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3 years ago

Chloe notices that segment ST and segment VW are congruent in the image below.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

The SAS similarlity theorem is the type of similarlity that show that two triandles are similar by showing that two of the sides are similar with the angle between the two sides also similar.

Thus, given that segment ST and segment VW are congruent, and also from the image it can be seen that angle S is congruent to angle V.

Thus, to show that ΔSTU ≅ ΔVWX, we have to show that US≅XV.

Therefore, the step that could help her determine if ΔSTU ≅ ΔVWX by SAS is US≅XV

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Here is the answer:
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4 years ago

A travel website reports that in a particular city, the probability of rain on any day in April is 40%. What is the expected num

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4 years ago

What is the equation of the parabola ?

Nadya [2.5K]

Answer:

D. y = 1/12x² + 2

Step-by-step explanation:

As per graph we observe:

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3 years ago

A brand-new vehicle is bought this year for $35,000. This vehicle model is expected to depreciate by about 12% in resale value a

nevsk [136]

Answer:

The model for the resale value of the vehicle is

$A=35000(0.88)^x$

where A is the resale value of the car after x years in dollar.

The resale value of the car after 10 years is $9747.53.

Step-by-step explanation:

Given that, a brand new vehicle is bought this year for $35,000.

This vehicle model is expected to depreciate by about 12 % in resale value annually.

We use the following formula to find the value of car after t year,

$A=P(1+r)^t$

A= the value of car after t years

P= initial amount of the car

r = rate

t = time

since the value of decreases so, r= -12%,t=x years, P=$35,000

$A=35000(1-0.12)^x$

$\Rightarrow A=35000(0.88)^x$

where A is the resale value of the car after x years in dollar.

The model for the resale value of the vehicle is

$A=35000(0.88)^x$

To find the resale value of car after 10 years, we put x=10 in the above model equation

$A=35000(0.88)^{10}$

=$9747.53

The resale value of the car after 10 years is $9747.53.

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3 years ago