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Brums [2.3K]
3 years ago
11

In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 7 less than 4 times the size of

angle A
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.

Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.

We now know the following:

Angle A: a
Angle B: 5a
Angle C: 4a-5

Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.

So we have: a+5a+4a-5 = 180

We can solve that equation by combining like terms to get: 10a-5=180

We can add 5 to both sides: 10a =185

And divide by 10: a = 18.5

That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.

Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.

One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!

Hope that helps you!!
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Answer:

Step-by-step explanation:

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8 0
2 years ago
Tim is 3 times as old as chris and is also 14 years older than chris. how old is tim?
Luda [366]

Let y represent Tim's age and let x represent Chris's age.

y=3x

y=x+14

Set the two equations equal to each other:

3x=x+14

Subtract the x from the one side to get it on the other side.

2x=14

Divide by 2 on both sides

14/2=7

x=7

Plug it back in and see if it works:

y=3(7)=21

Other equation:

7+14=21

x=7

y=21

7 0
3 years ago
Need help ASAP!!!!!!
Sergeu [11.5K]

Input Data :

Point 1 ( x A , y A )  = (-6, -2)

Point 2 ( x B , y B )  = (1, -6)

Objective :

Find the distance between two given points on a line.

Formula :

Distance between two points =  √ ( x B − x A )2 + ( y B − y A ) 2

Solution :

Distance between two points =  √ ( 1 - -6 ) 2 + ( − 6 − − 2 ) 2

=  √ 7 2 + ( − 4 ) 2

=  √ 49 + 16

= √ 65  = 8.0623

Distance between points (-6, -2) and (1, -6) is 8.0623

Or 8!!

Best of luck!!

#readmore

8 0
3 years ago
Raphael graphed the system of equations shown.
vazorg [7]

Answer:

(-2.2,-3)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of these numbers are greater than 3. 2 × 10-3? 2. 1 × 10-3 4. 2 × 10-4 5. 2 × 10-2 5. 2 × 10-1.
leonid [27]

Answer:

your answer would be 4.2 x 10-4

Step-by-step explanation:

8 0
2 years ago
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