Answer:
∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036
Step-by-step explanation:
Law of sines:
13/sin Q = 19/sin 85°
=> sin Q = 13 × sin 85°/19
=> Q = sin^-1 (13 × sin 85°/19)
=> Q ≈ 42.969
∠P=> 180 - 85 - 42.969 ≈ 52.03
QR/sin 52.03° = 19/sin 85°
=> QR = sin 52.03° × 19/sin 85°
=> QR ≈ 15.036
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 15
Answer:
x = 158
y = 22
Step-by-step explanation:
A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.
70 + 88 = 158
180 - 158 = 22
y = 22 degrees
Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.
180 - 22 = 158
x = 158 degrees
Answer:
<h2>£1346.97</h2>
Step-by-step explanation:
Step one
given the amount £761
we are asked to increase this amount by 77%
let us first find 77% of the amount £761
=77/100*761
=0.77*761
= £585.97
Step two:
Hence 77% of £761 is £585.97
therefore the increase will be to add the two amounts together
=£585.97+£761
=£1346.97
