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2 years ago

If 10=1/5x, then x+3=. Explain your reasoning

Mathematics

1 answer:

Daniel [21]2 years ago

6 0

If I can see good, then : 10 = 1/5x

50x = 1

x = 1/50

x + 3 = 1/50 + 3 = 1/50 + 150/50 = 151/50

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What does n mean in -10(n-5)=40

sergejj [24]

Distribute -10
-10n - 50 = 40
Add 50 to both sides
-50 + 50 would cancel
- 50 + 40 = -10
Divide by -10
-10/-10 = 1
N=1

3 0

2 years ago

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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

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

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2 years ago

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Expand 4x(7x-11) expand 3x(7-5x) Can someone help me with tge questions above?

melamori03 [73]

( 7 x - 11 )

( 7 - 5x )

4 0

3 years ago

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In a right triangle one acute angle measures 48 more than 2 times the other. If the sum of the measure of the two acute angles m

Ainat [17]

A given angle measures 90°.. Then, note that the total measurement of the triangle is 180°... Subtract 180° by 90°, and the other angles must add up to 90°!

Good luck!

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2 years ago

13x - 3 4. 6x + 1 68

Rasek [7]

Answer:

= -21.6x + 168

Step-by-step explanation:

Combine Like Terms

13x -34.6x + 168

13x + - 34.6x + 168

(13x+ -34.6x) + 168

-21.6x + 168

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2 years ago