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2 years ago

If line n bisects CE find CD

Mathematics

2 answers:

Gekata [30.6K]2 years ago

7 0

If it bisect, then using the Line Bisector Theorem, it must be equal.
So x+6=4x-21
get like terms on 1 side
x+6=4x-21
-x. +21
27= 3x
x=9
plug the x in
CD= 9+6
CD=15

Likurg_2 [28]2 years ago

3 0

Answer:

$CD=15$

Step-by-step explanation:

We have been given a diagram. We are asked to find the measure of segment CD.

Since line n bisects line segment CE, so measure of segment CD will be equal to measure of segment DE.

$DE=CD$

$4x-21=x+6$

$4x-21+21=x+6+21$

$4x=x+27$

$4x-x=x-x+27$

$3x=27$

$\frac{3x}{3}=\frac{27}{3}$

$x=9$

$CD=x+6$

$CD=9+6$

$CD=15$

Therefore, the length of segment CD is 15 units.

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The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

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