All categories

2 years ago

In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?

Mathematics

1 answer:

lawyer [7]2 years ago

4 0

Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

You might be interested in

If 433 = 100% then what percent does 383 equal

Goryan [66]

Answer:

88.46%

Step-by-step explanation:

433 - 383 = 50

50 ÷ 433 = 0.1154

0.1154 x 100 = 11.54%

100% - 11.54% = 88.46%

<u>Check work:</u>

433 x 88.46% = 383

5 0

2 years ago

Write a subtraction problem that involves two positive integers and has a negative answer

Phantasy [73]

Answer:

15-16=-1

Step-by-step explanation:

8 0

3 years ago

1 1/10 divided by 1 1/5

Black_prince [1.1K]

Answer:

11/12

Step-by-step explanation:

(1 1/10)/(1 1/5) = 1.1/1.2 = 11/12

You can also work this using improper fractions:

(1 1/10)/(1 1/5) = (11/10)/(6/5) = 11/10×5/6 = (11×5)/(6×10)

= (11×5)/(6×2×5) = 11/(6×2) = 11/12

6 0

2 years ago

Read 2 more answers

A fire department in a rural county reports that its response time to fires is approximatelyNormally distributed with a mean of

____ [38]

Answer:

Option C) 0.25

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22 minutes

Standard Deviation, σ = 11.9 minutes

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

Formula:

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

P(response times is over 30 minutes)

P(x > 30)

$P( x > 30) = P( z > \displaystyle\frac{30 - 22}{11.9}) = P(z > 0.6722)$

$= 1 - P(z \leq 0.6722)$

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

$P(x > 30) = 1 - 0.749= 0.251 = 25.1\%$

Thus, the correct answer is

Option C) 0.25

3 0

2 years ago

Read 2 more answers

Use the net as an aid to compute the surface area of the triangular prism.

Harrizon [31]

Answer:

Option C. $564\ mm^{2}$

Step-by-step explanation:

we know that

The surface area of the triangular prism using the net is equal to the area of two triangles plus the area of three rectangles

$SA=2(\frac{1}{2})(10)(12)+2(13)(14)+(10)(14)$

$SA=60+364+140$

$SA=564\ mm^{2}$

4 0

3 years ago

Read 2 more answers