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MAXImum [283]
2 years ago
12

The angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle

Mathematics
2 answers:
ella [17]2 years ago
7 0

Answer:

Step-by-step explanation:

the angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle

the value 3 is the hypotenuse, 1 and 2 the catheti, we use Pythagoras

√3²-2² = 2.2

2.24 is not 3 so the triangle is NOT right.

mojhsa [17]2 years ago
3 0

Answer and explanation:

We know the sum of interior angles in a triangle is 180°.

  • 1 : 2 : 3 = 6 (1 + 2 + 3)
  • x : y : z = 180 (x, y and z are the unknown angles)

To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:

  • 1 × 30 = 30°
  • 2 × 30 = 60°
  • 3 × 30 = 90°

The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.

The ratio is 30 : 60 : 90.

Hope this helps!

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Factor 15x + 10y =....<br> Please show how you got your answer.
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

What can go into 15 and 10 both equally?

5

5 goes into 15 3 times and 5 goes into 10 twice

5(3x+2y)

HOPE THIS HELPED :3

4 0
2 years ago
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What is an<br> equation of the line that passes through the points (-3,8) and (4,1)?
GuDViN [60]

Answer: y= -1x + 5

Step-by-step explanation:

(-3,8) ( 4,1)

8-1= 7

-3-4 = -7

7/-7 = -1  so the slope is -1   so we will use the formula y=mx+b to find the y-intercept

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b= 5  so the y intercept is 5 now we will write the equation like this y= -1x + 5

6 0
3 years ago
What is the next term in this arithmetic sequence?<br> 11, 8, 5, 2,...<br> 0-3<br> 06<br> 05
satela [25.4K]

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3 years ago
A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot
ryzh [129]
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6 0
3 years ago
The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show
sattari [20]

Answer:

D. Q_3=47

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

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We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

Q_3=\frac{3}{4}*(11+1)^{\text{th term}}

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Q_3=3*3^{\text{th term}}

Q_3=9^{\text{th term}}

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0
3 years ago
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