Solve for x in the diagram below

The answer to this.

Readme [11.4K]

Answer:

The two column proof is presented as follows;

Step ${}$ Statement Reason

1 ${}$ $\overline {AC}$ ≅ $\overline {BD}$ Given

${}$ ∠CAB ≅ ∠DBA

2 ${}$ $\overline {AB}$ ≅ $\overline {AB}$ Reflexive property

3 ${}$ ΔABC ≅ ΔBAD SAS rule of congruency

Step-by-step explanation:

Given that we have;

Segment $\overline {AC}$ of ΔABC being congruent to (≅) segment $\overline {BD}$ on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment $\overline {AB}$ , we have;

Segment $\overline {AB}$ is congruent to itself by reflexive property, therefore;

Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD

7 0

3 years ago

Find the equation of a line that has the same slope as y=3-7x and the same y-intercept as y= -4x – 10.

Gekata [30.6K]

Answer: y=3x -10

slope : 3 y-int : -10

Step-by-step explanation: I believe this is the answer

5 0

3 years ago

Solve and graph the inequality Problem and solutions are below

Ivan

Answer:

The correct answer is D.

Step-by-step explanation:

When dividing -4 on both sides, the correct result becomes 8 is greater than or equal to z. This also means that the result of z must be less than or equal to 8, so the graph also represents a closed point at 8 with the ray pointing towards the left with each result less than 8.

3 0

4 years ago

Deciding where items such as text, pictures, boxes, lines, and other flourishes go on the page is known as

Goshia [24]

B. Composition

Hope that helped!

5 0

3 years ago

A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s

denpristay [2]

Answer:

For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=40-1=39$

For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

3 0

4 years ago