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Ksju [112]
3 years ago
7

In a math final please help asap find the angle r show ur work

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

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the perimeter of a rectangle is 54 meters. one side is 3 meters less than four times the length of the other side.
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54 = 2(4x-3) + 2(x)
54 = 8x-6 + 2x
60 = 10x
6 = x
so two sides are 6 meters, and the other 2 sides are 21 meters
3 0
3 years ago
The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff
jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

  x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

  x - y ≤ 10 . . . . the difference in acreage will not exceed 10

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C) see below for a graph

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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

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7 0
3 years ago
A local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers on Friday. There were 51 fewer cheeseburgers so
katrin2010 [14]

Answer: 350

Step-by-step explanation:

Let the cheeseburger be represented by a.

Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:

= a + 51.

Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:

a + a + 51 = 649

2a + 51 = 649

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a = 598/2

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299 cheeseburger were sold

Therefore, the number of hamburger sold will be:

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7 0
2 years ago
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DochEvi [55]

9514 1404 393

Answer:

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5 0
2 years ago
Perform the indicated operation.
rewona [7]

Answer:

your answer should be 7 1/24

6 0
3 years ago
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