Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.
The rays are called the sides of the angle and
common endpoint is called the vertex.
The vertex is very important when naming angles because
the vertex is always at the center when naming the angle.
Below is an example of two rays that share a
common endpoint which is called the vertex.
Answer:
6.25 feet.
Step-by-step explanation:
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
Answer:
4
Step-by-step explanation:
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Answer:
x = 50, y = 10
Step-by-step explanation:

Answer:
- 1
Step-by-step explanation:
Using the order of operations PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction )
Given
17 - 6 × 10 ÷ 2 + 12 ← perform multiplication
= 17 - 60 ÷ 2 + 12 ← perform division
= 17 - 30 + 12 ← perform addition/ subtraction from left to right
= - 13 + 12
= - 1