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jonny [76]
2 years ago
13

Prachi conducted an experiment to determine the relationship between the number of hours, t,

Mathematics
1 answer:
Aneli [31]2 years ago
6 0

Answer:

Arithmetic sequence

5+70(n-1)  

Step-by-step explanation:

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What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

\angle UST must equal \angle UVT

So:

\angle UST = \angle UVT = 98

Next:

UV must equal US.

So:

UV = US = 14

Also:

ST must equal VT

So:

ST = VT = 20

Lastly

\angle TUV must equal \angle TUS

So:

\angle TUV = \angle TUS = 45

Hence: Options A and D are correct

4 0
2 years ago
Sergio and Lizeth have a very tight vacation budget. They plan to rent a car from a company that charges $75 a week plus $0.25 a
nordsb [41]

Answer: 500 miles

Step-by-step explanation:

Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.

i.e. Fixed charge= $75

Rate per mile = $0.25

Let x denotes the number of miles.

Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled

=  $75+ $0.25x

To keep budget within $200, we have following equation.

75+0.25x=200\\\\\Rightarrow\ 0.25=200-75\\\\\Rightarrow\ 0.25=125\\\\\Rightarrow\ x=\dfrac{125}{0.25}=\dfrac{12500}{25}=500

Hence, they can travel 500 miles and still keep within their $200 budget.

4 0
2 years ago
A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.
lina2011 [118]

Answer:

2/5

Step-by-step explanation:

Picking 4 cards out of 10, and as a fraction, it would be 2/5

4 0
1 year ago
Read 2 more answers
The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a
valkas [14]

Answer:

x^3+3x^2+5x+2

Step-by-step explanation:

The product of a binomial and a trinomial is

x^3+3x^2-x+2 \times 2 +6x-2

we have to simplify that

x^3+3x^2-x+4+6x-2

bringing the like terms together we get

x^3+3x^2-x+6x+4-2

-x+6x = 5x

-2+4 = 2

hence our expression becomes

x^3+3x^2-x+6x+4-2=x^3+3x^2+5x+2

5 0
1 year ago
Read 2 more answers
An earthquake registers a 5.6 on the Richter scale. If the reference intensity of this quake was 7.3 × 109, what was the intensi
kifflom [539]
Log(x/7300000000) = 5.6 so 

<span>x/7300000000 = 10^5.8 = 398107.17 </span>

<span>x = 2.9061823 x 10^15 </span>
8 0
1 year ago
Read 2 more answers
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