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3 years ago

Which of the following statements best represents the relationship between a relation and a function.

Mathematics

2 answers:

tatuchka [14]3 years ago

6 0

I think this is what you were after ;-)

Which of the following statements best represents the relationship between a relation and a function.

1. A function is always a relation but a relation is not always a function

prisoha [69]3 years ago

4 0

A relation is a function, if and only if, the x- values do not repeat in a given set.

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Somebody help me with this

Alchen [17]

Given:

Given that the quadrilateral ABCD is inscribed in the circle.

The measure of ∠A is (14z - 7)°

The measure of ∠C is (8z)°

The measure of ∠D is (10z)°

We need to determine the measures of ∠A, ∠B, ∠C and ∠D

Value of z:

We know the property that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

Thus, we have;

$\angle A+ \angle C=180^{\circ}$

Substituting the values, we have;

$14z-7+8z=180$

$22z-7=180$

$22z=187$

$z=8.5$

Thus, the value of z is 8.5

Measure of ∠A:

The measure of ∠A can be determined by substituting the value of z.

Thus, we have;

$\angle A=14(8.5)-7$

$\angle A=119-7$

$\angle A=112^{\circ}$

Thus, the measure of ∠A is 112°

Measure of ∠C:

The measure of ∠C can be determined by substituting the value of z.

Thus, we have;

$\angle C=8(8.5)$

$\angle C =68^{\circ}$

Thus, the measure of ∠C is 68°

Measure of ∠D:

The measure of ∠D can be determined by substituting the value of z.

Thus, we have;

$\angle D=10(8.5)$

$\angle D=85^{\circ}$

Thus, the measure of ∠D is 85°

Measure of ∠B:

The angles B and D are supplementary.

Thus, we have;

$\angle B+ \angle D=180^{\circ}$

Substituting the values, we get;

$\angle B+ 85^{\circ}=180^{\circ}$

$\angle B=95^{\circ}$

Thus, the measure of ∠B is 95°

8 0

4 years ago

Read 2 more answers

Write (-32)^2 as an expression without a negative exponent

r-ruslan [8.4K]

(-32)^2

It's multiply twice

-32×-32=1024

5 0

3 years ago

Solve the equation -2 = 3x/5 + 1

kirill [66]

$- 2 = \dfrac{3x}{5} + 1 | \times 5 \\ - 10 = 3x + 5 \\ - 3x = 15 | \div ( - 3) \\ x = - 5$

4 0

3 years ago

*Quick answer please

Anastaziya [24]

He Paid $14 each share but lost $6 each share. 14-6= 8..... he sold 100 shares of stock for $8each. 100 divided by 8 =$12.50

6 0

3 years ago

In a recent health survey, 333 adult respondents reported a history of diabetes out of 3573 respondents. What is the critical va

adoni [48]

Answer:

The critical value for the 90% confidence interval is $Z_c = 1.645$ .

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The critical value for the 90% confidence interval is $Z_c = 1.645$ .

6 0

3 years ago