Hi there.
A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.
(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.
Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.
x = 40 is another measurement on its own.
Our measurements are:
56, 84, and 40.
Your corresponding answer choice is H.) 56, 84, 40.
I hope this helps!
Answer:
54.5°
Step-by-step explanation:
Angle made by the sun to the building...
;Firstly draw a right angled triangle of which has the 70 foot as the opposite and 50 foot as the adjacent
Then the angle made by the sun is....
Tan theta = 70/50
Angle..theta = 54.5°
We will be using the fact that , where is the probability that the first bulb works and is the probability that the second bulb works.
The probability that the first bulb works is . However, when we take one out (given that the first bulb works) we now have 19 working bulbs and 4 bad ones. This means that the probability that the second bulb works is .
Now, we can find our final probability:
Answer:
13 cm
Step-by-step explanation:
Add up all of the sides and you should get 13.
3 + 3 + 3.5 + 3.5 = 13
It would take about 5 stops to get 13 people on the bus, but the real amount of people would be 15.