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Vikki [24]
2 years ago
5

Find the value of xd:6​

Mathematics
2 answers:
Scorpion4ik [409]2 years ago
5 0
Answer: D) 6

Step-by-Step Solution:

We know, (5x)° and (3x + 12)° are Vertically Opposite Angles and Vertically Opposite Angles are Equal.

Therefore,
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
=> x = 6

Therefore, x = 6
Phantasy [73]2 years ago
3 0

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve for x ~

\qquad \sf  \dashrightarrow \: 5x = 3x + 12

[ by vertical opposite angle pair ]

\qquad \sf  \dashrightarrow \: 5x - 3x = 12

\qquad \sf  \dashrightarrow \: 2x = 12

\qquad \sf  \dashrightarrow \: x = 12 \div 2

\qquad \sf  \dashrightarrow \: x = 6

Therefore, the correct choice is D. 6

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Step-by-step explanation:

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3 years ago
A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement i
Svetach [21]

Answer:

Option B. 11.78\ in^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3} \pi r^{2}h

we have

r=1.5\ in

h=5\ in

substitute

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3 years ago
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For an Isosceles triangle of base b and congruent sides, x units long, what is the range of angle measures for the angle measure
olga2289 [7]

Answer:

the desired range is 0° < angle < 180°

Step-by-step explanation:

If 2x were just slightly less than b, then the angle opposite the base would be just less than 180 degrees.

The larger the value of x, the further the intersection of the two congruent sides is moved away from the base b.  The angle between these two congruent sides would approach but never equal zero.

Thus, the desired range is 0° < angle < 180°

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