Two angles are complementary. The measure of the larger angle is 5 more than 4 times the measure of the smaller angle.

Large Angle = 73°

Small Angle = 17°

Step-by-step explanation:

Set up equations:

90 = x + y

Where x is the larger angle and y is the smaller angle

(The sum of these angle is 90 degrees because they are complementary)

x = 5 + 4y

Where x is the larger angle and y is the smaller angle

Make the equation equal to x:

90 = x + y

Subtract y on both sides:

90 = x + y

-y         -y

90 - y = x

Now, we can set the two equations equal to each other.

x = 5 + 4y

90 - y = x

5 + 4y = 90 - y

Add y on both sides:

5 + 4y = 90 - y

   +y             +y

5 + 5y = 90

Subtract 5 on both sides:

5 + 5y = 90

-5           -5

5y = 85

Divide by 5 on both sides:

5y = 85

/5     /5

y = 17

Therefore, the smaller angle measures 17°.

We can substitute this angle measure into one of the equations to find the value of x. Let's use 90 - y = x.

Substitute:

90 - y = x

90 - 17 = x

Subtract:

73 = x

Therefore, the measure of the larger angle is 73°.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

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'.