The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a HL congruence correspondence?

A. ∠M≅∠H
B. LM≅JK
C. LM≅JH
D. LN≅JK
(there is a line above the letters besides a)

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15