What is the solution of 13 = t + 7 t

kap26 [50]

Answer:

EF = 18 in. & m∠F = 134 °

Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

m∠E + m∠G + m∠F = 180°

23° + 23° + m∠F = 180°

46° + m∠F = 180°

m∠F = 134°

Hope this explanation helps you understand this problem. Cheers.

5 0

3 years ago

WILL GIVE BRAINLIEST

SVETLANKA909090 [29]

Answer:

The correct option is A.

Step-by-step explanation:

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Let y be the profit (in millions) after x years.

From the given graph it is clear that the line passes through the point (1,-100).

The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).

The line passes through (1,-100) and (4,80). So, the equation of line is

$y-(-100)=\frac{80-(-100)}{4-1}(x-1)$

$y+100=\frac{180}{3}(x-1)$

$y+100=60(x-1)$

$y+100=60x-60$

Subtract 100 from both sides.

$y+100-100=60x-60-100$

$y=60x-160$

The function form is

$f(x)=60x-160$

Therefore, the correct option is A.

6 0

3 years ago

A committee must be formed with 4 teachers and 5 students. If there are 11 teachers

Ivenika [448]

Answer:

11C4 × 11C5

$\binom{11}{4} \times \binom{11}{5} = \frac{11 \times 10 \times 9 \times 8}{4 \times 3 \times 2 \times 1} \times \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2 \times 1} = 330 \times 462 = 152460$

7 0

2 years ago

) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

3 0

3 years ago

If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesi

Dovator [93]

Answer:

Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.

Step-by-step explanation:

The hypotheses would be;

Null hypothesis;H0: μ = 500

Alternative hypothesis;Ha: μ ≠ 500

Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.

Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.

7 0

3 years ago

What is the solution of 13 = t + 7 t​

What is the solution of 13 = t + 7 t