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
I believe it’s 5xy since all the numbers are factors of five and since each number contains the variables xy.
1. 6×(3+2)÷10 = 3
Work:
3+2 = 5
6 × 5 = 30
30 ÷ 10 = 3
2. 12-(3×3)+11 = 14
Work:
3 × 3 = 9
12 - 9 = 3
3 + 11 = 14
3. (10×0.4) + (10×0.8) = 12
Work:
10 × .4 = 4
10 × .8 = 8
8 + 4 = 12
4.(8 ÷ 4)×(4-2) = 4
Work:
8 ÷ 4 = 2
4 - 2 = 2
2 × 2 = 4
5.8.5-10÷2 = 3.5
Work:
10 ÷ 2 = 5
8.5 - 5 = 3.5
6.18-(8÷2)+25 = 39
Work:
8 ÷ 2 = 4
18 - 4 = 14
14 + 25 = 39
Answer:
12
x
^3
y^
2
Step-by-step explanation:
