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postnew [5]
2 years ago
13

Determine the length of CD. Show your work.

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

The length of line CD is 20. 9

<h3>How to determine the length</h3>

Note that triangle CDY is an isosceles triangle

Using the Pythagoras theorem

Hypotenuse square = opposite square + adjacent square

Hypotenuse = line CD

opposite = 20

Adjacent = 6

Substitute into equation

Line CD^2 = 20^2 + 6^2

Line CD^2 = 400 + 36

Line CD^2 = 436

Make line CD^2 subject by find the square root of the other side

Line CD = \sqrt{436}

Line CD = 20.9

Therefore, the length of line CD is 20. 9

Learn more about Pythagorean theorem here:

brainly.com/question/231802

#SPJ1

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Please help this is due in tomorrow you dont have to answer all questions
Kisachek [45]

Answer:

1 is multiplication

2 is division

3 is parentheses

4 is exponents

5 is parentheses

6 is exponents

7 is G.

8 is F.

9 is H.

10 is A.

11 is C.

12 is E.

13 is D.

14 is B.

Step-by-step explanation:

PEMDAS

parentheses

exponents

multiplication

division

addition

subtraction

do it in that order. but multiplication and division are on the same level so whichever comes firsts gets solved first and addition and subtraction are on the same level so whichever that come first gets solved first

7 0
3 years ago
​ Quadrilateral ABCD ​ is inscribed in this circle.
Ilya [14]
Hello,

When you have an inscribed quadrilateral, the opposite sides are supplementary.

So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157

The measure of angle B is 157 degrees. (The picture is not drawn to scale)

Good luck,
MrEQ
3 0
3 years ago
Is it likely that the next 50 Sunday customers will spend an average of at least​ $40? Explain. Choose the correct answer below​
Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least​ $40 is P=0.0023.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least​ $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least​ $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83

Then, we calculate the z-score

z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83

The probabilty can be calculated then as:

P(X_{50}>40)=P(z>2.83)=0.0023

5 0
3 years ago
Given the following functions f(x) and g(x), solve (f+g)(2) and select the correct answer below:
Anika [276]

Answer:

B

Step-by-step explanation:

In the picture above

Hope this helps.

3 0
3 years ago
2x+y=70<br> 2y+z=110<br> x+y+z=?
Alexeev081 [22]
No solution
Because 3 unknown needs 3 equation at least
7 0
3 years ago
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