Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity postulate? Quadrilateral ABDC, in which point F is between points A and C, point G is between points B and D, point I is between points A and B, and point H is between points C and D. A segment connects points A and D, a segment connects points B and C, a segment connects points I and H, and a segment connects points F and G. Segments AD, BC, FG, and IH all intersect at point E. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then translate point C to point B to confirm∠IBE ≅ HCE. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then dilate ΔCEH to confirm segment EB ≅ segment EC. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then dilate ΔCEH to confirm segment EH ≅ segment EI.

Step-by-step explanation:

John has earned a 77, 76, and 84 on his first three projects of the semester.

He hopes to have an B quiz average (80 or above).

We need to find the lowest score John can make on his fourth and final project. Let the score is x.

Average = sum of numbers/total numbers

[tex]80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83[/tex]

So, he must score 83 or more on his fourth project so as to make average 80 re above.

Answer:

20%

Step-by-step explanation:

trust me

Answer:

You multiply both sides by 4

Step-by-step explanation:

That's why we multiply by 4. Hope this helps

Answer:

multiply by 4

Step-by-step explanation:

Answer:

posistive i think welp hope this helps :D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

3. about 15

4. about 9

5. about 11

Step-by-step explanation:

Trust meh

Answer:

2

Step-by-step explanation:

its just the number under 0 of ur table

[tex]\text{ Hi there! =)}[/tex]

[tex]\large\boxed{n = 15.4}[/tex]

[tex]\frac{11}{10} =\frac{n}{14} \\\\\text{ Cross multiply to solve for n:}\\\\11 * 14 = 10 * n\\\\154 = 10n\\\\n = 15.4[/tex]

Answer:

I think 22.2814177

Step-by-step explanation:

I used 3.14 that's what my teachers tell me to use sorry if it's wrong

Answer: 22.2927232313

Step-by-step explanation: *Pi = 3.14159265359

                                              *3.14159265359 x 2444.57 = 7,679.84315319

                                               *7,679.84315319 ÷ 344.5 = 22.2927232313

    Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)

Answer:

The table is:

x        y

1         1

2        5

3        9

The graph B shows the relationship y=4x-3

Step-by-step explanation:

We need to fill the table using the rule:

To find y multiply x by 4 and then subtract 3.

Writing rule in mathematical form:

y=4x-3

Now for completing the table we need to put x=1,2 and 3 and find values of y

[tex]For x=1//y=4x-3\\ y=4(1)-3\\ y=4-3\\ y=1\\[/tex]

[tex]For \ x=2\\y=4x-3\\ y=4(2)-3\\ y=8-3\\ y=5[/tex]

[tex]For \ x=3\\y=4x-3\\ y=4(3)-3\\ y=12-3\\ y=9[/tex]

So, the table is:

x        y

1         1

2        5

3        9

The graph B shows the relationship y=4x-3

Answer:

145

Step-by-step explanation:

Find the perimeter of the base

5*4=20

Find the surface area of the base

5*5=25

T.S.A.=[tex]\frac{1}{2}[/tex](20)(6)+25   = 145

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (5 x 5) + (1/2 x (5x4) x 6)

= 25 + 60

= 85 ft²

Answer:

B. Investors will have to pay tax on the interest income received from the bonds.

Explanation:

Interest earned from corporate bonds and capital gained through corporate bond transactions is taxable income.  The interest earned from a corporate bond is subject to taxation by both the federal and state governments.

The government will not sell sin Qua corporation bonds as it is a public company.  Bonds do not pay interest quarterly but rather semi-annually or annually.  Again, the maturity of the bond is determined at the time they are issued. Creditworthiness will only affect the bond price but not its maturity period.

Investors will have to pay tax on the interest income received from the bonds is thus the correct statement.

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

[tex]z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25[/tex]

And

[tex]z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}[/tex]

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Answer:

8000

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

We have the expression:

[tex](8+t)^3-6[/tex]

And we want to evaluate it when t=2.

Hence, we will substitute 2 for t and evaluate. Therefore:

[tex]=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994[/tex]

Therefore, our final answer is 994.

Answer:

Step-by-step explanation:

When x=-2; y = -16+12= -4. This means a=-4

When x=-1; y= -2+3 = 1. This means b= 1.

When x=2; y = 16 +12 = 28 . This means c= 28

When x=4; y= 128+48 = 176. This means d= 176

Answer:

it is the 1st one

Step-by-step explanation:

because you have to add up all three sides  because you need 180 then subtract that answer from 180 and you will get your answer

Answer:

option C

Step-by-step explanation:

I hope now it's helped

Answer:

M<E = 62°

Step-by-step explanation:

Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...

(8x-34)°= (5x+2)°

if you drop the parenthesis, you get

8x-34= 5x+2

Then you just solve and simplify it

3x= 36 ----> x= 12

Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°

8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)

5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)

I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.

she has $7.85 in quarters and dimes

quarters = 25c

dimes = 10c

she has 12 more

so, we know she has AT LEAST 12 quarters

25 x 12 = 300 = $3.00

but we also know its not possible for her to have more dimes quarters

( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )

Answer:

The probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=21604\\\sigma=727\\n=193[/tex]

As the sample size is large, i.e. n = 193 > 30 the central limit theorem can be used to approximate the sampling distribution of sample mean per capita income.

Compute the probability that the sample mean would differ from the true mean by less than 36 dollars as follows:

[tex]P(\bar X-\mu<36)=P(\frac{\bar X-\mu}{\sigma_{\bar x}}<\frac{36}{727/\sqrt{193}})\\\\=P(Z<0.69)\\\\=0.7549[/tex]

Thus, the probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.

Answer:

The slope is 0

Step-by-step explanation:

y = mx + b

y = 0x - 4

You can also graph it

Since the graph would be straight, the slope is 0

Answer:

b=-3

Step-by-step explanation:

-9b/-9=37/-9

b=-3

Answer:

3

Step-by-step explanation:

Answer:

the answer is J

Step-by-step explanation:

Answer:H

find the slope

Answer:

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝)  = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative  hypothesis H₁ :  μ ≠ 18.4

Test statistic

              [tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

             [tex]Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }[/tex]

            Z = 1.183

Conclusion:-

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Answer:

A

Step-by-step explanation:

Answer:

i think its E

Step-by-step explanation: