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2 years ago

Which of the following completes the proof?

Mathematics

2 answers:

mihalych1998 [28]2 years ago

4 0

Answer:

Step-by-step explanation:

masha68 [24]2 years ago

3 0

Answer:

ITS EITHER A or D

Step-by-step explanation:

my question for the test is

Given: Segment AC is perpendicular to segment BD

Prove: ΔACB ~ ΔECD

Reflect ΔECD over segment AC. This establishes that ________. Then, translate point E' to point A. This establishes that ________. Therefore, ΔACB ~ ΔECD by the AA similarity postulate.

∠ABC ≅ ∠E'D'C'; ∠E'D'C' ≅ ∠ABC

∠ACB ≅ ∠E'C'D'; ∠D'E'C' ≅ ∠BAC

∠ACB ≅ ∠E'C'D'; ∠E'D'C' ≅ ∠ABC

∠ABC ≅ ∠E'D'C'; ∠D'E'C' ≅ ∠BAC

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Gwen buys 3 identical pairs of shoes at Store a. She pays $110.25 after the discount. what is the original price of each pair?

emmasim [6.3K]

In perspective this looks tricky but really its no ;) just follow it slowly.
110.25 is your total cost
3 is how many you bought.
So doing division 3/110.25= 36.75
CHECK: 36.75 + 36.75 + 36.75 = 110.25.
Hope this helps.

5 0

2 years ago

Read 2 more answers

Point F is on circle C. What is the length of line segment GF? 12.5 units 15.0 units 17.5 units 20.0 units

geniusboy [140]

The answer:
According to the image, <span>the length of line segment GF can be found with
</span>GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5

therefore, GF= GC +CF=12.5+7.5=20

so the answer is <span>20.0 units</span>

7 0

2 years ago

8.3.7 From the data on the pH of rain in Ingham County, Michigan: 5.47 5.37 5.38 4.63 5.37 3.74 3.71 4.96 4.64 5.11 5.65 5.39 4.

Step2247 [10]

Answer:

95% Confidence Interval: 4.7 ± 1.57

3 0

2 years ago

The Office of Student Services at UNC would like to estimate the proportion of UNC's 34,000 students who are foreign students. I

Pachacha [2.7K]

Answer:

Mean is 3.05

Standard deviation is 1.69.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The probability of x sucesses on n repeated trials, with p probability.

In this problem, we have a sample of 50 students, so $n = 50$ . The proportion of all UNC students that are foreign students is 0.061, so $p = 0.061$ .

The mean is given by the following formula:

$E(X) = np = 50*0.061 = 3.05$

The standard deviation is given by the following formula:

$\sigma = \sqrt{n*p*(1-p)} = \sqrt{50*0.061*(1-0.061))} = 1.69$

6 0

2 years ago

Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t

jasenka [17]

Answer:

a. 30%

b. $893.59

$\frac{(351.10-x)}{893.59}\times 100\%$

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the percent of the flooring bill that will go towards the cost of labor:

$\% labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%$

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

$F_c=212.52+427.35+75\\\\=714.87$

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

$Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59$

Hence, she spends $893.59 on furniture.

c.To get what percentage of furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

$x+y=Furniture\ cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x$

The percentage is then calculated as:

$\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%$

Hnece the percentage cost of the night stand is $\frac{(351.10-x)}{893.59}\times 100\%$

7 0

2 years ago