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3 years ago

Given: △OKE∼△VDE Prove: EK/EO = ED/EV

Mathematics

1 answer:

harkovskaia [24]3 years ago

6 0

Answer:

The proof is below.

Step-by-step explanation:

Given two triangles similar.

we have to prove that ratio $\frac{EK}{EO}=\frac{VE}{ED}$

As, △OKE∼△VDE

∴ their corresponding sides are in same proportion.

$\frac{OK}{VD}=\frac{EK}{ED}=\frac{OE}{VE}$

⇒ $\frac{EK}{ED}=\frac{EO}{VE}$

⇒ [tex}\frac{EK}{EO}=\frac{VE}{ED}[/tex]

Hence Proved.

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find the constant m and b in the linear function f(x)=mx+b so that f(6)=9 and the straight line represents by f has slope -4

Charra [1.4K]

Answer:

The constant m=-4, and b=33

Step-by-step explanation:

F(x)= MX+b

If f(6)=9 then x=6, m= -4

9= -4(6) + b

9= -24 + b

b= 9 + 24

b= 33

Therefore the constant m, which is the slope is -4 and b which is the intercept is 33

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3 years ago

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e

ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

Sample mean = $\overline{x}$
Sample size = n
Population mean = $\mu$
Sample standard deviation = s

Then, we get:

$z = \dfrac{\overline{x} - \mu}{s}$

If the sample standard deviation is not given, then we can estimate it(in some cases) by:

$s = \dfrac{\sigma}{\sqrt{n}}$

where $\sigma$ population standard deviation

For this case, we're specified that:

Sample mean = $\overline{x}$ = 2.3
Sample size = n = 15
Population mean = $\mu$ = 2.7
Population standard deviation = $\sigma$ = 0.4

Thus, the value of the z-statistic is evaluated as:

$z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87$

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

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3 years ago

You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?

gizmo_the_mogwai [7]

The area of the trampoline is mathematically given as

a = 3.14

Question Parameters:

You found one online that has a circumference of 6.28 yards

Generally, the equation for the Circumference is mathematically given as

C = 2*pi*r

Thererfore

6.28 = 2*3.14*r

r = (6.28)/(6.28)

r = 1

In conclusion, where radius is

$a= pi*r^2$

a = 3.14*1^2

a = 3.14