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2 years ago

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Given: ∠V ≅ ∠Y, bisects ∠VWY. Prove: ∆VWZ ≅ ∆YWZ Look at the figure. Which postulate or theorem proves the triangles are congrue

nt? SSS Postulate AAS Theorem ASA Postulate SAS Postulate

1 answer:

Maru [420]2 years ago

8 0

Answer:

AAS

Step-by-step explanation:

We say Angle Angle side Similarty if the two conscutive angles of the triangle are congrent or epual

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Mary had 33 pennies in her pocket. She spent 25 of the pennies. Then she found 2 pennies and put them into her pocket. Which sho

dalvyx [7]

Answer:D

Step-by-step explanation:

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2 years ago

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At the dog show, there are 4 times as many boxers as spaniels. If there are a total of 30 dogs, how many dogs are spaniels?

soldi70 [24.7K]

There are 6 spaniel because 6 times 4 equals 24 and if you add 6 + 24 it equals 30 the amount of dogs at the show...hope it makes sense I messed up a little explaining

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2 years ago

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The ages of the patients in a doctor's surgery are: 27, 13, 16, 20, 41 and 9. Find the mean of this set of data. Another patient

Andreas93 [3]

Answer:

The mean is 30 and there are 2 patients over this age.

Step-by-step explanation:

Add up 27+13+16+20+41+9+84=210

Then divide by the amount of numbers "7" so

210/7 is 30.

There are 2 patients over the age of 30.

Make sure that you are correct and do the problem twice.

4 0

2 years ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Pepsi [2]

X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9

Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9

Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12

Step 4: Divide both by -3
-3x/-3=-12/-3
X=4

6 0

2 years ago

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

7 0

1 year ago