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stiks02 [169]
3 years ago
9

Please help ASAP. 40 pts

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

x = 40

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+2x+x+20 = 180

Combine like terms

4x+20 =180

Subtract 20 from each side

4x+20-20 =180-20

4x = 160

Divide each side by 4

4x/4 =160/4

x = 40

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What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
Deffense [45]
So you have a right angle triangle. You need to use trig for this, as you have two values you can figure out a third.

You know that you have

90 deg. angle
19 deg. angle
Therefor you have 71 deg. angle

sin19 = x/15
15sin19 = x
x = 2.2

Now do Pythagoras c^2-b^2=a^2

a = 14.8

So the sides are 2.2 and 14.8 units long. (If these numbers are wrong tell me and I'll edit answer)

7 0
3 years ago
Read 2 more answers
If 2a + 7b+2c=16 and 2a + 3b +2c= 8, then b = ?<br> (A)-2<br> (B) O<br> (C) 2<br> (D) 4<br> (E) 6
Sauron [17]

Answer:

  (C)  2

Step-by-step explanation:

Given equations 2a + 7b+2c=16 and 2a + 3b +2c= 8, you want to know the value of b.

<h3>Solution</h3>

The coefficients of 'a' and 'c' are the same in the two equations, so we can eliminate those variables by subtracting one equation from the other. We can keep the resulting coefficient of 'b' positive if we subtract the second equation from the first.

  (2a +7b +2c) -(2a +3b +2c) = (16) -(8)

  4b = 8 . . . . . . . simplify

  b = 2 . . . . . . . divide by 4

5 0
1 year ago
Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on
My name is Ann [436]

Answer:

B) 5:19 P.M.

Step-by-step explanation:

Given that two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on Track A every 16 minutes, and they arrive on Track B every 18 minutes.

Now we need to find about at what time will trains next arrive at the same time on both tracks.

Then next time trains arrive at the same time on both tracks. can be found by taking least common multiple of 16 and 18 minutes.

Multiples of 16 and 18 are

16 32 48 64 80 96 112 128 144 160

18 36 54 72 90 108 126 144 162 180

Least common multiple of both is 144

Hence both trains will arrive at the same time after 144 minutes

or at (2:55 PM+144 minutes)

= (2 hours 55 min)+(144 min) PM

= (2 hours 55 min)+(2 hours 24 min) PM

= (2 hours 55 min)+(2 hours 24 min) PM

= 5 hours 19 minutes

Hence correct choice is B) 5:19 P.M.

7 0
3 years ago
Use the commutative law of MULTIPLICATION to write an equivalent expression.<br><br> 9(x+5)
Arturiano [62]
The commutative property of multiplication is ab=ba
so
9(x+5)=(x+5)9
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3 0
3 years ago
What percent of the bill will you pay if you pay your bill plus a 9.5% tax?
Gelneren [198K]

Answer:

109.5% of the bill

Step-by-step explanation:

You have to pay 100% of your bill (or else you wouldn't have paid your bill in full) and as you said, "plus a 9.5% tax". 100+9.5=109.5%

7 0
3 years ago
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