PLS HELP!!

Mathematics

1 answer:

VladimirAG [237]3 years ago

6 0

The answer would be c

You might be interested in

The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines

miv72 [106K]

Answer:

∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

∠RSU +∠UST = ∠RST

78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

108 = 6x . . . . . . . . . . . multiply by 2

120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

7 0

2 years ago

3.920 * (1.018)^x = 5.500<br><br>X=?

Andrei [34K]

Answer:

Step-by-step explanation:

3.920(1.018)ˣ = 5.500

First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
Then we can divide both sides by ln(1.108) to get: $x=\frac{ln(1.403)}{ln(1.018)}$
Then using a calculator we get x = 18.98 ≈19