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:
2,800 CUV cars were sold
Step-by-step explanation:
7 out of 10 are CUV
Total sold are 4,000
Set them equal to each other:

Cross multiply:


Solve for x:

x = 2,800
Plant B is
feet tall.
Step-by-step explanation:
Given,
Height of plant A = 
This is 4/5 of height of plant B.
Let,
x be the height of plant B.

Multiplying both sides by 

Plant B is
feet tall.
Keywords: fraction, height
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Answer:
1st page: Less than (<)
2nd option: 1st and 2nd option
Step-by-step explanation:
1st page: Not up to 12 visitors
n < 12
2nd page:
-2 > -10
-8 > -10
3rd page:
b < 11 (The board is shorter than 11 centimeters)
b > 11 (The box contains more than 11 books)
b < 12 (There are fewer than 12 beetles in a jar)
b > 12 (The building is taller than 12 feet)
4th page
Choose the arrow pointing left and no shaded dot and place it on 20.2
The answer is .36363636363