Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.
The angle of 109° and angle of z° equal eachother. Z=109°
Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.
Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.
z=109°
y=38°
x=33°
Answer: The height is 4.472
Step-by-step explanation: That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
Well what I like to do is take 52 and multiply it by 1. whatever the percentage is. I say 1. whatever the percentage is because in your case 40 %. 1 equals the whole amount the percentage after it counteracts the percentage so 52*1.4=72.8
Answer= 72.8 or 73 people
Answer:
f(g(5)) = 11
Step-by-step explanation:
- f(x) = x - 2
- g(x) = 3x - 2
The composite function f(g(5)) is found by plugging g(5) for x into f(x).
Let's find g(5) first.
- g(5) = 3(5) - 2
- g(5) = 15 - 2
- g(5) = 13
Next, plug this value for x into f(x).
- f(13) = (13) - 2
- f(13) = 11
∴ <u>f(g(5)) = 11</u>.
