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2 years ago

What is the measure of CED

Mathematics

2 answers:

Nataly_w [17]2 years ago

5 0

Answer:

The measure of CED is p degree.

Step-by-step explanation:

In triangle ABC and EDC,

$\angle ABC=\angle EDC=70^{\circ}$ (Given)

$\angle ACB=\angle ECD$ (Vertical opposite angles)

By AA rule of similarity,

$\triangle ABC\sim \triangle EDC$

Corresponding angles of similar triangles are same.

$\angle CAB=\angle CED$

$p=\angle CED$

Therefore the measure of CED is p degree.

Aleks04 [339]2 years ago

3 0

110? It's a supplementary angle.

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Forensic scientists use the equation h=2.6f+47.2 to estimate the height h of a woman given the length in centimeters of her femu

Arte-miy333 [17]

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Step-by-step explanation:

3 0

3 years ago

) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of

Sloan [31]

9514 1404 393

Answer:

$7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

p + d + q = 45 . . . . . . . . there are 45 coins in the collection

2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

p +(p +4) +(2p +5) = 45

4p = 36 . . . . . . . . . . . . . subtract 9

p = 9 . . . . . . . . . . . divide by 4

d = 9 +4 = 13

q = 2(9) +5 = 23

The value of the collection is ...

23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.

5 0

2 years ago

Solve for x:

slava [35]

Answer:

Step-by-step explanation:

Any value of x makes the equation true.

4 0

2 years ago

a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske

Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1600, \pi = 0.4$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315$

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

7 0

2 years ago

(10.5-7)+(4x3) help please

Leno4ka [110]

Answer: 15.5

Step-by-step explanation:

(10.5-7)+(4x3)

following PEDAS we do operations in parentheses first

10.5-7=3.5

4x3=12

we now have 3.5+12 as our intermediate expression

and 3.5+12 = 15.5

8 0

3 years ago

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