This shape is a kite. Calculate the value of a.
I will give the brainliest to the correct answer!

There are four angles in a kite.

The value of a to make the shape a kite is .

The sum of angles in a kite is

So, we have:

Add like terms

Divide both sides by 5

Hence, the value of a is

Read more about kites at:

link

a = 72

Step-by-step explanation:

the sum of a four-sided polygon's angles equal 360°

so you can add all four angles together and set them equal to 360

a + a + a + 2a = 360

5a + 360

a = 360/5

a = 72

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: