<h3>
Answer: Angle Q = 133 degrees</h3>
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Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.
The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.
Let the required length be x, then
Therefore, the height of the airplane above the tower is 1,819.85 feet.
Answer:
$2000
Step-by-step explanation:
let x be the money she invested
lets assume this was for 1 year
0.09(x/2) + 0.07(x/2) = 160
multiply each side by 2 to cancel the denominators:
0.09x + 0.07x = 320
0.16x = 320
x = 2000
I’m not sure I’m just guessing but maybe 7x minus 35
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
