13. A reflection of the rectangle over which line will map the rectangle onto itself?
1 answer:
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Let x=the larger number
y=the smaller number
If the difference of two numbers is 19,then
If the larger number is 3 more than twice the smaller,
subsituting
but ×=2y+3 so,
Therefore, the two numbers are 16 and 35.
y=the smaller number
If the difference of two numbers is 19,then
If the larger number is 3 more than twice the smaller,
subsituting
but ×=2y+3 so,
Therefore, the two numbers are 16 and 35.
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then
The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.
The hypotenuse can be found using Pythagoras Theorem.
3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are
and
4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,