The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of y that makes the two pieces similar. Triangle GHI is shown with sides GH marked as 4, GI marked as 6, and HI marked as x. Triangle JKL is shown with sides JK marked as 8, JL marked as y, and KL marked as z. Numerical Answers Expected! Answer for Blank 1:

Step-by-step explanation:

Given

Triangles GHI and JKL

See attachment for illustration

Required

Find the value of y

We have:

Sides GH and JK are similar

Sides GI and KL are also similar

Since both triangles are similar, then the ratio of similar sides must be equal.

Equate both ratios

Substitute values for GH, GI, JK and JL

Convert to fractions

Cross Multiply

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.