Answer: 31.18
Step-by-step explanation:
The problem is focused on mainly the right triangle made up of points M, Q, and R. This problem can be solved with the base formula, <em>b</em> = <em>a</em> · tan(β) where <em>a</em> = the length of line MR, β = m∠MQR, and <em>b</em> is the unknown length of RQ.
Given:
RQ = 18 · tan(60°)
Point M is the midpoint of line PM and line MR. Since MP is equal to 18, MR has to be 18 as well. This means that the value of <em>a</em> is 18.
The vertex of ∠MQR is Q, which is 60°.
Step 1: Find the tangent of 60°
The tangent of 60° is √3
Step 2: Solve
RQ = 18 · √3
18 · √3 = 31.18
RQ is equal to 31.18
Answer:
im pretty sure its 4.6
Step-by-step explanation:
Answer:
Below!
Step-by-step explanation:
Let us consider that 16 + 4 and 2(2w+8) are equal. Then;
This equation can be solved in two ways. Listed below!
Method 1:
Let's simplify the left-hand-side of the equation.
Then, divide "2" both sides of the equation to open the parentheses.
- ⇒ 20/2 = 2(2w + 8)/2
- ⇒ 10 = (2w + 8)
- ⇒ 10 = 2w + 8
Subtract 8 to both sides of the equation to isolate the variable (w) and it's coefficient.
Finally, divide 2 to both sides of the equation to isolate the variable (w).
Therefore, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.
Method 2:
Let's simplify the left-hand-side of the equation.
Then, simplify the distributive property to open the parentheses.
- ⇒ 20 = 2(2w + 8)
- ⇒ 20 = 4w + 16
Subtract 16 to both sides of the equation to isolate the variable and it's coefficient.
- ⇒ 20 - 16 = 4w + 16 - 16
- ⇒ 4 = 4w
Finally, divide 4 to both sides of the equation to isolate the variable (w).
As said in method 1, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.
Step-by-step explanation:
Option C. Even though it's not Mathematics
Step-by-step explanation:
25+5=30
30+40=70
70+2=72