XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.
Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.
Condition to be determined that proves triangles to be congruent by HL.
<h3>What is HL of triangle?</h3>
HL implies the hypotenuse and leg pair of the right-angle triangle.
Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.
Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.
Learn more about HL here:
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In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?
A.
XZ ≅ EG and ∠X ≅ ∠E
B.
XZ ≅ EG and YZ ≅ FG
C.
XZ ≅ FG and ∠X ≅ ∠E
D.
XY ≅ EF and YZ ≅ FG
Answer:
A is the correct solution
Step-by-step explanation:
3x³ + 4x² + 0x - 1 / x - 2
<u> 3 10 20</u>
-2 | 3 4 0 -1
- (<u>3 -6</u>)
10 0
- <u>(10 -20)</u>
20 -1
- (<u>20 -40</u>)
39
3x² + 10x + 20 + 39/(x - 2)
Answer:
√45
Step-by-step explanation:
We know that according to the Pythagorean theory:
a²+b²=c²
I am pretty sure that a is 3 and b is 6. C remains unknown.
3 squared is nine and 6 squared is thirty six. 36+9 is 45.
Since the question says you should leave the answer in radical form, the answer is
c²=45
√c²=√45
This book will really help in Geometry and you can get it anywhere.
I hope this helps!
~°LampteyJ
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 3x - 2 + 2x + 1 ← collect loke terms
= 5x - 1 → A