Answer:
Step-by-step explanation:
Given: AB≅DE, BC≅EF, CA≅FD
Since those are the given it is maped A to D, B to E, C to F
This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.
Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF
Answer:
7.1 meters
Step-by-step explanation:
Use the pythagorean theory:
10 would be the hypotenuse
7 would be one of the legs
and x (or whatever variable you'd like) would be the other leg.
7^2+x^2=10^2
49+x^2=100
subtract 49 from both sides
x^2=51
take the square root on both sides
x is approximately 7.1
Given:
The cost of adults ticket = $18
The cost of children's ticket = $8.25
Total tickets = 2300
Total revenue = $30,168.
To find:
The number of children and number of adults attended the zoo that day.
Solution:
Let x be the number of children and y be the number of adults.
Equation for tickets: 
...(i)
Equation for revenue: 
...(ii)
Plot the graphs of the given equations on a coordinate plane as shown below.
From the graph it is clear that the graph of both equations intersect each other at (1148,1152).
It means the number of adults is 1148 and the number of children is 1152.
It can be solved algebraically as shown below:
Substitute the value of y in (ii) from (i).
Divide both sides by 9.75.
Putting in (i), we get
Therefore, the number of adults is 1148 and the number of children is 1152.
<h3>
Answer: 658.3</h3>
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Explanation:
The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.
If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(62) = y/350
350*tan(62) = y
y = 350*tan(62)
y = 658.254262871217
y = 658.3
