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3 years ago

Which relationship is always correct for the angles x, y, and z of triangle ABC?

Mathematics

2 answers:

Zarrin [17]3 years ago

7 0

Your answer is B. y+z=x.

lesya [120]3 years ago

7 0

Answer: B. y + z = x

Step-by-step explanation:

Given: A triangle ABC in which $\angle{B}$ is labelled as 'y' and $\angle{C}$ is labelled as 'z' and x is an exterior angle to $\angle{A}$ .

We know that there is a property of triangles that the measure of exterior angle is equal to the the sum of the measure of the opposite interior angles.

Therefore, x=y+z

Thus, B. is the right answer.

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5. Find the slant height of the square pyramid illustrated below that has a

Andre45 [30]

Answer:

20 ft

Step-by-step explanation:

The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.

SA = base area + lateral area

SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height

SA -b² = 2bs . . . . . subtract the base area

s = (SA -b²)/(2b) . . . . divide by the coefficient of s

Using the given values for surface area and base length, we find ...

s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet

The slant height of the pyramid is 20 feet.

8 0

3 years ago

Help math word problem

aleksandr82 [10.1K]

Do 450÷4 and that's your answer

7 0

3 years ago

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

zloy xaker [14]

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

As the sample size is large, i.e. <em>n</em> = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

$\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012$

Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

$P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})$

$=P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090$

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

5 0

3 years ago

A (I cant say it on here for some reason )water fish tank requires a certain salinity. To reach this requirement, the relationsh

FromTheMoon [43]

Answer: Represents when the equation is at 5 gallons of water 1.5 pounds of salt is needed to have the correct salinity

Step-by-step explanation:

3 0

3 years ago

(-5/8)×(2/3) what's this answer ?

shutvik [7]

Answer:

Q = -5/8 * 2/3

Multiply both numbers like your multiplying actual numbers.

<h2><em><u></u></em></h2><h2><em><u>A = -10/24 = -5/12</u></em></h2><h2><em><u>Hope this helps</u></em></h2>

6 0

3 years ago