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2 years ago

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20

Mathematics

1 answer:

Nat2105 [25]2 years ago

4 0

Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8

The smaller triangle can be expressed as :

Side / base = 6/x ----(1)

The larger triangle can be expressed as :

Side / base
Side = 6+9 = 15
15/20 - - - - - (2)

Equating (1) and (2) :

6/x = 15 / 20

15x = 20 × 6

15x = 120

x = 120 / 15

x = 8

Therefore, the value of x in the triangle is 8.

Learn more : brainly.com/question/25326255

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The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies No

Greeley [361]

Answer:

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.01

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01$

$= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01$

$=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174$

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

5 0

2 years ago

In the equation 2r - 7 = 15, what value of r makes this equation true?

erastovalidia [21]

Answer:

Step-by-step explanation:

2r - 7 = 15

2r = 15 + 7

2r = 22

r = 22 / 2

r = 11

3 0

2 years ago

Please help! The graph of the quadratic function f(x) is shown below. What is the domain of f(x)?

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2 years ago

100 points. Easy question. Topic: Fractions. ONLY COMPLETE QUESTION 1

Basile [38]

Answer: 1/4 full.

Step-by-step explanation:

The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.

There is currently 3/4 of the tank remaining.

To find 2/3 of 3/4, you can multiply the fractions together.

Do this by multiplying both numerators and both denominators:

$\frac{2}{3} *\frac{3}{4} = \frac{2*3}{3*4} = \frac{6}{12}$

Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).

3/4 - 2/4 = 1/4

There will be 1/4 of the tank left.

6 0

2 years ago

Read 2 more answers

Find the coordinates of point U.

Vesna [10]

Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2

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2 years ago

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20​

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20