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RoseWind [281]
2 years ago
10

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Mathematics
1 answer:
marusya05 [52]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: a^{2} +b^{2} = c^{2}. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

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If 5x−4y=22 and 3x+6y=30, what is the value of x−5y
amm1812

Answer:

-4 See Below:

Step-by-step explanation:

When you have a system of equations, you need to solve for one variable, and subsitute that variable into the other equation to solve for the other variables value.

3x +6y = 30 In this case, it would be easier to solve for x.

3x= 30-6y  Divide both sides by 3

x= 10-2y

Now we substitute for x in the other equation.

5x- 4y = 22

5(10-2y)-4y=22

50-10y-4y=22

50-14y=22 Add 14y to both sides

50= 14y + 22 Subtract 22 from both sides

28 = 14y     Divide by 14 on both sides.

y = 2

Substitute y=2 and solve for x.

x = 10- 2y

x= 10-2*2

x= 10-4

x= 6

Now we know y=2 and x=6, so we can substitute them into x-5y to find its value.

x - 5y

= 6-5*2

=6-10

= -4

6 0
2 years ago
The number of freshmen entering college in a certain year is 621. What type of data is 621?
horrorfan [7]

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The number of freshmen entering college in a certain year = 621

It is considered as discrete data.

Since we know the definition of Discrete which refers to all types of data which take only numerical values.

It is based on counts.

According to question, we have given the exact number of freshmen instead of any range or interval.

Hence, Third option is correct.

3 0
3 years ago
Samantha is making some floral arrangements.The table shows the prices for packs of six of each type of flower.
belka [17]
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4 0
2 years ago
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Juli2301 [7.4K]

Step-by-step explanation:

We would do multiplication first, because of order of operations.

2x3=6

Now we add.

6+4=10

hope it helps! :3

8 0
2 years ago
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alexandr1967 [171]
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