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4 years ago

Write a proof. Given: AB * BE = CB * BD Prove: Triangle ABC ~ Triangle DBE

Mathematics

1 answer:

tester [92]4 years ago

7 0

Answer: Both triangles create a bisected angle between themselves.

Step-by-step explanation: There is a cross section where the angles are lined up to be the same or whatever.

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2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A

Leokris [45]

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let $\mu$ = population mean length of the board.

So, Null Hypothesis, $H_0$ : $\mu$ = 2564.0 millimeters {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 2564.0 millimeters {means that the boards are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean length of boards = 2559.5 millimeters

s = sample standard deviation = 15.0 millimeters

n = sample of boards = 26

So, the test statistics = $\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }$ ~ $t_2_5$

= -1.529

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

4 0

4 years ago

Compare.Write <,>,or = 25 lb____ 384 oz

raketka [301]

25 lb > 384 oz because 25 pounds is 400 ounces.

5 0

3 years ago

Read 2 more answers

Matt started doing extra chores around the house and his allowance changed from $30 per week to $40 per week. What is the percen

slega [8]

Answer:

33.3%

Step-by-step explanation:

Let's say the percent change is x%. Then the equation is:

30 + x% * 30 = 40

Subtract 30 from both sides:

x% * 30 = 10

Divide by 30:

x% = 10/30 = 1/3

Remember that % simply means "out of 100", so:

x/100 = 1/3

Multiply both sides by 100:

x = (1/3) * 100 = 33.3%

3 0

3 years ago

Read 2 more answers

Write an equation in slope intercept form of the line with a slope of -3/4 and y intercept of -5

raketka [301]

Given,
slope(m)=-3/4
y intercept (c)=-5
Then,
equation in slope intercept form is
y=mx+c
or, y=(-3/4)×x+(-5)
or, y=-3/4×x-5

5 0

3 years ago

The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.1 inch. What is the

lidiya [134]

Answer:

25.13274125 in³

Step-by-step explanation:

The radius = 4 ± 0.1

height = 10

Volume of a cylinder = πr²h

Actual volume of the cylinder = π × 4² × 10

= 502.6548246

Maximum volume = π × 4.1² × 10

= 528.1017251

Minimum volume = π × 3.9² × 10

= 477.8362426

Average error = (528.1017251 - 477.8362426)/2

= 50.2654825/2

= 25.13274125 in³

The units are inches cubed.

3 0

3 years ago