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2 years ago

Can someone smart help me with this question plz:)

Mathematics

1 answer:

SOVA2 [1]2 years ago

3 0

Answer:

K = 50

L = 90

KML = 40

LMN = 140

Step-by-step explanation:

The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that

5x + 4x + 9x = 180

18x = 180

x = 10

Now that we know the value of x, we can figure out the value of the angles.

K = 5x = 50

L = 9x = 90

KML = 4x = 40

A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180

180 - 4x = 180 - 40 = 140

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What is the value of x?

Elanso [62]

Since all the angles are congruent, the sides must be congruent too.

So, just have one equation on one side equal to another.

5x= 3x+6

Subtract 3x from both sides.

2x=6

Divide 2 into both sides.

x=3.

We can check this by seeing if all the sides are the same.

5(3)= 15

6(3)-5= 15

3(3)+6= 15

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3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

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3 years ago

Solve for the value of v: V+27=117

Fudgin [204]

V+27=117
Subtract 27 to 117:
v=90

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Answer:

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Step-by-step explanation:

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