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Vladimir79 [104]
2 years ago
7

Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CDB 40 points

Mathematics
1 answer:
leonid [27]2 years ago
7 0

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

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allochka39001 [22]

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2 years ago
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive
gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p}  = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students  believe that they will find a job immediately after graduation= 3099

Then,  \hat{p}=\dfrac{3099}{3597}\approx0.8616

We know that , Critical value for 99% confidence interval = z*=2.576  (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}

0.8616\pm (2.576)\sqrt{0.0000331513594662}

\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

4 0
3 years ago
Find the missing lengths in the triangle. round to the nearest tenth if necessary
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Answer:

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Step-by-step explanation:

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Variable y must then represent x\sqrt{3} for x=4, yielding y=4\sqrt{3}\approx \boxed{6.9}

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Answer:

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Step-by-step explanation:

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