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Snowcat [4.5K]
2 years ago
10

Select the correct answer from each drop-down menu. Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, sho

wn in the figure. Find the measure of each angle of polygon ABCDE. m∠ABC = ° m∠BCD = ° m∠DEA = ° m∠CDE = °

Mathematics
1 answer:
Umnica [9.8K]2 years ago
6 0

Answer and Step-by-step explanation:

As it is mentoned in the question

Polygon ABCDE rotates around point F in clockwise direction to create polygon FGHIJ

And as we can see in the figure that

So we conclude that

A = F ⇒ 117°

B = G ⇒ 90°

C = H ⇒ 127°

D = I ⇒ 90°

E = J ⇒ 117°

Therefore this is the answer and the same is to be considered

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A certain shade of green paint is made from 5 parts yellow mixed with three parts blue if 2 cans of yellow are used how many can
wariber [46]
Because the ratio of yellow to blue can be expressed as 5/3, you would solve the equation 5/3= 2/x. To solve, you would get x alone by cross multiplying and getting 5x=6. Divide both sides by 5 and get 6/5 or 1 and 1/5 cans of blue paint
5 0
2 years ago
The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

7 0
2 years ago
Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Sal
Sever21 [200]

ANSWER

The explicit rule is

f(n) = 45+9n

EXPLANATION

The given sequence is :

54,63,72,81,...

The first term of this sequence is

a = 54

The common difference is

d =63 - 54 = 9

The explicit rule is given by:

f(n) = a + d(n - 1)f(n) = 54+9(n -1 )

We expand to get:

f(n) = 54+9n -9

f(n) = 45+9n

None of them is correct .

8 0
2 years ago
In ΔPQR, p = 220 inches, q = 890 inches and ∠R=121°. Find the length of r, to the nearest inch.
Veronika [31]

Answer:

1021

Step-by-step explanation:

delta math said it was right

6 0
2 years ago
Determine the area of squre ABCD with AB=3cm<br>​
Travka [436]

Answer:

Area: 9 cm^{2}

Step-by-step explanation:

Since all sides of a square have equal lengths, the area of the square is a^{2} (a = length of a side).

Since the length of the side of the square is given (is 3cm), the area of the square is (3cm)^{2} =  9cm^{2}

8 0
1 year ago
Read 2 more answers
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