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:

PLEASE HELP!!

Hungry Joey entered a hot dog eating contest. In 5 minutes, he ate 25 hot dogs. What is the constant of proportionality of hot dogs to minutes?

A.) 5 minutes per hotdog
B.) 25 hotdogs per minute
C.) 0.2 hotdogs per minute
D.) 5 hotdogs per minute

A bouquet has 9 red roses 12 white roses and 2 sunflower. Using the ratio of white roses to total flowers, how many white roses would you have if you had 253 total flowers?

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

Solve the equation:
3x + 1 over 4y2








Please help

What is the circumference of this circle, in centimeters? Use 22/7 for Pi.
A. 33
B. 66
C. 207.4
D. 346.5

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.

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\\

please help i will give 10 points and score as the best!

help me plz ill give brainiest

can someone help me with these three answers?

please help i will rate 5 stars

HELP! i'll give brainliest if it's correct!!

if you can pls answer any of these 6-10 plz do it would really help
(pic below)

Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
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.

what is the solution to this system of equations?

Which set of values are in the solution set of 3x + 2 > 8?

A. 0, 1, 2, 3
B. 1, 2, 3, 4
C. 2, 3, 4, 5
D. 3, 4, 5, 6

I need help badly :[

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

HELP WILL MARK BRAINLIEST I NEED THIS ASAP!!!!!!!


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

Write a multiplication equation that represents the question: how many 3/8's are in 5/4's

I need an equation like asap lol

You have two cards with a sum of 0 in your hand. What two cards could
you have?

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?

- 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.

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

help ,me plssss im bad at matrh

Pls help and explain: I only have 3 chances

H&M was having a huge sale last weekend. Steven bought 2 sweatshirts for $20.00 each. When he got to the register the cashier told him the sweatshirts were 30% off. How much did Steven pay in total?

PLEASE HELP ME OMG: Rectangle QUAD has coordinates Q(0,0), U(0, 3), A(5, 3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U'?
The coordinates of point U' are (???)

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

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

Last month, Bic made $1250. This month he made $2000. Find the percent of change. State whether the change is an increase or decrease.