Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the measure of angle CQJ
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.


substitute the values


Part 2) Find the measure of angle LIJ
step 1
Find the measure of angle IJL
we know that
The inscribed angle is half that of the arc it comprises.

substitute the values

step 2
Find the measure of angle ILJ
we know that
The measurement of the external angle is the semi-difference of the arcs it encompasses.

substitute the values

step 3
Find the measure of angle LIJ
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
In the triangle LIJ

substitute the values


Step-by-step explanation:
Our coordinates are (6, 0) and (0, -3).
We can use the formula (y₂-y₁)/(x₂-x₁) to find the slope-intercept form (y=mx+b)
Now, we plug the coordinates into the formula and solve.
(0-(-3))/(6-0)
=3/6
=
So, the slope is
.
Now, we have to find the y-intercept, which is the point where the line on the graph intersects with the y-axis.
We can find the y-intercept (which is represented by b) by plugging the information we already know into the formula.
We can use either pair of coordinates for the formula, so I'll use (6, 0).
y=mx+b
0=
(6)+b
Now, we can solve.
0=3+b
Subtract 3 from both sides.
-3=b
The y-intercept is -3.
Answer:
y=
x-3
Answer:
add both x coordinates and divide them by 2.
add both y coordinates and divide them by 2.
Now final product should be (x,y)
Step-by-step explanation:
Example.
let's take 2 points:
(2,5) and (7, 9)
let's add both x coordinates.
2+7 = 9
now add both y coordinates.
5+9 = 14
Now divide both by 2.
Final answer should be (4.5, 7) = this is your midpoint
The total time taken to cover 12 miles distance is 5 hours.
<u>Given the Parameters</u> :
- Total distance hiked = 12 miles
Recall :
Let :
<u>We could create an equation thus</u> :
Total distance = 3(2) + 2(t - 2)
12 = 6 + 2t - 4
12 = 2 + 2t
12 - 2 = 2t
10 = 2t
t = 10/2
t = 5
Therefore, the total time taken is 5 hours
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