Answer:
91
Step-by-step explanation:
12∣∣−x+3∣∣−5
Let x = 11
12∣∣−11+3∣∣−5
Do the absolute value first
12∣∣-8∣∣−5
Taking the absolute value, which means making it positive
12* 8 -5
Multiply and divide
96 -5
91
Answer:
Therefore,
The actual area of the basketball court if the scale drawing is
11.75 inches by 6.25 inches is
Step-by-step explanation:
Given:
Drawing Scale of a basketball court,
1 inch = 8 feet
To Find:
Actual area of the basketball court if the scale drawing is
11.75 inches by 6.25 inches = ?
Solution:
Scale is given as
1 inch = 8 feet
Therefore actual length and width in feet will be,
Now Area of Court is shape of Rectangle,
Substituting the values we get
Therefore,
The actual area of the basketball court if the scale drawing is
11.75 inches by 6.25 inches is
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.
Answer:
4.5 miles
Step-by-step explanation:
On the graph,
- Elm station is located at (-3,-6)
- Oak station is located at (-1,-2)
We use the distance formula to find the distance between Elm and Oak.
