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3 years ago

if line AB is a diameter of circle O that bisects chord line CD at point E, which of the following statements is true?

Mathematics

1 answer:

HACTEHA [7]3 years ago

5 0

Answer:

A: The chord is perpendicular to the diameter

Proof:

CE=DE (definition of bisector)

Center O, so OC and OD are radii.

OC=OD.

OE=OE.

OCE=ODE (SSS)

angle OEC = angle OED (corresponding parts)

angle OEC and angle OED are supplementary

So angle OEC and angle OED are both right angles.

CD is perpendicular to OE

CD is perpendicular to AB

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I don't kind fast food sells large burgers for five dollars each and french fries for three dollars each that day they sold six

lesya692 [45]

Answer:

They sold 16 French fries.

Step-by-step explanation:

Let x represent the number of large burgers that they sold on that day.

Let y represent the number of French fries that they sold on that day.

fast food sells large burgers for five dollars each and french fries for three dollars each that day and their total sales was $98.It means that

5x + 3y = 98 - - - - - - - - - - - - - -1

they sold six more french fries than burgers. It means that

y = x + 6

Substituting y = x+ 6 into equation 1, it becomes

5x + 3(x + 6) = 98

5x + 3x + 18 = 98

8x = 98 - 18 = 80

x = 80/8 = 10

y = x + 6 = 10 + 6

y = 16

4 0

3 years ago

If you place a 17 foot ladder against the top of a 8 foot building how many feet will the bottom of the ladder be from the botto

KatRina [158]

9 because if you subtract 17 from 8 you will get 9 I hope this works :)

7 0

3 years ago

Read 2 more answers

Please Help!! This is Geometry.

dolphi86 [110]

If M is the midpoint of PQ, then PM and MQ are equal.

As PM and MQ are given , equal them to each other to solve for x.

7x+8=5x+20

Subtract 5x on both sides to get 2x+8=20

Subtract 8 on both sides to get 2x=12

divide by 2 on both sides to get x=6

Use the value of x=6 and plug it into the equations for PM and MQ to find their value.

PM=7x+8

=7(6) 8 =42 + 8 = 50

(you can already tell MQ is also 50 as PM and MQ are equal, but we still solve for MQ just for the fun of it)

MQ=5x + 20

=5(6) +20=30+20=50

PM=50

MQ=50

PQ= PM + MQ= 50 + 50 = 100

Have a great night.

7 0

3 years ago

An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same

Andru [333]

General Idea:

The volume of cylinder is given by $\pi r^{2} h$ , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder $=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}$

Volume of half cylinder $=\frac{576\pi }{2} =288\pi cm^{3}$

Step 2: Let x be the number of minutes of filling the sand.

$6 cm^{3}$ of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute $= 6*4 cm^{3} = 24 cm^{3}$ .

$8 cm^{3}$ of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute $=24 cm^{3} - 8cm^{3}=16cm^{3}$

Volume of sand filled in x minutes $= 16x$ .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

$16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes$

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0

3 years ago

The law of gear reduction states that there’s always a decrease in the _______ of the output member, which is proportional to an

DerKrebs [107]

The law of gear reduction states that there’s always a decrease in the ratio of the output member, which is proportional to an increase in output torque.

7 0

3 years ago