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sineoko [7]
3 years ago
11

For which value of x is line l parallel to line m?A. 28B. 62C. 22D. 68​

Mathematics
1 answer:
Rudiy273 years ago
3 0

For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}

And we are done !!

#CarryOnLearning....

<u>━━━━━━━━━━━━━━━━━━━━</u>

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The Grand Canyon Skywalk at Eagle Point is a horseshoe shaped steel frame with a glass floor looking down to the Grand Canyon be
yulyashka [42]

Answer: It will be needed 864 square feet of glass to cover the Skywalk floor.

Step-by-step explanation: The figure below shows the area in question.

Area of a circle is given by

A=\pi.r^{2}

The walkway is a semicircle. Then, area will be:

A=\frac{\pi.r^{2}}{2}

The area that will be covered with glass is the area between the outer and the inner circles. So, area is

A_{t}=A_{outer}-A_{inner}

A_{t}=\frac{\pi.r_{o}^{2}}{2}- \frac{\pi.r_{i}^{2}}{2}

A_{t}=\frac{\pi}{2}(32.5^{2}-22.5^{2})

A_{t}=\frac{\pi}{2}(550)

A_{t}= 864

<u>To cover the Skywalk floor is needed </u><u>864</u>ft^{2}<u> of glass</u><u>.</u>

4 0
3 years ago
Mr.George divided his money in the ratio 2:6 between Evan and ricky.Evan got the smaller amount of $420. How much did ricky rece
Gemiola [76]
Ratios are like fractions in the way that you can simplify them if they have common factors.
we can simplify this ratio to 
1:3
that means that the bigger part got 3 times the amount of the smaller part. The problem says that Evan got the smaller amount, so if we multiply the smaller amount by 3 we should and will get the bigger amount. It says that $420 is the smaller part.
420*3=1260
so the bigger amount of money is $1260
So, because Ricky got the bigger part of Mr. George's money, he must have received
$1260<span />
6 0
3 years ago
Princess Poly claims that the equation (3x−4i)(7x−8)(3x+4i)=0 has three roots, a real root and a complex root with a multiplicit
Serjik [45]

Given equation:

(3x-4i)(7x-8)(3x+4i)=0

i.e., 3x-4i=0       and       7x-8=0       and       3x+4i=0

i.e., 3x=4i       and       7x=8       and       3x=-4i

i.e., x=\frac{4i}{3}       and       x=\frac{8}{7}       and       x=-\frac{4i}{3}

Therefore, the given equation has a real root i.e., x=\frac{8}{7}

and two complex conjugate roots i.e., x=\frac{4i}{3} and x=-\frac{4i}{3}

Hence, option C is correct.

4 0
3 years ago
Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS
Ainat [17]

Answer: 126^{\circ}

Step-by-step explanation:

If we draw RP and PS, then in the quadrilateral formed, we know that \angle PRQ=\angle PSQ=90^{\circ}, and since angles in a quadrilateral add to 360 degrees, this means \angle SPR=126^{\circ}.

Thus, arc RS also measures 126 degrees

8 0
2 years ago
What is the ratio (multiplier) of the following geometric sequence? 4, 2, 1, 0.5, . . .
Fantom [35]
Its either gonna be 1/2 or 0.5
7 0
3 years ago
Read 2 more answers
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