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!
The probability of picking a nickel first would be: 4/10
The probability of picking a dime first would be: 6/10
Answer:option C is the correct answer.
Step-by-step explanation:
When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.
Since the length of the ladder is 12 foot, then
Hypotenuse = 12 foot
The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio
Sin θ = opposite side/hypotenuse
Sin 75.5 = y/12
Answer:
35/3 yd
Step-by-step explanation:
first convert the hypotenuse into 37/3, then you can write (37/3)^2-(4)^2=a^2. solve to get 35/3
Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that 
80% passed in mathematics 75% passed in english
This means that 
Proportion who passed in both:
Considering the values we have for this problem
3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So
5000 students appeared in the examination.
