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Black_prince [1.1K]
3 years ago
5

Mark the givens in the diagram then solve the problems. Given: AB=BD, AC=CD, HE=HG, HF⊥EG. Prove: ΔABC ≅ Δ DBC, Δ EHF≅Δ GHF

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

AB=BD    Given

AC=CD    Given

BC=BC     Reflexive property

ABC=DBC   By SSS

HE=HG    Given

HF perp. to EG   Given

HF=HF    Reflexive property

EHF=GHF by the hypotenuse leg thm.

Step-by-step explanation:

complete the proof

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If a =6, what is the value of 2a(3b + 5c)?
leva [86]

Answer:

<h2>36b + 60c</h2>

Step-by-step explanation:

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a company pays its salespeople $2,000 a month and a commission of 18% of their total sales (T). which of the following equations
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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
allochka39001 [22]

Answer:

a) The test statistic is z = -2.51

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

H_a: p_{B} - p_{NY} < 0

While the null hypothesis is:

H_0: p_{B} - p_{NY} = 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that X = 0.581 - 0.832 = -0.251

0 is tested at the null hypothesis:

This means that \mu = 0

Standard error = 0.1

This means that s = 0.1

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-0.251 - 0}{0.1}

z = -2.51

The test statistic is z = -2.51

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

5 0
3 years ago
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