Answer:
The conclusion is "Plane R and Plane S form a line if they intersect."
Step-by-step explanation:
Consider the provided statements.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
- If two points lie in a plane, then the line joining them lies in that plane.
- If two planes intersect, then their intersection is a line.
For better understanding refer the figure:
There are two planes R and S, which intersect at the line l.
Since the given two planes intersect, the using the above fact we can say that their intersection is a line.
Thus, the conclusion is "Plane R and Plane S form a line if they intersect."
Answer:
x<-25
Step-by-step explanation:
Answer: option d is correct .
Step-by-step explanation:
In order to find the same attendance we set both equation equal
8x+191 = -x^2+26x+126
simplifying equation ,we get
x^2 -18x+65=0
(x-5) (x-13) = 0
x =5 or x =13
therefore on 5th day and 13th day both plays attendance is same
and it is obtained by plugging x = 5 in and x =13 in either of the equation.
for x = 5 ,
y = 8(5) +191 = 40+191 = 231
for x = 13
y = 8(13)+191
= 104+191
= 295
therefore option d is correct
Answer:
E. 2 1/2
E. 8.5 cm
C. 6 cm
Step-by-step explanation:
4............................
Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5
<u>Correct option is</u> E. 2 1/2
5............................
DE = ?
- DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
- <em>For measure of AD see next question (6)</em>
<u>Close option is</u> E. 8.5 cm
6............................
AB = ?
- AD/AB = 2.5 <em>the scale factor as per question 4</em>
- (AB + 9)/AB = 2.5
- 2.5*AB = AB + 9
- 1.5*AB = 9
- AB = 9/1.5
- AB = 6 cm
<u>Correct option</u> C. 6 cm
I prefer to use fractions for some irrational numbers.
For example, 1/3 is equal to an infinite 0.3333333333333333...
