Answer:
v = 21
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
add all 3 angle measures and set equal to 180:
4v + 2v + 54 = 180
6v = 126
v = 21
Answer:
x = 2
Step-by-step explanation:
![log \: {x}^{3} + log \: 5x = 5log \: 2 - log \: \frac{2}{5} \\ \\ \therefore \: log( {x}^{3} \times 5x) = log {2}^{5} - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log 32 - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(32 \times \frac{5}{2} \bigg) \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(16 \times 5) \\ \\ \therefore \: 5{x}^{4}= 16 \times 5 \\ \\ \therefore \: {x}^{4}= {2}^{4} \\ \\ \huge \purple{ \boxed{\therefore \: {x} = 2}}](https://tex.z-dn.net/?f=log%20%20%5C%3A%20%7Bx%7D%5E%7B3%7D%20%20%2B%20log%20%5C%3A%205x%20%3D%205log%20%5C%3A%202%20-%20log%20%5C%3A%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20log%28%20%7Bx%7D%5E%7B3%7D%20%20%5Ctimes%205x%29%20%3D%20log%20%20%7B2%7D%5E%7B5%7D%20-%20log%20%5C%3A%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20log%28%205%7Bx%7D%5E%7B4%7D%29%20%3D%20log%2032%20-%20log%20%5C%3A%20%20%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20log%28%205%7Bx%7D%5E%7B4%7D%29%20%3D%20log%20%20%5Cbigg%2832%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20log%28%205%7Bx%7D%5E%7B4%7D%29%20%3D%20log%20%20%5Cbigg%2816%20%20%5Ctimes%20%205%29%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%205%7Bx%7D%5E%7B4%7D%3D%20%2016%20%20%5Ctimes%20%205%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%7Bx%7D%5E%7B4%7D%3D%20%20%20%7B2%7D%5E%7B4%7D%20%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cpurple%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20%7Bx%7D%20%3D%202%7D%7D)
Answer:
270 feet
Step-by-step explanation:
For clarity, the image below represents the problem. Let's call h the height of the tower. Notice that it forms 2 triangles that are similar to side-angle-side. So, we can calculate the higher of the tower by similar triangles:
higher1/base1 = higher2/base2
h/135 = 6/3
h/135 = 2
h = 270 ft
im not sure i cant find a graph but i can find the points for u to graph if u want
Answer:11
Step-by-step explanation: