we know that
If two lines are parallel , then their slopes are the same
we will proceed to calculate the slope of each line to determine the solution.
The formula to calculate the slope m between two points of the line is equal to

<u>case N 1) </u>line AB
Let

substitute the values




therefore
<u>The line AB is not the solution</u>
<u>vase N 2)</u> line FG
Let

substitute the values




therefore
<u>The line EG is not the solution</u>
case N 3) line CD
Let

substitute the values




therefore
<u>The line CD is not the solution</u>
case N 4) line HJ
Let

substitute the values




therefore
<u>The line HJ is the solution</u>
therefore
<u>the answer is the option</u>
line HJ
Answer:
Step-by-step explanation:
Intersecting lines make equal opposite angles
2x + y = 50 - y
2x = 50 - 2y
x = 25 - y
A straight line represents 180°
4x + 6y + 2x + y + 2x + 3y = 180
8x + 10y = 180
8(25 - y) + 10y = 180
200 - 8y + 10y = 180
2y = -20
y = -10
x = 25 - (-10)
x = 35
Answer:
100
Step-by-step explanation:
M = log(I/S)
The intensity of the first earthquake:
8 = log(I₁/S)
10⁸ = I₁/S
I₁ = 10⁸ S
The intensity of the second earthquake:
6 = log(I₂/S)
10⁶ = I₂/S
I₂ = 10⁶ S
The ratio is:
I₁/I₂ = (10⁸ S) / (10⁶ S)
I₁/I₂ = 100
It is 100 times stronger.
Answer:
5
Step-by-step explanation:
Answer:

Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:

The adjacent side is 2 and the hypotenuse is 15. By substitution:

Now, we will take the inverse cosine of both sides. So:

Use a calculator. Hence:

The angle between the ground and the ladder is about 82.34°.