Answer: The missing step is,
m∠OCP ≅ m∠ABC because corresponding angles made by the same transversal on the parallel lines are congruent.
Step-by-step explanation:
Given : 
, 
And, 
We have to Prove : Angle PCQ is complementary to angle ABC
⇒ 
Proof: Since,
⇒ 
But, 
( By angle addition postulate )
⇒ 
( By transitive property of equality )
Since, ,
⇒ 
( corresponding angles made by the same transversal are congruent)
⇒ 
( By the definition of congruent angles )
This leads,
( by the transitive property of equality )
Thus, by the definition of complementary angles,
Angle PCQ is complementary to angle ABC
Hence proved.
Replace the x in the expression by 0 and work it out:-
y-intercept = 2 (0)^2 - 7(0) + 9 = 9
Answer is option (4).
If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
Substitute x = 1.5y into the equation above
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
Learn more here: brainly.com/question/25547756
Answer:
Option A is correct
Step-by-step explanation:
The given equation is
h = -16t^2+6t+4
When the ball will hit the ground, height h = 0
Putting value of h = 0
0 = -16t^2+6t+4
Now solving to find the value of t
=> -16t^2+6t+4 = 0
Multiply with -1
16t^2-6t-4=0
Using quadratic formula to find value of t
a= 16, b= -6 and c= -4
Putting values,
Since time cannot be negative, so t = 0.721 or 0.72
So, Option A is correct
-78, -36, -19, -9, 0, 45, 67, 70
