All categories

3 years ago

Im putting all the questions in one to make it easier

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

I'll focus on problem 19 and problem 22

============================================================

Problem 19

Answers:

x = 87
x+15 = 102

-------------------------------

Explanation:

The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.

Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.

x+15 = 102

x = 102-15

x = 87

Which leads to

x+15 = 87+15 = 102

============================================================

Problem 22

Answer: y = 27

-------------------------------

Explanation:

We have a pair of alternate exterior angles. They are congruent due to the parallel lines.

Let's solve for y.

7y-55 = 3y+53

7y - 3y = 53+55

4y = 108

y = 108/4

y = 27

You might be interested in

I need help with this question please

ludmilkaskok [199]

Answer:

Step-by-step explanation:

The enclosing rectangle is 24 units long and 12 units high. Its area is ...

(24 units)(12 units) = 288 square units

The white circles obviously cover more than half the area, so the only viable answer choice is 62.

If you want to go to the trouble to actually figure it out, you can find the area of each circle using the area formula ...

A = πr² = (3.14)(6²) = 113.04

Then both circles have an area of 2×113.04 = 226.08, and the shaded area is the difference between that and the rectangle area:

shaded area = 288 -226.08 = 61.92 ≈ 62

5 0

3 years ago

Please help me due today i really need ur help :(

enyata [817]

Answer:

1) B. $12

2) B. Rich burns 1 more calorie per minute than Katie

3) C. Jeffery walks 5 meters per minute slower than Fumi.

Step-by-step explanation:

1) earnings / hours = salary

salary = 24/2 = 60/5 = 96/8 = 12

salary = $12

2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.

3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.