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3 years ago

What is the measure of 3?

Mathematics

1 answer:

mafiozo [28]3 years ago

5 0

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

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The waiting time at a doctor’s office is uniformly distributed with a minimum waiting time of 10 minutes and a maximum waiting t

MariettaO [177]

Answer:

25%

Step-by-step explanation:

There are 20 minutes between 10 and 30 and 5 minutes between 10 and 15 so you need to find 5% of 20 (5/20 x 100) which is 25%

6 0

3 years ago

Find the value of x in x+y=8 and x-y=6

Diano4ka-milaya [45]

Answer: x=-y+8 and x=y+6

Step-by-step explanation:

7 0

3 years ago

Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards

amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

Solution:-

- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

- Let the three numbers be a, b, c: Such that:

a < b < c.

- The total possible combinations with 3 numbered cards will be:

a b c

b a c

a c b

b a c

b c a

c a b

- We have 6 possibilities for 3 numbered cards. So the probability of of each subsequent card being larger than the previous drawn card would be:

P = 1 / possible combinations

P = 1 / 6

6 0

3 years ago

You might need:

Oduvanchick [21]

Answer:

The maximum possible number of mosquitoes is 25 millions

Step-by-step explanation:

Let

m(x) -----> the number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes)

x ----> the rainfall in centimeters

we have

$m(x)=-(x-5)^{2} +25$

This is a quadratic equation (vertical parabola) open downward

The vertex is the maximum

we know that

The maximum possible number of mosquitoes is equal to the y-coordinate of the vertex

Find out the coordinate of the vertex

The general equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

a is a coefficient

(h,k) is the vertex

In this problem

a=-1 (open downward)

(h,k)=(5,25)

The y-coordinate is 25

therefore

The maximum possible number of mosquitoes is 25 millions

5 0

3 years ago

5(n+4)/3=n-8 A.-24 B.24 C.22 D.-22 PLEASE HELP

arsen [322]

Start with

$\dfrac{5(n+4)}{3} = n-8$

Multiply both sides by 3:

$5(n+4) = 3(n-8)$

Expand both sides:

$5n+20 = 3n-24$

Subtract $3n$ from both sides:

$2n+20 = -24$

Subtract 20 from both sides:

$2n = -44$

Divide both sides by 2:

$n = -22$

6 0

3 years ago