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3 years ago

15

Write a 2-column proof to prove the triangles congruent

1 answer:

Rom4ik [11]3 years ago

3 0

Sure.

Statement Reason

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AB=PL | Given

BC=LQ | Given

AC=PQ | Given

△ABC≅△PLQ | SSS

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BRAINLIEST<br> find the value of a^n b^n if n=3,a=100,and b=1/4

Bumek [7]

Answer:

= (100)^3(1/4)^3

= 15,625 i think im not that good at math but i passed

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the equation of the midline of the sinusoidal function?

WITCHER [35]

Answer: y = 0
Note: of course you don't need to type in the "y=" part as its already taken care of

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The highest point is when y = 5
The lowest point is when y = -5
Find the midpoint of those y values. Add them up: 5 + (-5) = 0
Then divide that result by 2: 0/2 = 0

The midpoint of 5 and -5 is 0. So the midline is y = 0
This is the center horizontal line that runs through the middle of the sinusoidal curve
The vertical distance from the midline to either the peak or valley is the same (in this case, 5) which is known as the amplitude

7 0

3 years ago

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In Exercise, evaluate each expression.<br> 643/4

Goshia [24]

Answer:

$\\ 64^{\frac{3}{4}} = 16\sqrt{2}$

Step-by-step explanation:

We need here to remember that:

$\\{(x^{a})}^{b} = x^{a * b}$

$\\{x^{a} * x^{b} = x^{a + b}$

Then,

$\\ 64^{\frac{3}{4}} = {(8^{2})}^{(\frac{3}{4})} = {{(2^{3})}^{2}}^\frac{3}{4}$

$\\ 64^{\frac{3}{4}} = {{2^{3}}^2}^\frac{3}{4} = 2^\frac{3*2*3}{4}$

$\\ 64^{\frac{3}{4}} = 2^\frac{2*3*3}{4} = 2^\frac{3*3}{2} = 2^\frac{9}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}}$

Since $\\ \frac{9}{2} = \frac{4}{2} + \frac{4}{2} + \frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}} = {2^{(\frac{4}{2} + \frac{4}{2} + \frac{1}{2})}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{4}{2}} * 2^{\frac{4}{2}} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{2} * 2^{2} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 4 * 4 * \sqrt{2} = 16 \sqrt{2}$

5 0

3 years ago

6q + 8 = -9 - 76 <br><br>a. 12<br>b. -12<br>c. 84<br>d. -84

Alona [7]

Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation

Step-by-step explanation:

6q+8=-9-76

6q+8=-85 Subtract 8 from both sides

6q=-93 Divide both sides by 6

q=-15.5

6 0

3 years ago

The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 900 v

Aleks04 [339]

Answer:

P-value = 0.0367

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is significantly over 42%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.42\\\\H_a:\pi>0.42$

The sample has a size n=900.

The sample proportion is p=0.45.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.42*0.58}{900}}\\\\\\ \sigma_p=\sqrt{0.000271}=0.016$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.45-0.42-0.5/900}{0.016}=\dfrac{0.029}{0.016}=1.79$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>1.79)=0.0367$

4 0

3 years ago