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Kaylis [27]
3 years ago
15

Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?

Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

Options (C)

Step-by-step explanation:

For the congruence of the triangles ΔADB and ΔADC,

                Statements                             Reasons

1). AB ≅ AC                                   1). Given

2). AD ≅ AD                                 2). Reflexive property

3). ∠BAD ≅ ∠CAD                       3). Given

4). ΔABD ≅ ΔCAD                       4). SAS postulate

Therefore, Options (C) will be the correct option.

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For a fund-raiser, Anthony earns $5 for the first mile he runs, an additional $7 for the second mile, an additional $9 for the t
mel-nik [20]

Answer:

He will earn $140, my bad miss calculated...

Step-by-step explanation:

Its 140....

8 0
3 years ago
Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in
andreyandreev [35.5K]
On average one tank holds 108 gallons because 432.4 divided by 4 is 108.1. One half full tank would hold about 54 gallons (54.05 to be exact) because half of 108.1 gallons (a full tank) is 54.05 gallons.
3 0
3 years ago
Read 2 more answers
The track and field coach records Ian's 400-meter race times during three practices. How much greater was the percent of change
BigorU [14]

Answer:

d.  1.5%

Step-by-step explanation:

Given - The track and field coach records Ian's 400-meter race times during three practices.

Practice        1          2           3

Time (s)         63       60        58

To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.

a. 7.9%

b.  4.8%

c.  3.3%

d.  1.5%

Proof -

% change from Practice 1 to Practice 2 change = \frac{60 - 63}{63}. 100%

                                                                           = -\frac{3}{63}.100% = - 4.761904762 %

⇒% change from Practice 1 to Practice 2 change = - 4.762 %

Now,

% change from Practice 2 to Practice 3 change = \frac{58 - 60}{60}. 100%

                                                                           = -\frac{2}{60}.100% = - 3.334 %

⇒% change from Practice 2 to Practice 3 change = - 3.3334 %

So,

- 4.461904762% - (- 3.3334%) = -4.461904762 + 3.3334 % = -1.4285 % ≈ 1.5%

∴ we get

Value = 1.5%

The correct option is - d.  1.5%

4 0
3 years ago
IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?
Bumek [7]

The probability of the union of two events is the sum of their probability, minus the probability of their interserction:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

If we plug the known values into this formula, we have

\dfrac{3}{5} = \dfrac{1}{3} + \dfrac{2}{5} - P(A\cap B)

From which we can deduce

P(A\cap B) = \dfrac{1}{3} + \dfrac{2}{5} - \dfrac{3}{5} = \dfrac{2}{15}

So, the probability of A \setminus B is a bit less than P(A), we have to take away all events that belong to B as well:

P(A \setminus B) = P(A) - P(A\cap B) = \dfrac{1}{3} - \dfrac{2}{15} = \dfrac{1}{5}

3 0
3 years ago
In November 2010 the average price of 5 gallons of regular unleaded gasoline in the United states was $14.46. what was the price
Lapatulllka [165]

Propecia:

5 gallons ====== $ 14.46.

16 gallons ======= x dollars

X=16*14.46: 5=46.27  

Answer: $ 46.27.

3 0
3 years ago
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