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
(x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6
Answer:
Not the right amount.
Step-by-step explanation:
A square has 4 sides so 92/4 to divide it evenly is 23.
23 times 23 for the are is 529 which is not equal to 450.
Similar triangles may or may not be congruent
- The height of the peak is 72 feet
- The triangles are similar by AA similarity postulate
<h3>How to determine the similarity statement</h3>
First, we determine the height of the peak using the following equivalent ratios
P B : B M = T F : F M
So, we have:
Express the units in inches
Express as fractions
Multiply both sides by 240
Express as feet
So, the height of the peak is 72 feet
The ratio also means that the triangles are similar by AA similarity postulate
Read more about similar triangles at:
brainly.com/question/14285697
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
