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3 years ago

PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.

Mathematics

1 answer:

Masteriza [31]3 years ago

6 0

Complementary angles add up to 90 degrees therefore 90-24=66 so 66 will be your answer.

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Name an angle bisector shown in the figure. DE AB GB CF

expeople1 [14]

Answer:

Step-by-step explanation:

we know that

An angle bisector is a line that divide an angle into two equal angles.

In this problem

$m\angle ACF=m\angle FCD$ ---> given problem

$m\angle ACD=m\angle ACF+m\angle FCD$ ---> by addition angle postulate

CF is an angle bisector of angle $m\angle ACD$

6 0

3 years ago

HELP FOR BREANTEST ANSWER ON PAPER

nevsk [136]

Answer:

3 3/7

Step-by-step explanation:

2 = 14/7

14/7 + 10/7 = 24/7

24/7 simplified is 3 3/7

8 0

2 years ago

The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integ

Nutka1998 [239]

Answer:

equation: (x-3) +(x-1) +(x+1) +(x+3) = -72
values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

(x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

-18-3 = -21
-18-1 = -19
-18+1 = -17
-18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

(x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

4x +12 = -72 . . . . . collect terms

4x = -84 . . . . . . . . subtract 12

x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

3 0

3 years ago

Which of the following are the subset of ,B={1,2,3,4,5,6,7,8,9,10}.

Verdich [7]

Answer:

A, C, T

Step-by-step explanation:

A subset simply means a set of which all of its elements are contained in a larger set :

To obtain the subsets of B={1,2,3,4,5,6,7,8,9,10}.

We observe the smaller sets whose entire elements can be found in B

D={0,2,4,6,8,10,12} = not a subset of B ; B does not contain 0

A={5,6,7} = subset of B, all elements Cann be found in B

C={2} = subsets of B, 2 can be found in B

T={1,2,3,4,5,...,8} = subset of B; all elements can be found in B

4 0

2 years ago

You have 36 coins. the ratio of heads to tails is 3 to 1. how many coins are heads?

pentagon [3]

3 + 1 = 4. 36/4=9. 3×9=27. There were 27 heads.

7 0

3 years ago