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3 years ago

Last two answer for both or no brainleist

Mathematics

2 answers:

Neporo4naja [7]3 years ago

7 0

4.9 is 14 answer

0.564 is 15 answer

professor190 [17]3 years ago

6 0

Answer:

IM NOT SURE BUT DO U GO TO GEM PREP

Step-by-step explanation:

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Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL

Mice21 [21]

Answer:

$KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47$

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

$\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}$

Also

$m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ}$ (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

$NL=45\tan 50^{\circ}$

$m\angle KLN=m\angle LNM=40^{\circ}$ (alternate interior angles)

$m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ}$ (angles KNL and KLN are complementary).

So,

$\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08$

and

$\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47$

3 0

3 years ago

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Find the area of the shape shown below.

mina [271]

Answer:

28 square units

Step-by-step explanation:

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Identify the solution(s) of the system of equations, if any.<br> -6x - 4y = 12<br> 12y = -18x - 36

UkoKoshka [18]

$-6x - 4y = 12|\div 2\\
12y = -18x - 36|\div 6\\\\
-3x-2y=6\\
2y=-3x-6\\\\
-3x-2y=6\\
-3x-2y=6$

Both equations are equivalent, so there are infinitely many solutions.

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3 years ago

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the seco

IrinaK [193]

First number=1/2x+3
first number=1/4x+5

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3 years ago

-2=-(n-8) need help to answer this

Neporo4naja [7]

The answer is n=10 I already did this

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