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zaharov [31]
3 years ago
14

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to iden

tify the triangle as scalene, isosceles, or equilateral. R(1, 3), S(3, 1), T(5, 2)
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
The length of a segment, given the extremities, is:
√[(x₂ - x₁)² + (y₂ - y₁)²]

Therefore:

RS = √[(3-1)² + (1-3)²] = √(4+4) = √8

RT = √[(5-1)² + (2-3)²] = √(16+1) = √17

ST = √[(5-3)² + (2-1)²] = √(4+1) = √5

Since the lengths are all different, the triangle is scalene.

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Oliver was counting his spare change. He had ten dimes and two quarter. How many times as many dimes does Oliver have than quart
zalisa [80]
1 quarter = 25 cents (he has 2 therefore its 50 cents)
10 dimes = 100 cents = 1 dollar
Oliver has twice as many dimes than he does quarters because 100 divided by 50 = 2. Hope this helps!
7 0
3 years ago
Read 2 more answers
Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure
rosijanka [135]

Answer:

x = 45, y = 5

Step-by-step explanation:

It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,

2x + 20y - 10 =90

2x+20y = 100

x + 10y = 50

And

2x = 20y-10

x = 10y -5

x - 10 y = -5

Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:

x + 10y =50

x - 10y = -5

------------------

x = 45

Therefore, the value of y after substitution of the value of x in one of the equations will be:

90 = 20y - 10

20 y = 100

y = 5

Hence, the required value of x and y are 45 and 5 respectively.

4 0
3 years ago
A circular racetrack has a diameter of 1/2 mile. How far does a car travel in one lap around the track? Round to the nearest ten
dlinn [17]
Given:
Circular racetrack with a diameter of 1/2 mile

Find: how far does a car travel in one lap around the track?

We need to find the circumference of the racetrack.

Circumference is multiplying pi to the diameter of the racetrack.

Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
7 0
3 years ago
I already solved this problem. I just need help with the HINT part.
frutty [35]
x+y=25 \\ y=25-x~~Other~number~in~terms~of~x \\ \\ x^2+y^2=313 \\ x^2+2xy+y^2=313+2xy \\ (x+y)^2=313+2x(25-x) \\ \frac{25^2-313}{2} =25x-x^2 \\ x^2-25x+156 \\ \\ \Delta =(-25)^2-4\times 1\times 156 \\ \Delta =625-624 \\ \sqrt{\Delta}=1 \\ \\ x= \frac{25 \pm 1}{2} \\ x= \left \{ {{x_1=13} \atop {x_2=12}} \right.

     The number "x" is given by:
y= \left \{ {{y_1=25-13 \rightarrow~y_1=12} \atop {y_1=25-12 \rightarrow ~y_1=13}} \right.
  
     Therefore, we have:

\boxed {S=({12,13})} \rightarrow~The~curly~braces~does~not~want~appear~here.
8 0
3 years ago
A chef can make 12 omelets in one hour . what is the rate of omelets per minute?
g100num [7]
5 per minute is the answer.

4 0
3 years ago
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