The theorem that justifies why triangles ABC and DEF are congruent is: HL.
<h3>What is the Hypotenuse-Leg Congruence Theorem (HL)?</h3>
The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.
Given that:
angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)
AC = FD (a pair of congruent hypotenuse)
AB = DE (a pair of congruent legs)
Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.
Thus, the theorem that justifies why both triangles are congruent is: HL.
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Answer:
X = 
, or X = 3.6
Step-by-step explanation:
For this problem we must isolate x
1.03x+3.97x-5=13 | Add 5 to both sides
1.03x+3.97x=18 | Add the x's
5x=18 | Now divide both sides by 5
x=, x=3.6
Sin⁻¹ √2 = 1/√2 = 1(√2) / (√2)(√2) = √2/2
Answer:
9/10
Step-by-step explanation:
you find the lowest common denominator in this case is 10
then you take 1/2 and multiply it by 5 both the bottom and top and then you should get 5/10
next you do the same with 2/5 but this time to the get the denominator to 10 you multiply by 2 again multiply both bottom and top and you should get 4/10
now you just add 4/10 and 5/10 together and you get 9/10 or 0.9 as a decimal
Answer:
It seems as if u have no question
Step-by-step explanation:
