Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula
Use pythagoras formula for triangle PQM.
The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.
.....(1)
Use pythagoras formula for triangle MQR.
.... (2)
From equation (1) and (2) we get
Therefore length of PR is 6.4 units and option 4 is correct.
Steps:
1. Graph all three points on the xy-plane.
2. Connect each point to form a triangle.
3. Use the formula A = (1/2)(base)(height)
X= # of multiple choice questions
y= # of word problem questions
EQUATION 1:
x + y= 25
EQUATION 2:
3x + 4y= 90
STEP 1:
solve for one variable in equation 1
x + y= 25
subtract y from both sides
x= 25 - y
STEP 2:
substitute x=25-y in equation 2
3x + 4y= 90
3(25-y) + 4y= 90
75 - 3y + 4y= 90
75 + y= 90
subtract 75 from both sides
y= 15 word problems
STEP 3:
substitute y value to find x
x + y= 25
x + 15= 25
x= 10 multiple choice questions
ANSWER: There are 15 word problems and 10 multiple choice questions.
Hope this helps! :)
