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3 years ago

The measure of angle 4 is 120°, and the measure of angle 2 is 35°. What is the measure of angle 5?

Mathematics

2 answers:

pickupchik [31]3 years ago

8 0

If this was a triangle, the answer would be 35 degrees. Can you plz show a graph if you have one though?

Alenkasestr [34]3 years ago

3 0

Answer:

Option (A) is correct.

Step-by-step explanation:

In the given figure, we have

m∠4 = 120° and m∠2 = 35°.

We are to find the measure of ∠5.

Since ∠3 and ∠4 makes a linear pair, so

The sum of the measures of three angles of a triangle is 180°, so

Again, since ∠1 and ∠5 makes a linear pair, so

Thus, the measure of ∠5 is 95°.

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Lena currently has a balance of -$10.48 in his checking account. Her bank requires her to maintain a minimum balance of $20. How

Goshia [24]

Answer

$30.48

Step-by-step explanation:

Find out how to get fro, -10.48 to 20. When you add .48 it makes it just $10. Add 30 more and get $20.

3 0

3 years ago

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

3 years ago

If h(x) = 2x^2 , then h(-2) + 5=_________

Vaselesa [24]

Answer:

Step-by-step explanation:

Given the equation h(x) = 2x²

To solve for h(-2) + 5 then, we need to break the problem into two parts

First, we will solve for the function h(x) at x = -2

h(x) = 2x² so

h(-2) = 2(-2)²

h(-2) = 8

Knowing this, we can plug 8 into our original expression for h(-2)

8 + 5

This gives us 13

8 0

3 years ago

PLZ HELPPP OMG I WILL GIVE 50 POINTS NOT A SCAM I HAVE A QUIZ GRADE DEPENDS ON THIS

nekit [7.7K]

Answer:

Step-by-step explanation:

All I know is x is 20 and y is $48.75 sorry.

5 0

3 years ago

The area of a square is 729 square feet.What is the length of the side?

Art [367]

To find the length of the side of a square when the area is known, find the square root of the area:

Side length = √729

Side Length = 27 feet.

7 0

3 years ago