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3 years ago

Two interior angles of a triangle each measure 34• . What is the measure of the third interior angle?

Mathematics

1 answer:

Sphinxa [80]3 years ago

5 0

Answer:112

Step-by-step explanation:

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The diagram shows several points and lines.

Leya [2.2K]

Answer:

B and E 2020

Step-by-step explanation:

3 0

3 years ago

Solve for x x/6=10 1) x=10 2) x=60 3) x=4 4) x=16

gregori [183]

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

6 0

3 years ago

Read 2 more answers

how would a enter a payment that was accepted with a 4 month, 8% note in a payment of a $4800.00 account

Anon25 [30]

Answer:

Enter a payment of 5192.52.

Step-by-step explanation:

Consider the provided information.

The payment is $4800 with a 4 month, 8% note.

The amount can be calculated as:

$Amount=p(1+\frac{r}{m})^{mt}$

Where p is money invested, r is annual interest rate, t is number of years and m is number of period.

Now substitute p = 4800 r = 0.08 and m = 4 in the above formula.

$Amount=4800(1+\frac{0.08}{4})^4$

$Amount=4800(1+0.02)^4$

$Amount=4800(1.02)^4$

$Amount=4800(1.08243216)$

$Amount=5195.52\ approximately$

Hence, enter a payment of 5192.52.

6 0

3 years ago

The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be

densk [106]

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0

3 years ago

Find two consecutive positive integers such that the square of the first decreased by 17 equals 4 times the second.

Zina [86]

Answer:

The two consecutive positive integers are 7 and 8

Step-by-step explanation:

Let

x ----> the first positive integer

x+1 ----> the second consecutive positive integer

we know that

$x^{2} -17=4(x+1)$

Solve for x

$x^{2} -17=4x+4\\ \\x^{2}-4x-21=0$

Solve the quadratic equation by graphing

The solution is x=7

see the attached figure

Find the value of x+1

x+1=7+1=8

therefore

The two consecutive positive integers are 7 and 8

3 0

3 years ago