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tino4ka555 [31]
3 years ago
14

Help me with my math**50 pts** i mark brainliest**

Mathematics
1 answer:
xenn [34]3 years ago
4 0

Answer:

3) Reflexive Property

4) SAS

Step-by-step explanation:

<h2>ST ≅ TS</h2>

1. The Reflexive Property states that: a quantity is congruent (equal) to itself.

  • Example: a = a  
  • In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>

1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.

  • Example: RST ≅ UTS (both have S and T)
  • Can be seen as RST ≅ UST as well to make their similarity more evident.

2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).

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Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travel
Anestetic [448]

Answer:

x1 = 275 miles (shorter)

x2 = 318 miles (longer)

Step-by-step explanation:

Let

x1 = be the shorter route

v1 = speed of the car in the shorter route

t1 = time it took to cover shorter route

x2 = the longer route

v2 = speed of the car in the longer route

t2 = time it took to cover longer route


x1 + 43 = x2   (1)

v2 = v1 -2   (2)


v2 = x2/t2 = x2/6

v1 = x1/t1 = x1/5


This means that

v2 = v1 -2   =>

x2/6 = x1/5 -2

The system of equations results

a.   x1 -x2 = -43

b.  x1/5 - x2/6 = 2

Solving this system of equations, we find that

x1 = 275 miles

x2 = 318 miles


4 0
3 years ago
Read 2 more answers
What is initial value for v(t)= 32000(0.90)^t and the value after 13 yrs
marusya05 [52]
He initial value is 32,000 and the value after 13 yrs is 8133.97
5 0
3 years ago
Harry earns an hourly rate of $15. For each additional hour over 40 hours, he earns 150% percent of his regular hourly rate. Las
irinina [24]

Answer:

51 hours

Step-by-step explanation:

$15 x 40 = $600

$15 x 1.50 = $22.5

$22.5 x 11 = $247.5

$600 + $247.5 = $847.5

40 + 11 = 51 hours

7 0
3 years ago
Read 2 more answers
What is the sum of the interior angles of the polygon pictured below?
kkurt [141]

3420°

explanation:

the equation of the sum of interior angles are (n-2)x180

polygon above has 21 sides so you sub n as 21 and plug the equation in the calculator

8 0
3 years ago
Read 2 more answers
What is the value represented by the letter D on the box plot of data?
anyanavicka [17]
Hello!

The letter D is in the place for the upper quartile

To find this you have to find the median of the data

List the numbers from least to greatest

12, 18, 34, 55, 59, 68, 80, 80

The medians are 55 and 59

To get the median we take the average of these numbers

55 + 59 = 114

114 / 2 = 57

The median is 57

To find the upper quartile you find the median of the numbers higher than 57

List the numbers that are higher than 57 in the data

59, 68, 80, 80

Take the average of 68 and 80

68 + 80 = 148

148/2 = 74

The answer is 74

Hope this helps!
4 0
3 years ago
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