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1 year ago

10

Need help asap. Consider the diagram.

2 answers:

FromTheMoon [43]1 year ago

7 0

Question:

<em>Given that r||s and q is a transversal, we know that by the [________].</em>

Answer:

<u>alternate interior angles theorem</u>

fgiga [73]1 year ago

5 0

ANSWER

<em>alternate interior angles theorem</em>

EXPLANATION

According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.

From the above diagram line r is parallel to line s, therefore

$\angle \: 3 \cong \angle6$

and

$\angle \: 4\cong \angle5$

because they are alternate interior angles.

See attachment for how to spot alternate interior angles.

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A room has an area of 121 ft2 but carpeting is only sold in m2. How much carpeting is needed to carpet the room?

kykrilka [37]

The correct answer for the question that is being presented above is this one: "D.)11.24 m2."
First, we need to know the conversion between feet to meters.
1 meter = 3.28 feet
1 meter^2 = 10.7584 ft^2

Given the value of 121 ft^2,
= 121 ft^2 * (1 m^2 / 10.7584 ft^2)
= 11.2470 m^2

7 0

2 years ago

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The GPA of accounting students in a university is known to be normally distributed. A random sample of 20 accounting students re

Vladimir79 [104]

Answer:

The 95% of confidence intervals

(2.84 ,2.99)

Step-by-step explanation:

A random sample of 20 accounting students results in a mean of 2.92 and a standard deviation of 0.16

given small sample size n =20

sample mean x⁻ =2.92

sample standard deviation 'S' =0.16

level of significance ∝ = 0.95

The 95% of confidence intervals

$x^{-} ± t_{\alpha } \frac{S}{\sqrt{n} }$

the degrees of freedom γ=n-1 =20-1=19

t-table 2.093

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} },x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })$

$(2.92 - 2.093(\frac{0.16}{\sqrt{20} } ,2.92+2.093(\frac{0.16}{\sqrt{20} } )$

(2.92-0.0748,2.92+0.0748)

(2.84 ,2.99)

Therefore the 95% of confidence intervals

(2.84 ,2.99)

4 0

2 years ago

Mr robbins earns a commission on each airfare he books. At the end of the day,he had booked $208.60 worth if airfare and earned

LenKa [72]

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

Mr robbins earns a commission on each airfare he books.

At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.

Here

Part value = $31.29

Total value = $208.60

Put in the formula

$Percentage = \frac{31.29\times 100}{208.60}$

$Percentage = \frac{312900}{20860}$

Percentage = 15%

Therefore the Mr. Robins commision rate is 15%.

4 0

2 years ago

\begin{aligned} &2x-3y=-5 \\\\ &4x-4y=-4 \end{aligned} 2x−3y=−5 4x−4y=−4 Is (2,3)(2,3)left parenthesis, 2, comma, 3,

Lilit [14]

Answer:

The correct answer is YES, it is a solution of the system.

Step-by-step explanation:

The system of equations have equations 2x − 3y = −5 and 4x − 4y = −4.

We need to find whether of not (2,3) is a solution to the system of equation.

We multiply the equation 2x − 3y = −5 by 2 and subtract it with the other equation. This gives us,

⇒ 4x - 6y +10 -4x +4y -4 = 0

⇒ 2y = 6

⇒ y = 3.

⇒ x = 2.

Thus ( 2 , 3 ) is the solution.

7 0

2 years ago

6/10= x/100 what does x equal?

VLD [36.1K]

Cross multiply if you know how to do that, if not i can explain it for you :)

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2 years ago

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