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pychu [463]
2 years ago
11

Is triangle XYZ = ABC ? If so, name the postulate that applies. A. Congruent - ASA B. Congruent - SAS C. Might not be congruent

D. Congruent - SSS

Mathematics
1 answer:
vivado [14]2 years ago
6 0
The answer is the SAS postulate. The two triangles have two pairs of corresponding, congruent sides, and the included angles are congruent. And thus, triangles XYZ and ABC are congruent by the SAS postulate.
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SECOND TIME POSTING<br> Find the area of the shaded region.
topjm [15]

Answer:

The answer is 25.

Step-by-step explanation:

150/6 is 25

I think that is the correct answer sorry I didn't answer before didn't see the problem.

7 0
3 years ago
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as the pair of shorts. He spent a tot
cestrela7 [59]
6 pairs of shorts, for a
"s" dollars. A blazer costs 3 times as much, she bought one. The total was 139.50

6s + 3(6s) = 139.50
6s + 18s = 139.50
25s = 139.50 Divide everything by 25,
s = 5.58, which is how much the shorts were. Now for the blazers ;

It said they were three times the cost of shorts, if shorts are 5.58, it is 3*5.58.
3s
3(5.58)
16.74

The blazer cost 16.74
8 0
3 years ago
A charter airline finds that on its Saturday flights from Philadelphia to London all 180 seats will be sold if the ticket price
Darina [25.2K]

Answer:

S = -\dfrac{1}{3}P+\dfrac{740}{3}

Step-by-step explanation:

Given that:

Number of seats sold is 180 with ticket price $200.

Number of seats decreases by one when the ticket price is increased by $3.

To find:

The formula for the number of seats sold (S) when the ticket price is P dollars.

Solution:

It is linear dependency of number of seats sold, S on ticket price, P.

S\propto P

It can be written as:

S = kP+C

Where k is the constant of proportionality and

C is a constant.

Now, putting the given values:

180  = 200k +C ..... (1)

179 = 203k+C ...... (2)

Subtracting (1) from (2):

3k = -1\\\Rightarrow k =-\dfrac{1}{3}

Putting the value in (1):

\Rightarrow C = 180+\dfrac{200}{3} = \dfrac{740}{3}

Therefore the equation becomes:

S = -\dfrac{1}{3}P+\dfrac{740}{3}

4 0
2 years ago
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the
JulsSmile [24]

Answer:

If you're on edge and it's the multiple choice one it would be a

7 0
3 years ago
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