The length the hypotenuse of an isosceles right triangle, or a 45-45-90 triangle, is always radical two times as long as any leg of the triangle. With this, we can set up an equation where x represents the length of a leg.
x
= 8
divide both sides by
x = 8
The length of a leg of the triangle is 8
Answers:
A) SAS
B) ASA
E) LL
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Explanation:
Let's go through each possible answer choice
A. We can use SAS because we know that AC = XZ (horizontal sides) is one pair of congruent sides, the angle pairing is C = Z, and the other pair of sides is BC = YZ (vertical sides)
B. We can also use ASA. Note how A = X is one pair of angles, AC = XZ is the middle pair of sides, and C = Z is the second pair of angles. The side is between the angles.
C. We can't use SSS as we don't know AB = XY is true or not. There are no tick marks indicating congruence.
D. We can't use LA here because we don't know the altitudes (LA = leg altitude)
E. We can use LL here because we have two right triangles. The two pairs of legs (AC = XZ and BC = YZ) are congruent based on the tickmarks.
F. We can't use HL similar to the reasoning for choice C. We don't know the hypotenuses are congruent or not. If we knew that AB = XY, then we could use HL (hypotenuse leg).
The domain of the function is the value of the independent variable, or simply the x-values. The range is the value of the dependent variable, or the y-values. You can determine its domain and range if the curve of the function passes through their coordinates. Hence,
A. True. If you extend the curve downwards, its opening widens and would then encompass all x-values
B. True.
C. False. This is contradictory to A.
D. True. This is same with B.
E. False. This is contradictory to B.
F. False, the origin is at (0,2). It does not extend upward.
The answers are A, B and D.
Answer:
A, D, E
Step-by-step explanation:
Sorry for being late
The answer is 5r^2 -1
hope this helps !
