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3 years ago

In the figure below, segment AC is congruent to segment AB:

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

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What is the volume of this sphere?

PIT_PIT [208]

12 cubic feet!! this may be it

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3 years ago

Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach

marta [7]

Apples = $.30
Peaches = $.60

You can get this by setting up a system of equations that looks like this.

2x + 3y = 1.65
3x + 2y = 1.60

Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease).

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3 years ago

Would you rather discover alien life or an animal that was thought to be extinct?

Vikentia [17]

$\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}$

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The reason i say this is because i don't really want to run into something that i don't know much about. I do know quite a bit about extinct animals more than i do aliens. So, that's my reasoning.

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

$\boxed{Hope\;i\;helped!}\\\\\boxed{Thanks,\;AnimeBrainly}$

3 0

3 years ago

The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.

laiz [17]

Answer:

208.82 ; 61.33

Step-by-step explanation:

Given the data:

Year Quarter Profit ($1000s)

1 1 45

1 2 51

1 3 72

1 4 50

2 1 49

2 2 45

2 3 79

2 4 54

3 1 42

3 2 58

3 3 70

3 4 56

The 3 period moving average :

Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²

1 _ 1 ___45 __

1 _ 2 __ 51 __

1 _ 3 __ 72 __

1 _ 4 __ 50 ______________56 ____ 36

2 _ 1 __ 49 ______________57.67__ 75.17

2 _ 2__ 45 ______________57 ____ 144

2 _ 3__ 79 ______________48 ____961

2 _ 4__ 54 ______________57.67 _ 13.47

3 _ 1__ 42 ______________59.33__300.33

3 _2 __ 58 ______________58.33__ 0.11

3 _ 3__ 70 ______________51.33__ 348.57

3 _ 4 __56 ______________56.67__0.45

MSE = Σ(Pt - Ft)² ÷ n

MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9

= 208.82

Forecast for next quarter :

(58 + 70 + 56) / 3 = 184 /3 = 61.33

8 0

3 years ago

Tony bought a car for $1150. It needed some work so Tony spent $740 in repairs. He sold it once his repairs were complete for $3

dalvyx [7]

Answer:

It would be a profit of $1,310

Step-by-step explanation:

8 0

3 years ago