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3 years ago

Which postulate proves that △ABC and △EDC are congruent?

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

The correct answer is SAS.

It's given that BC is congruent to CD and AC is congruent to CE. And by Vertical Angles theorem, Angle BCA is congruent to DCE.

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Can someone. help me solve this pls .

olchik [2.2K]

Answer:

1.108

$729 = {n}^{6} \\ \sqrt[6]{729} = \sqrt[6]{ {n}^{6} } \\ n = 1.108$

7 0

3 years ago

How many terms are in the simplified expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2

Vilka [71]

there are 6 terms in the simplified expression

4 0

3 years ago

Read 2 more answers

A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th

NikAS [45]

<h2>Answer:</h2>

$6\frac{1}{2}$ <u>, "six and one over two ft".</u>

<h2>Step-by-step explanation:</h2>

Let's considerate the fact that the garden has a <u>square shape</u>.

<h3>1. Finding values of interest.</h3>

Amount of fence that the gardener already has: $4\frac{1}{2}$ ft.

Length of one side: $2\frac{3}{4}$ ft.

If one side measures $2\frac{3}{4}$ ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:

$4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11$

The gardener already has $4\frac{1}{2}$ , which equals $4 + \frac{1}{2}$ . Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:

$11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}$

<h3>3. Express your result.</h3>

$\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}$

8 0

2 years ago

Find the solution of the system of equations. <br>7x -- 8y = -23<br>7x – 7y = -14<br><br>(?,?)

gtnhenbr [62]

Answer:

(7,9)

Step-by-step explanation:

6 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

<u><em>Let </em></u> $\mu$ <u><em> = mean filling of bags by the machine.</em></u>

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, <u><em>test statistics</em></u> = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago