Asap! 1. in δabc, m∠a = 90° and an is an altitude. if ab = 20 in and ac = 15 in, find bc, bn, nc, an. 2. in the δabc, ab = 16 in, bc = 9 in, ac = 10 in. ad ⊥ to the extended bc. find cd.

2= 4 1/6

Step-by-step explanation:

draw the diagram and extend BC to D

draw AD

use the Pythagorean Theorem with triangle ADC

call AD "h"

call DC "x"

h2+x2=102

now use the Pythagorean Theorem with triangle ADB

AD=h, AB=16, DB=(x+9)

h^2+(x+9)^2=16^2

from the first equation get h^2=10^2-x^2

from the second equation get h^2=16^2-(x+9)^2

set the two right sides equal to each other because they both equal h2

10^2-x^2=16^2-(x+9)^2

100-x^2=256-x^2-18x-81

cancel -x2 from both sides

100=256-18x-81

100=175-18x

100-175=-18x

-75=-18x

18x=75

x=75/18

x=4.1666... inches or 4 1/6 inches for the length of DC

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.