Question

I WILL MARK BRANLIEST YALL HELP A STUDENT IN NEED

Answer 1

Answer:

$\huge\boxed{x=4}$

Step-by-step explanation:

Kites are quadrilaterals that have two pairs of two sides that are the exact same length. These sides will be adjacent to one another and therefore they will be the same value.

Looking at the question, we can see that the sides $4x+1$ and $17$ will be two pairs of equal length sides. Therefore, we can solve for x by setting the two equal to each other (as they both will be the same value)

$4x+1= 17$

Now we can solve for x.

• $4x+1=17$
• $4x=16$
• $x=4$

We can double check this by testing in the same way with the second pair of equal sides, $6x-3$ and $21$.

• $6x-3= 21$
• $6x=24$
• $x=4$

Therefore, to make this figure a kite, x=4.

Hope this helped!

Answer 2

Hello! :)

$\large\boxed{x = 4}$

In order for the figure to be a kite, each pair of opposite sides must be congruent. Therefore:

GL ≅ GT, and LO ≅ TO

We can solve for x by setting GL and GT equal to each other:

4x + 1 = 17

Subtract 1 from both sides:

4x = 16

Divide both sides by 4:

x = 4.

Verify that it satisfies LO ≅ TO:

6(4) - 3 = 21

24 - 3 = 21

21 = 21.

Therefore, x = 4.