Jkfyuqgyud PLEASE HELP WITH THE HIGHLIGHTED QUESTION

296 and 22

Step-by-step explanation:

111/6 = 18.5 according to the chart given, so

x/16 = 18.5.

Multiply both sides by 16 to isolate x.

x = 296

check work:

296/16 = 18.5

do the same to 407:

407/x = 18.5

Mulitply both sides by x.

407 = 18.5x

divide both sides by 18.5 to isolate x.

22 = x

check work:

407/22 = 18.5

a. is correct

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²