Answer:
D
Step-by-step explanation:
Find the slope m of the graphed line using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (12, 6) ← 2 points on the line
m = = =
• Parallel lines have equal slopes, hence equation of parallel line in slope- intercept form is
y = x + b ( b is the y- intercept )
To find b substitute (12, - 2) into the equation
- 2 = 10 + b ⇒ b = - 2 - 10 = - 12
y = x - 12 ← equation of parallel line → D
Answer: 28 decibels.
Step-by-step explanation:
1. To solve this exercise you must observe the graph attached in the problem, where the intensity of the sound is represented in the x-axis and the decibel measure is represented in the y-axis.
2. As you can see in the graph, when the value of x is 500 (x=500) the value of y is 28 (y=28).
3. Therefore, the answer is the second option: 28 decibels.
Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees