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jeyben [28]
2 years ago
7

M

Mathematics
2 answers:
Alona [7]2 years ago
6 0

Based on the coordinates of triangle RST, we can infer that triangle RST is <u>not a right-angled triangle. </u>

<h3>Is triangle RST a right-angled triangle?</h3>

For this to be a right-angled triangle, the Pythagoras theorem has to apply where:

Largest side² = Side A² + Side B²

Lengths of the triangle:

RS² = (4 - 2)² + (4 - 3)²

= 5

ST² = (5 - 4)² + (0 - 9)²

= 17

TR² = (2 - 5)² + (3 - 0)²

= 18

We can see that:

18 ≠ 17 + 5

This is therefore not a right-angled triangle.

Find out more on the Pythagoras theorem at brainly.com/question/343682.

#SPJ9

AlekseyPX2 years ago
5 0

Step-by-step explanation:

given the point 23 44 and 50. To determine if the right triangle, you want to find the slopes, the slope of rs the slope of S. T. And the slope of R. T. The slope is always the difference of your Y coordinate. So if it's R. S would be four minus 3/4 minus two. Difference of the Y coordinates Over the difference of the x coordinates, that would be 1/2 the scope of S. T. Using points S and T Would be 0 -4/5 -4. That's negative for over one or -4. In the soap of R. T would be zero minus 3/5 minus two, which would be negative 3/3, Which is positive one. So since we don't have any slopes that are opposite reciprocal als, then there are no perpendicular lines, so not a right triangle. Okay, no perpendicular lines.

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Anna11 [10]
1/6 and 1/6 equals 1/3
8 0
3 years ago
2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?
Maksim231197 [3]

Explanation:

The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

  • R is a point on one of the rays forming Angle 1
  • S is a point on the ray that is the opposite of ray VR
  • T is a point on the other ray forming Angle 1
  • U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

___

Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

7 0
3 years ago
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
BRAINLIEST LOL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
egoroff_w [7]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help!<br> 10<br> ∑ 2i-9<br> i=3
pentagon [3]

\sum\limits_{i=3}^{10}(2i-9)=2(3)-9+2(4)-9+2(5)-9+2(6)-9+2(7)-9\\\\+2(8)-9+2(9)-9+2(10)-9\\\\=6-9+8-9+10-9+12-9+14-9+16-9+18-9+20-9\\\\=90-72=18

6 0
3 years ago
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