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defon
2 years ago
10

Using the diagram below, what is the measure of ZE?

Mathematics
1 answer:
matrenka [14]2 years ago
7 0

The measure of angle E is (b) 50°

<h3>How to determine the angle measure?</h3>

The given parameters are:

  • ΔCAB is similar to ΔCED
  • AB and ED are parallel

The similarity of the triangles implies that:

  • angle C = angle C
  • angle A = angle E
  • angle B = angle D

From the figure, we have:

angle A = 50

Substitute angle A = 50 in angle A = angle E

angle E = 50

Hence, the measure of angle E is (b) 50°

Read more about similar triangles at:

brainly.com/question/14285697

#SPJ1

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Subtract.<br>(4x^2 + 8x - 2) - (2x^2 - 4x + 3)<br>Enter your answer, in standard form.​
vovikov84 [41]

Answer:

\large\boxed{(4x^2 + 8x - 2) - (2x^2 - 4x + 3)=2x^2+12x-5}

Step-by-step explanation:

(4x^2 + 8x - 2) - (2x^2 - 4x + 3)\\\\=4x^2 + 8x - 2 -2x^2 -(- 4x)- 3\\\\=4x^2+8x-2-2x^2+4x-3\qquad\text{combine like terms}\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=2x^2+12x-5

5 0
3 years ago
Luisa reads 2 pages of her book every minute. At this rate, how many hours will it take for her to read 300 pages? (60 minutes =
sergeinik [125]
2 pages per minute
300/2 =150 minutes into hours that is 2 hours and 30 minutes which directly into hours is 2.5 hours
7 0
3 years ago
Use prime factorization to reduce each fraction 1. 22/165 2. 35/210
yKpoI14uk [10]

Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

The prime factorization of the number 22 is:

22=2\times11

Similarly, for 165, 35 and 210 we have

\begin{gathered} 165=3\times5\times11 \\ 35=5\times7 \\ 210=2\times3\times5\times7 \end{gathered}

Then, we can solve the given questions.

Question 1.

\frac{22}{165}=\frac{2\times11}{3\times5\times11}

so we can cancel out the number 11 and get

\frac{22}{165}=\frac{2}{3\times5}=\frac{2}{15}

Then, the answer is

\frac{2}{15}

Question 2.

\frac{35}{210}=\frac{5\times7}{2\times3\times5\times7}

and we can cancel out the number 5 and 7, then we obtain

\frac{35}{210}=\frac{1}{2\times3}

then, the answer is

\frac{1}{6}

5 0
1 year ago
Write the equation of a line with a slope of -2 and a y-intercept of -5. Do not use spaces in your response. *
Mamont248 [21]

Answer:

y=-2x-5

Step-by-step explanation:

4 0
3 years ago
This table shows the population of owls in a park in different years.
Flauer [41]

Answer:

Option (C).

Step-by-step explanation:

Table represents the population of the owls in a park in different years and the quadratic regression equation that models the data of the table is,

y = -1.34x² + 10.75x - 11.3

Where y = number of owls

x = year

y = -1.34(9)² + 10.75(9) - 11.3

  = -108.54 + 96.75 - 11.3

  = -23.09

  ≈ -23

But Number of owls can't be negative.

Therefore, Option C. will be the answer.

6 0
3 years ago
Read 2 more answers
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