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3 years ago

Two column proof:

Mathematics

1 answer:

gulaghasi [49]3 years ago

8 0

Answer:

Given : BRDG is a kite that is inscribed in a circle,

With BR = RD and BG = DG

To prove : RG is a diameter

Proof:

Since, RG is the major diagonal of the kite BRDG,

By the property of kite,

∠ RBG = ∠ RDG

Also, BRDG is a cyclic quadrilateral,

Therefore, By the property of cyclic quadrilateral,

∠ RBG + ∠ RDG = 180°

⇒ ∠ RBG + ∠ RBG = 180°

⇒ 2∠ RBG = 180°

⇒ ∠ RBG = 90°

⇒ ∠ RDG = 90°

Since, Angle subtended by a diameter or semicircle on any point of circle is right angle.

⇒ RG is the diameter of the circle.

Hence, proved.

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2 years ago

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Answer:

Step-by-step explanation:

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1, 4, 7, 7, 8

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27 is dividable by 3, therefore any combination will result a number with a factor of three.

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3 years ago

A recipe includes 66 cups of flour and two thirds 2 3 cup of buttermilkbuttermilk. Write the ratio of the amount of flour to the

beks73 [17]

Answer:

The ratio of the amount of flour to the amount of buttermilk=99:1

Step-by-step explanation:

Step 1: Determine quantity for each recipe

Quantity of flour=66 cups

Quantity of buttermilk=2/3 cups

Step 2: Calculate the total quantity of recipe

The expression for the total quantity is;

T=f+b

where;

T=total quantity of recipe

f=quantity of flour

b=quantity of buttermilk

In our case;

T=unknown

f=66 cups

b=2/3 cups

replacing;

T=(66)+(2/3)=66 2/3 cups

Step 3: Determine fraction of each

fraction of buttermilk=(2/3)/(66 2/3)=1/100

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Step 4: Determine ratio of flour to buttermilk

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2 years ago

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Answer:

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3 years ago

At noon, a barista notices she has $20 in her tip jar. If she makes an average of $0.50 from each customer, how much will she ha

RSB [31]

Answer:

She has $20 + $0.50n in her tip jar.

Step-by-step explanation:

Amount in tip jar at noon = $20

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Therefore, we have:

Additional amount made after noon = Average amount made from each customer * Number of additional customers served after noon = $0.50 * n = $0.50n

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Therefore, she has $20 + $0.50n in her tip jar.

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2 years ago