MATHEMATICS COLLEGE

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer 1

Answer:

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1) + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2 = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

Related Questions

Jenna must run a total of 12 miles on Monday.Jenna ran 3 5/6 miles in morning and 4 1/12 miles in the afternoon.How many miles does Jenna still need to run before the end of the day?•1 9/12•4 1/12•7 11/12•5 5/12
Find the volume of a right circular cone that has a height of 3.2m and a base with a radius of 14.1m. Round your answer to nearest tenth of a cubic meter
A telephone company charges 50 cents for along distance call for the first two minutes, and 30 cents for each additional minute. Find the cost of a 15-minute call.
Annabelle spent $5 to buy 4 raffle tickets.how many tickets can she buy for $20
arlene sells computers and tablets.she earns an 8% commision on every dollar of sales that she makes.In one month she earned a total of 2,560 in commisions.write an equation for Arlene sales

Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 90 square feet. Suppose fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board is three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?

Answers

Answer:

3 feet wide and 9 feet long.

Step-by-step explanation:

The classroom wall has an area of $90ft^2$ .

The fire code requirements allow a bulletin board with an area of at most 30% of $90ft^2$ . This means that the maximum area of the bulletin board is $27ft^2$

Let L and W be the length and wide of the bulletin board.

If the length of the board is three times as long as the width, then L=3W, and the area of the board is $LW=3WW=3W^2$

For the largest board we have, $3W^2=27 \Rightarrow W^2=(27)/(3)=9 \Rightarrow W=√(9)=3ft$

So, the largest bulletin board that meets the fire code is 3 ft. wide and 9 ft. long.

A jar has 4 red marbles 7 blue marbles and 8 yellow marbles what is the probability of randomly selecting a marble and getting a blue marble?Please help!!!!

Answers

Answer: 7/19

Explanation:

There are 7 blue marbles out of 4+7+8 = 11+8 = 19 total

The probability of selecting blue is therefore 7/19

We cannot reduce 7/19 any further because 7 and 19 have no common factors other than 1.

g Indicate whether the sequence is increasing, decreasing, non-increasing, or non-decreasing. The sequence may have more than one of those properties The nth term is 1/n.

Answers

Answer:

decreasing, non-increasing

Step-by-step explanation:

The sequence is ...

1, 1/2, 1/3, 1/4, ...

Each term is smaller than the one before it, so the sequence is decreasing (also, non-increasing).

What is the approximate circumference of a circle with a radius of 3 centimeters?

Answers

1.5 I think would be the correct answer not sure

Can someone please answer asap..ik it’s easy but idk lol

Answers

Answer:

Step-by-step explanation:

a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

I just wanted to say your room is beautiful lol

Algebra 1 Honors Add Polynomials to find perimeter

Answers

The perimeter of the quadrilateral is 4z 16.

What is Perimeter?

To calculate the perimeter, or distance around the rectangle, sum all four side lengths. This may be done quickly by adding the length and breadth and then multiplying the total by two because each side length has two lengths. The perimeter formula is perimeter=(length+width)2.

The 4 sides of quadrilateral is z-4.

Now, the Perimeter of quadrilateral

= (z-4) + (z-4) + (z-4) + (z-4)

= 4 (z-4)

= 4z- 16

Thus, the perimeter is 4z- 16.

Learn more about Perimeter here:

brainly.com/question/6465134

#SPJ2

Answer:

4z-16 units

Step-by-step explanation: