What is the missing angle? Please provide an explanation.

64 degrees

Step-by-step explanation:

Lets find the measure of the other angle in the other triangle with measures of 84 and 36.

Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:

84 + 36 = 120

180 - 120 = 60

So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90

90 - 60 = 30

So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.

86 + 30 = 116

180 - 116 = 64

So the missing angle has a measure of 64 degrees

64°

Step-by-step explanation:

all triangles equal 180°

so the first triangle with two angles already know is..

36+84+?=180

120+?=180

180-120=60°

but as you can see when they connect to each other they form 90°

so to find that angle on its own it's (with the triangle with one angle found) it's..

90-60=30°

and as we know all triangles equal 180°, so..

86+30+?=180

116+?=180

180-116=64°

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles