9, 9, 7, 5, 3, 2, 1

Least to greatest:

1, 2, 3, 5, 7, 9, 9, 13, 14

It is REALLY important that you use ALL of the numbers you are given, even if there are two or more of the same number.

The next thing you need to do is find the number that is in the middle.

It will be the same for both least to greatest AND greatest to least.

You can either count one from either side, going in a pattern, OR you can count how many there is, divide it by 2, and whatever answer you get, count that many times over from one side.

In this case, your answer goes like this:

since there are 9 numbers, and 9 is not an even number, you will have only one median. Having 2 medians IS normal and it IS ok.

In this case, you want to go down one number (from 9) and divide that. So you do 8 divided by 2, which is 4. Count that many times over and you have your answer, 7.

I hope this helped you!

Have a great dayyyy

5 0

3 years ago

You are graphing Rectangle ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:

emmainna [20.7K]

Answer:

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 24+2 ps y+4 sr y+5 qR 2x + 3 pq 2y+2.

Step-by-step explanation:

8 0

3 years ago