If y = 9 and x = 12, what additional information is necessary to show that using the SAS postulate?

Answers

Answer 1

Answer: I saw the image that should have accompanied this question.

Δ DMU & Δ MPA both are right triangles.

DMU: short leg = 12 ; hypotenuse = 15
MPA: short leg = 0.5x + 6 ; hypotenuse = 2y - 3

x = 12 ; y = 9

12 = 0.5(12) + 6
12 = 6 + 6
12 = 12

15 = 2y - 3
15 = 2(9) - 3
15 = 18 - 3
15 = 15

SAS postulate states that if 2 sides and 1 angle of 1 triangle is congruent to the 2 sides and 1 angle of another triangle. Then, these triangles are congruent.

Since sides are already computed, you need to look for the congruent angles of each triangle. In this case, since both are right triangles, its congruent angle is 90°

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The inverse of a function is a set of ordered-pair numbers in which the range set is interchanged with the domain set. a. True
b. False

Answers

true, because it is reflected across the y=x line

Answer:

True

Step-by-step explanation:

What is the surface area of the rectangular prism?200 in2

110 in2

220 in2

180 in

Answers

Answer:

220 in2

Step-by-step explanation:

(10 * 5) * 2 = 100

(10 * 4) * 2 = 80

(5 * 4) * 2 = 40

cuz the bottom of the rectangle

100 + 80 + 40 = 220

Answer:

Step-by-step explanation:

the correct answer is 220 in I took the k12 math quiz just now and got 80% but this question was correct

PLEasEE help me...i need
an equation with the solution of x=5.
a equation with the solution of 3/2 (1.5)
an equation with the solution of -2
thank you

Answers

Answer:

3x + 3 = x + 13

y=1.5x−6.5,

Step-by-step explanation:

substitute the number in for the first two

The school hall is 4 times as long as it is wide. If the perimeter is 55m, what is the length? and what is the width?

Answers

-- The width of the school is ' W '. We don't know what that is yet,
but we're going to find out.

-- We're told that the length is 4 times as much. So the length is ' 4 W '.

-- Perimeter is (2 widths) + (2 lengths).

2 widths = 2 W
2 lengths = 8 W
Perimeter = 10 W

-- We're also told that the perimeter is 55m. That's just what we need.

10 W = 55 m

Divide each side of this equation by 10:

W = 5.5 m

There's the width !
The length of the hall is 4 times as much.

Length = 4 W = 22 m

A worker is hired for $80 a day on the condition that if business is slow, the worker will only receive half pay. At the end of 20 days, the worker receives $1,320. On how many days was business slow?

Answers

7 slow days

You know the worker worked a total of 20 days, some at $80 per day, and some at $40 per day. After the 20 days, the worker was paid $1320.

x = days paid full time ($80)
y = days paid half time ($40)

you have two unknowns, so you'll need two equations to solve, from the problem statement, we can derive the following relationships:

($80)x + ($40)y = $1320
x + y = 20 days

x = 20 - y
80(20 - y) + 40y = 1320
1600 - 80y + 40y = 1320
1600 - 40y = 1320
1600 - 1320 = 40y
280 = 40y
y = 280/40 = 7

thus 7 days paid half time (i.e. slow days)

verify your solution is correct
y = 7
x = 20 - 7 = 13
80(13) + 40(7) = 1320 [OK]

franko pays $48.75 for fifteen 14-count boxes of granola bars. How much does 1 box of granola bars cost

Answers

Answer: 3.25

Step-by-step explanation: To calculate the price of a single box of granola bars we take the total price and divide it by 15 (the amount of boxes purchased) to get $3.25 per box of 14-count granola bars.

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