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Mrac [35]
3 years ago
14

Marco is writing a coordinate proof for one of the properties of an isosceles triangle. He begins by assigning coordinates to tw

o of the vertices of an isosceles triangle as shown.
What coordinates should he assign to the third vertex of the isosceles triangle?

(a, b)(a, b)

(b, a)(b, a)

(b, b)(b, b)

(2a, 2b)

Mathematics
2 answers:
svp [43]3 years ago
6 0
If the base of the isosceles triangle lies on the x axis and one of the base angles is located on the origin, then the third vertex would lie somewhere in Quadrant I. If the coordinate of the second base angle is (2a, 0), then the coordinates that should be assigned to the third vertex of the isosceles triangle is (a, b).
Leokris [45]3 years ago
5 0

Answer:

Just took the test and I got the answer correct. :)))

Step-by-step explanation:

Look at the answer in the picture below!!

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A customer purchases groceries for $22.00 before tax, and $23.76 after tax. What percentage sales tax did the customer pay?
icang [17]
12.5 percent sales tax
5 0
3 years ago
3) Which of the equivalent expressions for P(x) reveals the profit when the price is
kondor19780726 [428]

Question:

Which of the equivalent expressions for P(x) reveals the profit when the price is

zero without changing the form of the expression? P(x) = -3x² + 432x - 1680

a) P(x) = -3(x - 4)(x - 140)

b) P(x) = -3(x - 72)² + 13872

Find the profit when the price is zero

Answer:

- P(x) = -3(x - 140)(x - 4).

- P(0) = -1680

Step-by-step explanation:

Given

P(x) = -3x² + 432x - 1680

Required

- Find equivalent of P(x)

- Find P(x) when x = 0

To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.

This is done as follows

P(x) = -3x² + 432x - 1680

P(x) = -3x² + 12x + 420x - 1680

P(x) = -3x(x - 4) + 420(x - 4)

P(x) = (-3x + 420)(x - 4)

Further expand -3x + 420

P(x) = -3(x - 140)(x - 4).

Hence, the equivalent of

P(x) = -3x² + 432x - 1680

without changing its form is

P(x) = -3(x - 140)(x - 4).

When price is 0, then x = 0.

Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).

P(0) = -3(0 - 140)(0 - 4).

P(0) = -3(-140)(-4)

P(0) = -1680

Hence, the profit when price is 0 is -1680

6 0
3 years ago
The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 7 small, 8 medium, and 4 large
umka21 [38]

Answer:

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

Step-by-step explanation:

We have 7 small shirts, 8 medium shirts and 4 large shirts

Total number of shirts = 7 + 8 + 4 = 19 shirts

The probability that at least one of the first four shirts he checks is a large is given by

P(at least 1 large) = 1 - P(no large)

So first we need to find the probability that the none of the first four shirts he checks are large.

For the first check, there are 15 small and medium shirts and total 19 shirts so,

15/19

For the second check, there are 14 small and medium shirts and total 18 shirts left so,

14/18

For the third check, there are 13 small and medium shirts and total 17 shirts left so,

13/17

For the forth check, there are 12 small and medium shirts and total 16 shirts left so,

12/16

the probability of not finding the large shirt is,

P(no large) = 15/19*14/18*13/17*12/16

P(no large) = 0.352

Therefore, the probability of finding at least one large shirt is,

P(at least 1 large) = 1 - P(no large)

P(at least 1 large) = 1 - 0.352

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

4 0
3 years ago
Answer the question as well thanks. ​
Slav-nsk [51]

Where is the method 1 and 2?

8 0
3 years ago
I have 1/2 of melon. i have to give it to 3 friends. how much will they have.
allochka39001 [22]

Answer:

The answer is 1/6

Step-by-step explanation:

1/2 % 3= 1/6

4 0
4 years ago
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