Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get




Adding x on both sides, we get




The missing length is 3 Therefore, the correct option is D.
Answer:
I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function
Step-by-step explanation:
Answer:
98child tickets were sold that day
Step by step Explanation:
Let the number of children= A of the number of adult
Then
6.20C + 9.50A = 1082.0
From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say
A= 4C
Then substitute into the above equation
6.20C + 9.50A = 1082.0
6.20C + 9.50(4C) = 1082.0
6.20C + 38C= 1082.0
44.2C =1082.0
C= 24.48
But we know that
A= 4C
A=4* 24.48
A= 97.9
Therefore ,98child tickets were sold that day
Answer:
6852 feet .
Step-by-step explanation:
Refer the attached figure
The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet
The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°
We are supposed to find How far do riders travel on the lift i.e.AC
In ΔABC
We will use trigonometric ratio





So, riders travel 6852 feet .