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Elenna [48]
3 years ago
7

One-fifth of the students surveyed play music from their cell phones. 65

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0
I believe it’s 325 students.
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If the diagonals of a quadrilateral bisect the angles, is the quadrilateral always a parallelogram? Explain your answer.
Liula [17]
Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.


Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).

Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
6 0
3 years ago
Samantha has 1/3 hour to finish 4 chores if she divides the time equally how much time will she spend on each chore
Artyom0805 [142]

1 hour = 60 minutes

60/3 is 20 minutes

20/4 is 5 minutes

Samantha spends 5 minutes on each chore

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 16+2×36?​
evablogger [386]

Answer:

18\cdot36

Step-by-step explanation:

5 0
3 years ago
A guy wire to a tower makes a 72 degrees angle with level ground. At a point 30 ft farther from the tower than the wire but on t
Andreyy89
So.. checking the picture below

we can say y = y, or just do a substitution and end up with

\bf tan(72^o)=tan(30^o)(30+x)\implies 3.08x=\cfrac{30}{\sqrt{3}}+\cfrac{1}{\sqrt{3}}x
\\\\\\
3.08x-\cfrac{1}{\sqrt{3}}x=\cfrac{30}{\sqrt{3}}\implies 2.5x\approx 17.32\implies x\approx \cfrac{17.32}{2.5}

once you know, how long is "x", then you can simply use the cosine of 72° to get "r"

thus    \bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad cos(72^o)=\cfrac{x}{r}\implies r=\cfrac{x}{cos(72^o)}

6 0
3 years ago
Read 2 more answers
a student wrote this:"A triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism
Y_Kistochka [10]

Answer:  "A triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 cubic inches."

Step-by-step explanation:

<em>"A triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches."</em>

"A triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches."

There is the error, we measure volume in cubic inches.

The writing should read- "A triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 cubic inches."

6 0
3 years ago
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