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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.
Learn more about the HL congruence theorem on:
brainly.com/question/2102943
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To work out how many miles the distance from the airport to the beach, we can use 1km ≈ 0.62 miles
To get from 20km from 1km, we multiply by 20
If we do the same to 0.62
0.62 x 20 = 12.4 miles
Next step is to add this on to the 500 miles they travelled by plane
500 + 12.4 = 512.4 miles
Answer:
The squirrel maximum height (h) = 21.125 ft
Step-by-step explanation:
The objective of this question is to determine the squirrel's maximum height.
Given that:
h = -2t² + 9t + 11
Differentiating h with respect to t, we get;
At the time dh/dt = 0, the velocity is maximum
Thus;
-4t = -9
4t = 9
t = 9/4
t = 2.25 seconds
From;
h = -2t² + 9t + 11
h = - 2(2.25)² + 9(2.25) + 11
h = - 10.125 + 20.25 + 11
h = 21.125 ft
Answer:
1/2
Step-by-step explanation:
the dilation factor should be 1/2
- if u count the dots on the sides of the preimage there are 2 dots that's the length
- if u count the dots on the real image it's 4
- therefore 2/4 to it's lowest term is 1/2
- so 1/2 is the scale factor
