1.) the line makes triangle
2.) triangles always equal 180 degrees
3.)180-108-37=35
4.)35=8x+3
5.) 32=8x
6.)4=X
Answer:

Step-by-step explanation:
The table shows how the time it takes a train to travel between two cities depends on its average speed.
function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour
y represents the time
and x represents the average speed
WE know distance = speed * times
LEts find the distance using the table
distance = 32* 5= 160
40*4= 160
50*3.2 = 160
Time = distance / speed
times is y , distance is 160 and speed is x

Answer:
2. 2.3
3. 37.2 m
Step-by-step explanation:
2. tan theta = opposite/ adjacent
tan 25 = x/5
Multiply each side by 5
5 tan 25 = x/5 *5
5 tan 25 = x
2.331538291
To the nearest tenth
2.3 =x
3. We want to find the height or y
sin theta = opposite/ hypotenuse
sin 60 = y /43
Multiply each side by 43
43 sin 60 = y/43 * 43
43 sin 60 = y
37.23909236 = y
To the nearest tenth
37.2 =y
The light pole is 37.2 meters tall
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
<u>Given:</u> y = 7x (6/7, -1/4)
we can plug in the point (6/7, -1/4)
-1/4 = 7(6/7)
-1/4 = 6
<em>-1/4 does not equal 6 so this point is not on the line</em>
Learn more about slope and y-intercept here: brainly.com/question/12763756
Answer: 5/4 and 6/3
Step-by-step explanation:
1/2 can be written as 3/6 so the series now becomes,
1/8 , 2/7 , 3/6 , 4/5 ,…….
i think you can now guess the answer, look at the<u> numerators which are increasing by ‘1’ </u>and then look at the <u>denominators which are decreasing by ‘1’.</u>
so the next number in the series is, 1/8 , 2/7 , 3/6 , 4/5 , 5/4 , 6/3
hope this helped