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Dominik [7]
3 years ago
10

21) Find x. Show your work.

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer:

x = 21

Step-by-step explanation:

Givens:

Every triangle's interior angles add up to 180°

The triangle has a right angle.

The triangle is isosceles (two equal sides and two equal angles)

Let's make an equation with the information we have already.

2 × (2x + 3) + 90 = 180

4x + 6 + 90         = 180

4x + 96                = 180

4x                         = 84

x                           = 21

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Answer:

Probability - spinner 1

1/5 - not likely

Probability - spinner 2

1/8 - not likely

Step-by-step explanation:

8 0
3 years ago
A line with y-intercept b contains the point (0, 0) (0, <br> b. (b, <br> b. (b, 0)
german
Yintercept is the point where the line crosses the y axis and where x=0
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3 years ago
6. Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random vari
Aleks04 [339]

Answer:

99.7%

Step-by-step explanation:

Mean number of passengers (μ) = 180 passengers

Standard deviation (σ) = 20 passengers

The number of standard deviation from the mean for the lower and upper bounds of the 120 to 240 passengers intervals are:

L = \frac{180-120}{20} =3\\U = \frac{240-180}{20} =3

Therefore, all of the data is within 3 standard deviations from the mean. According to the empirical rule, 99.7% of the data is within 3 standard deviations from the mean. Therefore, we can assert with a 99.7% probability  that there will be between 120 and 240 passengers.

4 0
3 years ago
Find the value of the expression:2a(b−c)+b(2c−2a)+4c(0.5a−0.5b)
Agata [3.3K]

Answer:

0

Step-by-step explanation:

2a(b−c)+b(2c−2a)+4c(0.5a−0.5b)

To simplify this we need to remove the parenthesis

Distribute 2a, b and 4c inside the parenthesis

2ab -2ac + 2bc - 2ab + 2ac - 2bc

now we combine like terms'

2ab - 2ab becomes 0

-2ac +2ac becomes 0

+2bc - 2bc becomes 0

So final answer is 0



5 0
3 years ago
What is the name of the Platonic solid shown below?
kap26 [50]

Answer: Tetrahedron

Step-by-step explanation:

8 0
3 years ago
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