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2 years ago

How do you solve his

Mathematics

1 answer:

telo118 [61]2 years ago

6 0

Hello!

We know that the angles in a rectangle are 90°

Since they are 90° then the two separate angles add to 90

4x - 12 + x + 2 = 90

Combine like terms

5x - 10 = 90

Add 10 to both sides

5x = 100

Divide both sides by 5

x = 20

Now we put x into the two angles

x + 2 = ?

(20) + 2 = 22

4x - 12 = ?

4(20) - 12 = ?

80 - 12 = 68

The answers are
x = 20
4x - 12 = 68
x + 2 = 22

Hope this helps!

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What is the slope of the line that passes through the following points: (3,-1) and (-1,2)?

Katyanochek1 [597]

with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2

m = 2-(-1)/ -1-3 ⇒ m= 3/-4, m = -3/4, therefore the slope is - 3/4

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2 years ago

If it rains tomorrow, the probability is 0.6 that John will practice his cello. If it does not rain tomorrow, there is only a

steposvetlana [31]

The final probability is the weighted average of the playing probabilities calculated over the possible weather options:

P(john practices cello; given that it rains) * P(it rains) +

P(john practices cello; given that it does not rain) * P(it does not rain) =

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3 years ago

40% of N is 80. Find N

Aliun [14]

Answer:

i think N=32

Step-by-step explanation:

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2 years ago

In a batch of 100 parts, 40 are red, 50 are L-shaped and 22 are both red and L-shaped. What is probability that a part picked fr

Bogdan [553]

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Step-by-step explanation:

Let us revise some rules of probability

The addition rules are:

P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)

∵ A batch has 100 parts

∵ 40 are red

- Probability of an event is the [even occurs/total outcomes]

∴ P(red) = $\frac{40}{100}=0.4$

∵ 50 are L-shaped

∴ P(L-shaped) = $\frac{50}{100}=0.5$

∵ 22 are both red and L-shaped

∴ P(red and L-shaped) = $\frac{22}{100}=0.22$

This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule

∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)

∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22

∴ P(red or L-shaped) = 0.68

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Learn more:

You can learn more about the probability in brainly.com/question/2254182

#LearnwithBrainly

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2 years ago

Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}

Elena-2011 [213]

Hey mate!!

Answer:

n(A)=12

Solution,

A={3,6,9,12,15,18,21,24,27,30,33,36}

Just count the elements,

There are 12 elements in the set.

So the cardinal number of the set is 12.

<h2>Hope it helps...</h2>

8 0

2 years ago

Read 2 more answers