Can somebody help me on this?

Mathematics

1 answer:

irga5000 [103]3 years ago

4 0

Answer:

x=28

Step-by-step explanation:

From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.

Summarizing:

1. m<3 = m<4

2. m<1 = m<2

3. m<1 + m<2 + m<3 + m<4 = 360

Substituting 1 and 2 in equation three we have:

4. 2m<2 + 2m<3 = 360.

Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:

2 ( x + 84) + 2 ( 3x + 16) = 360

Solving for x:

2x + 168 + 6x + 32 = 360

8x = 224

x=28

You might be interested in

Koleman just received a 6% raise in salary. Before the raise he was making $52,000 per year. How much more will Koleman earn nex

pogonyaev

$52,000 + 6% = $55,120

If this helped you, would you mind answering one of my recent questions? Thanks!

7 0

3 years ago

Read 2 more answers

Original price =282$ %Markdown =10%

EleoNora [17]

Answer:

Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.

Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:

282 x 0.10 = X

28.2 = X

Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).

6 0

3 years ago

Which table represents a linear function?

Oduvanchick [21]

The first table because the y side is increasing at the same rate. the rate is 4

6 0

3 years ago

Read 2 more answers

Why did the chicken hit her egg with an ax