Find the result when −18 − 4 is added to 4 − 14.

Mathematics

2 answers:

Temka [501]3 years ago

7 0

The answer is -32

Hope this helps!!

salantis [7]3 years ago

5 0

(-18-4)+(4-14)
(-22)+(-10)
-22-10
-32

hope this helps! :)

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4x^2-y^2 how do you factorize this? with steps pls:)

Black_prince [1.1K]

<h3>Answer: (2x-y)(2x+y)</h3>

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Work Shown:

4x^2 - y^2

(2x)^2 - (y)^2

(2x-y)(2x+y)

When going from the second step to the third step, I used the difference of squares rule. That rule is a^2-b^2 = (a-b)(a+b). In this case, a = 2x and b = y.

Side note: (2x-y)(2x+y) is the same as (2x+y)(2x-y). We can multiply in any order.

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3 years ago

Is triangle MNL congruent to triangle QNL? Why or why not? Yes, they are congruent by either ASA or AAS. Yes, they are both righ

sergij07 [2.7K]

See the attached figure which represent the rest of the question.
The rest of the question is the attached figure.
==============================================
As shown in the attached figure:
(1) ΔMNL is a right triangle at ∠MNL and ∠NML = 58°
∴ ∠L = 180° - (90°+58°) = 32°

(2) ΔQNL is a right triangle at ∠QNL and ∠QLN = 32°
∴ ∠Q = 180° - (90°+32°) = 58°

So, for both of ΔMNL and ΔQNL
1. ∠NLM = ∠ NLQ = 32°
2. ∠Q = ∠M = 58°
3. side NL = side NL
∴ ΔMNL is congruent to ΔQNL by AAS

=======OR=======

So, for both of ΔMNL and ΔQNL
1. ∠MNL = ∠QNL = 90°
2. side NL = side NL
3. ∠NLM = ∠ NLQ = 32°
∴ ΔMNL is congruent to ΔQNL by ASA

=====================================
So, the correct answer is the first option

Yes, they are congruent by either ASA or AAS