Ask question

Ask question

All categories

3 years ago

14

Please help soon! Thanks! Solve for x

1 answer:

EastWind [94]3 years ago

8 0

Answer:

$x=30^{\circ}$

Step-by-step explanation:

Looking at $\triangle LMN$ :

$\angle NML = 180 - (90+45)$ (angle sum of triangle is $180^{\circ}$ )

$=45^{\circ}$

Looking at $\triangle KNM$ :

$\angle KNM = 180-105$ (angle of straight is $180^{\circ}$ )

$=75^{\circ}$

$\angle KNM + \angle NKM + \angle KMN = 180$ (angle sum of triangle is $180^{\circ$ )

$75+2x+45 = 180$

$2x+120 = 180$

$2x=60$

$x=30^{\circ}$

Hope this helps :)

You might be interested in

Determine whether the following statement is a good definition or not a good definition. A shoe is something you wear on your fo

stepladder [879]

Answer:

This is not a good definition, mainly because you put other things on your foot, like socks. So just imagine seeing, something you put on your foot, even though the direct answer would be shoe, there could be confusion there

Step-by-step explanation:

7 0

3 years ago

Joey opened a bank account 5 years ago with $100.

Gelneren [198K]

$200 a year, for the last 5 years, equal $1,000. That is a 20% increase.

8 0

3 years ago

1. Find the area of the square5 cm.

PIT_PIT [208]

The correct answer is 25 cm². The area of a square is l x w, and, since each of the sides is the same length, the formula is 5 x 5.

A = lw Formula for a square
A = (5)(5)
A = 25

The area is 25 cm².

Hope this helps!

4 0

3 years ago

If sin (x + y) = 1 and cos (x - y) = √3/2, then x =

amm1812

Answer:

reference attached

hope it helps you<3

6 0

3 years ago

A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

7 0

4 years ago