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3 years ago

22. If triangle DEC equals about triangle BEC, which is true by CPCTC?

Mathematics

2 answers:

galben [10]3 years ago

7 0

Answer with explanation:

→Triangle DEC equals about Triangle B EC.

⇒The meaning of equal here,is that both the triangles that is, ΔDEC ≅ ΔB EC.

≡When Triangles are congruent,their corresponding sides and angles are equal .

Corresponding Sides which are equal by C P C TC:

1. BE = DE

2.BC =CD

3.EC, is Common.

Corresponding angles which are equal by C P C TC are:

1. ∠B EC=∠DEC

2. ∠ D CE=∠B CE

3.∠ E B C= ∠ E D C

Option A: ⇒Angle E BC equals about angle E DC

Kruka [31]3 years ago

4 0

<span>D. Line AE equals about line ED because if you measure line AE it is the same length as line ED</span>

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The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a

patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ± $Z_{1-\alpha /2}$ * √[(^ρ(1-^ρ))/n]

$Z_{1-\alpha /2}$ = $Z_{0.995}$ = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0

3 years ago

M is between points C and Q. CM=17 and CQ=21. What is MQ?

katrin2010 [14]

Sometimes it helps to draw it out...

(17)
C_______M_________Q
|___________________|
21

therefore, CM + MQ = CQ
17 + MQ = 21
MQ = 21 - 17
MQ = 4 <===

8 0

3 years ago

Read 2 more answers

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively: