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3 years ago

if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

7 0

Answer:

Supplementary Angle's Theorem

Step-by-step explanation:

The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.

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Kalat bought a dozen bags of bird food for $27. Use compatible numbers to find the approximate cost of six dozen bags of bird fo

Gnoma [55]

Since 12 cost $27, you can use compatible numbers to make it ~$28. So, then for 6, it would cost $14 because you just halve everything. Is that what you are getting at?

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4 years ago

Help please i give brainliest

Ann [662]

Answer:

X+296=285

X=-11

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3 years ago

For each level of precision, find the required sample size to estimate the mean starting salary for a new CPA with 95 percent co

Rzqust [24]

Answer:

(a) Margin of error ( E) = $2,000 , n = 54

(b) Margin of error ( E) = $1,000 , n = 216

(c) Margin of error ( E) = $500 , n= 864

Step-by-step explanation:

Given -

Standard deviation $\sigma$ = $7,500

$\alpha$ = 1 - confidence interval = 1 - .95 = .05

$Z_{\frac{\alpha}{2}}$ = $Z_{\frac{.05}{2}}$ = 1.96

let sample size is n

(a) Margin of error ( E) = $2,000

Margin of error ( E) = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

E = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$E^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{2000^{2}} \times 7500^{2}$

n = 54.0225

n = 54 ( approximately)

(b) Margin of error ( E) = $1,000

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

1000 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}$

n = 216

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

500 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}$

n = 864

7 0

3 years ago

Find the lateral area of the cone in terms of π.

Andreyy89

Answer:

$15\pi\ cm^{2}$

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=3\ cm$

Applying the Pythagoras Theorem find the slant height

$l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm$

substitute in the formula

$LA=\pi (3)(5)=15\pi\ cm^{2}$

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3 years ago

Use matrix addition to solve this equation

REY [17]

Answer:

c11 = 8
c31 = 20
c22 = 14

Step-by-step explanation:

The sum of two matrices is the sum of corresponding terms.

$\left[\begin{array}{ccc}3&1&0\\-1&2&4\\9&7&-2\end{array}\right] +\left[\begin{array}{ccc}5&2&4\\1&12&3\\11&3&-2\end{array}\right] =\left[\begin{array}{ccc}8&3&4\\0&14&7\\20&10&-4\end{array}\right]$

8 0

3 years ago

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if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s​

if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s