How to find value of y in polygon JKLM

Mathematics

1 answer:

Yuki888 [10]4 years ago

4 0

Answer:

y = 22.5

Step-by-step explanation:

Here, the 4 angles shown are all exterior angles of the polygon.

The sum of the exterior angles of a polygon is ALWAYS 360°

So we add up the 4 angles (given in terms of y) and sum it to 360 and solve for y:

$4y+2y+6y+4y=360\\16y=360\\y=\frac{360}{16}=22.5$

y = 22.5

You might be interested in

What’s the product of 1/2 x 2/3 x 3/4

lisabon 2012 [21]

1/2 x 2/3 x 3/4 = 1/4

(Sorry, I did the math wrong. I meant 1/4)

7 0

4 years ago

Read 2 more answers

Find the perimeter of the square: 6x + 1

mrs_skeptik [129]

Answer:

Do you have a photo

Step-by-step explanation:

I'll be happy to help

7 0

4 years ago

Please help

Alekssandra [29.7K]

Answer:

25 in x 15 in

Step-by-step explanation:

Given:

Length = 3/5 the width
Area = 375 in²

Let width = $x$

Therefore, length = 3/5 $x$

First create an equation for the area of the picture based on the given information for its width and length:

$\begin{aligned} \implies \textsf{Area of original picture} & = \sf width \times length\\& = x\left(\dfrac{3}{5}x\right)\\& = \dfrac{3}{5}x^2\end{aligned}$

We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for $x$ to find the width of the enlarged picture:

$\begin{aligned}\textsf{Area} & = 375\\ \implies \dfrac{3}{5}x^2 & = 375\\ x^2 & =375 \cdot \dfrac{5}{3}\\ x^2 & =625\\ x & = \sqrt{625}\\ x& = 25\end{aligned}$