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3 years ago

Set up the following word problem as a proportion and solve. Then write your answer as a complete sentence.

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

8/100 = x/175
cross multiply
(100)(x) = (8)(175)
100x = 1400
x = 1400/100
x = 14.....so 14 vials will treat 175 people

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If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?

Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B + 90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0

3 years ago

A driving exam consists of 30 multiple-choice questions. Each of the 30 answers is either right or wrong. Suppose the probabili

Butoxors [25]

Answer:

a. P(x>20)=0.19

b. P(x≥6)=0.72

c. P(x≤20)=0.81

d. A and C

Step-by-step explanation:

We know that:

1) the probability that a student makes fewer than 6 mistakes is 0.28

$P(x$

2) The probaiblity that a student makes between 6 to 20 mistakes is 0.53.

$P(6\leq x\leq20)=0.53$

We will express the proabilibities in function of the information we have.

a. Probability that a student makes more than 20 mistakes.

$P(x>20)=1-P(x\leq20)=1-(P(x20)=1-(0.28+0.53)=1-0.81=0.19$

b. Probability that the student make 6 or more mistakes

$P(x\geq6)=1-P(Px$

c. Probability that a student makes 20 mistakes at most

$P(x\leq20)=P(x$

d. A and C, because A takes a event of more than 20 mistakes and C takes the event of 20 or less mistakes. Both events cover a probability of 1.

7 0

2 years ago

What is the area of this figure? 49.5 in² 66.5 in² 84 in² 91 in²

Nookie1986 [14]

D 19 in2
find the area of a square, width times height
then find the area of the triangle, width times height divided by 2

6 0

3 years ago

Read 2 more answers

Solve 100y + 50x = 200

liq [111]

The answer to your question is x=-2y+4

7 0

3 years ago

Read 2 more answers

HELP PLEASE!!!!!!!!

marusya05 [52]

The angles of a triangle add up to 180 degrees

180 - 80 = 100

Both of the unknown angles are the same. So...

100/2= 50

X = 50 degrees

7 0

3 years ago