Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that ∠J and ∠K are complementary and that the measure of ∠J is 45 degrees, 30 minutes, 14 seconds. What is the measure of ∠K?

The measure of ∠K is ______ degrees, ______minutes, and _____ seconds.

Answer:

Here's what you need to know to answer this question:

            If two angles are "complementary"

            then they add up to 90 degrees.

So now you know that

                                    (Angle-J) + (Angle-K) = 90 degrees .

Subtract (Angle-J)

from each side:                              Angle-K = (90 degrees) - (Angle-J)

    Angle-K  =  (90 degrees) minus (48 degrees 26 minutes 8 seconds)

As soon as you do that subtraction, you have the answer.

The thing that makes it tough is subtracting some minutes

and some seconds from 90 degrees.

How you do that is:  An unusual kind of regrouping ('borrowing').

Usually, when you regroup, you take '1' from a place and use it

to make '10' in the smaller place.

This time, when you take '1' from a place, it gives you '60'

in the smaller place.

-- Take 1 degree away from the 90 degrees.

   Use it to make minutes.

   Then you have                  89 degrees  60 minutes .

-- Take 1 minute away from the 60 minutes.

   Use it to make seconds.

   then you have                    89 degrees  59 minutes  60 seconds .

Now the subtraction is a lot easier.

            89 degrees  59 minutes  60 seconds

minus   48 degrees  26 minutes    8 seconds .

That's easy to do, and the difference is the measure of Angle-K.

Step-by-step explanation:

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(pic below)

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Estimate the perimeter of the figure.

A. about 20.5 units

B. about 25.5 units

C. about 32.5 units

D. about 34 units

- Are AADE and AABC similar? Why?
y
4
D
2
A А
E
0
0
2
4
6 8
A. No; the ratio of corresponding sides is
not proportional.
B. No, not all right triangles are similar.
C. Yes; both triangles include the origin
as a vertex.
D. Yes; AADE is a dilation of AABC with
scale factor 1/2.

PLEASE HELP!!

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The volume of a drop of water is approximately 0.05 ml. This value is equivalent to:

A)0,5 . 10^{-1} ml\\
B)0,5 . 10^{-2} ml\\
C)5,0 . 10^{-2} ml\\
D)5,0 . 10^{-1} ml\\

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h = -1612 + 88t + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.

You have two cards with a sum of 0 in your hand. What two cards could
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HELP! i'll give brainliest if it's correct!!

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HELP ME !! WHOEVER GETS THE RIGHT ANSWER I WILL MARK BRAINIEST!!

I need help badly :[

40% of 60 is what number?
Proportion:
Solution:

The questions:
The figure shows the dimensions of a backyard. Find the area.
The area of the backyard is ______ square yards.

Solve the equation:
3x + 1 over 4y2








Please help

You have been saving your allowance to buy a Nintendo Switch. You finally have saved up $400, but then you remember that tax in San Diego is 7.75%. If you plan to purchase a Nintendo Switch for $400, how much more money will you need in order to pay the sales tax?

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A. 33
B. 66
C. 207.4
D. 346.5

help ,me plssss im bad at matrh

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To solve 4.2c = 54.6, you must do which of the following? Choose the correct answer.

a
Multiply 54.6 to both sides of the equal sign
b
Multiply 4.2 to both sides of the equal sign
c
Divide 54.6 to both sides of the equal sign
d
Divide 4.2 to both sides of the equal sign

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The coordinates of point U' are (???)

Absolute value is the ---- from zero on the number line.

Sam walked to a nearby shop to purchase a gallon of ice cream. The shop is 400 meters from his house, and it took him 4 minutes to get there. At the shop, it took 2 minutes to choose a flavor and purchase the ice cream. He walked home in 3 minutes, at a faster pace than before so the ice cream wouldn’t melt.

Draw a graph that models Sam’s distance from home (in meters) in terms of time (in minutes). Label the graph with appropriate intervals and units.

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