Answer:
x = 37 y = 65
Step-by-step explanation:
there are about 4 right angled triangles in the diagram
25 + 90 = 115
180 - 115 = 65
y = 65
53 + 90 = 143
180 - 143 = 37
the reason you add 90 is because the broken lines make right angled triangles for these isosceles
sum of angles in a triangle is 180
Simplify the following:
(sqrt(5) + 1) (sqrt(5) - 1) + 5 sqrt(5)
(sqrt(5) + 1) (sqrt(5) - 1) = -1 + 1 sqrt(5) - sqrt(5) + sqrt(5) sqrt(5) = -1 + sqrt(5) - sqrt(5) + 5 = 4:
Answer: 4 + 5 sqrt(5) or decimal 15.18033988749894848204586834365638117720309179805762862135
Answer:
From the image, we can see that ∠AOC = ∠AOB + ∠BOC
We are given the following values:
∠AOC = 104
∠AOB = 7x + 30
∠BOC = 9x + 42
Plugging these values in the equation above:
∠AOC = ∠AOB + ∠BOC
<em>104 = 7x + 30 + 9x + 42</em>
<em>104 = 16x + 72</em>
<em>16x = 32</em>
x = 2
Now that we have the value of x, we can easily find the value of ∠BOC
We are given that:
∠BOC = 9x + 42
∠BOC = 9(2) + 42 (since x = 2)
∠BOC = 18 + 42
∠BOC = 60°
Therefore, ∠BOC is 60 degrees
Answer:
10x
Step-by-step explanation:
7+3=10
just add the numbers if x is unknown
4.75 in simplest form is 4 3/4. 4.75 is 4 75/100 as a fraction, 75 and 100 can both be divided by 25. 75/25 = 3. 100/25 = 4. 4 and 3 have no common factors.