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2 years ago

What method can be used to prove the triangles below are congruent

Mathematics

2 answers:

bonufazy [111]2 years ago

8 0

Ik it’s either a or d but i am not sure, i hope this helps

Elena-2011 [213]2 years ago

7 0

Answer: AAS

Step-by-step explanation:

The congruent sides and angles form AAS. the triangles are congruent by the AAS theorem.

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A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When

Stolb23 [73]

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

$\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}$

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}$

$Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}$

$Z =2.11$

The p-value = 2(Z > 2.11) since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the $\mathbf{H_o}$ if the p-value is less than $\mathbf{H_o}$

Conclusion: We fail to reject $\mathbf{H_o}$ and conclude that the population mean = 2, thus the machine is properly adjusted.

4 0

3 years ago

Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.

Vera_Pavlovna [14]

Answer:

$\boxed {x = -\frac{1}{7}}$

Step-by-step explanation:

Solve for the value of $x$ :

$6(4x + 5) = 3(x + 8) + 3$

-Use <u>Distributive Property</u>:

$6(4x + 5) = 3(x + 8) + 3$

$24x + 30 = 3x + 24 + 3$

-Combine like terms:

$24x + 30 = 3x + 24 + 3$

$24x + 30 = 3x + 27$

-Take $3x$ and subtract it from $24x$ :

$24x + 30 -3x = 3x - 3x + 27$

$21x + 30 = 27$

-Subtract both sides by $30$ :

$21x + 30 - 30 = 27 - 30$

$21x = -3$

-Divide both sides by $21$ :

$\frac{21x}{21} = \frac{-3}{21}$

$x = \frac{-3}{21}$

-Reduce the fraction to the lowest term by extracting and canceling out $3$ :

$x = \frac{-3\div3}{21 \div 3}$

$\boxed {x = -\frac{1}{7}}$

Therefore, the value of $x$ is $-\frac{1}{7}$ .

5 0

3 years ago

What is the equation of the line in the slope intercept form?

VladimirAG [237]

Answer:

y = mx+b is the equation for slope-intercept form

Step-by-step explanation:

m=slope

x=independent variable

y= y-intercept

3 0

3 years ago

Read 2 more answers

What is the image of the point (4,1) after a rotation of 270° counterclockwise about

Delicious77 [7]

Answer:

1,-4

Step-by-step explanation:

formula for rotation of 270 is (x,y) to (y,-x)

6 0

3 years ago

the scale on a map is 0.5 centimeter = 3 kilometers. on the map, town B is 12.5 centimeters away from town A. what is the actual

Nitella [24]

Answer:

75 kilometers.

Step-by-step explanation:

It is 75 because 0.5 goes into 12.5 25 times. 25 x 3 = 75.

That is why the answer is 75. Have a gr8 day (:

(Can I have brainliest?)

8 0

3 years ago