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s2008m [1.1K]
3 years ago
11

Use a definition, postulate, or theorem to find the value of x in the figure described.

Mathematics
1 answer:
Yuri [45]3 years ago
5 0
The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that 
m∠ABC and m∠CBD = (3x − 6). 
So, you're equation should be (3x - 6) + (3x - 6) = 180. 
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)

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Kim has a recipe for blueberry muffins that uses 125 grams of sugar for 1 dozen blueberry muffins. If Kim makes 48 blueberry muf
Kay [80]

Answer:

2.5 cups

Step-by-step explanation:

125 grams = 12 muffins

48 muffins = x grams

125/12 x 48 = 500 grams

1 cup sugar = 200 g

500g = x cups

500/200 = 2.5 cups

4 0
2 years ago
Read 2 more answers
A cylinder, cone, and sphere are show below. The three figures have the same radius. If the radius is 3, what is each volume?
nexus9112 [7]

Answer:

cylinder = 27π

cone =  9π

sphere = 36π

Step-by-step explanation:

volume of a cylinder = πr²h where r = radius and h = height

height of cylinder (h) = 3 and radius (r) = 3

so volume = π(3)²3

==> simplify exponent

volume = π9(3)

==> multiply 9 and 3

volume of cylinder = 27π

Volume of a cone = πr²(h/3) where r = radius and h = height

height of cone (h) = 3 and radius (r) = 3

so volume = π(3)²(3/3)

==> simplify exponent

volume = π9(3/3)

==> divide 3 by 3

volume = π9(1)

==> multiply 9 and 1

volume of cone = 9π

volume of a sphere = 4/3πr³ where r = radius

radius = 3

so volume = 4/3π(3)³

==> simplify exponent

volume = 4/3π27

==> multiply 4/3 and 27

volume of sphere = 36π

3 0
2 years ago
The lengths of four insects are 0.02 inch,1/8 inch,and 2/3 inch list the lengths in inches from least to greatest
Alex Ar [27]
0.02
1/8 = 0.125
2/3 = 0.667

least to greatest : 0.02, 1/8, 2/3....although, u have only listed 3 insects, not 4
3 0
2 years ago
Is the angles 40,30,110 acute obtuse or right
ikadub [295]
40 is an acute angle.
30 is an acute angel.
110 is an obtuse angle.

The easiest way to remember is anything below 90° (which is a right angle) is acute (think, cute = small). Anything above 180° is obtuse.
4 0
2 years ago
Read 2 more answers
Algebra 2 help please!
mezya [45]

Answer:

h(-8)=1 and -12

Step-by-step explanation:

In this problem, we will need to plug in "-8" for any x we see.

h(-8)=|-8+4|-3

h(-8)= |-4|-3

h(-8)=4-3

h(-8)=1

Yay! We got an answer. However, since there is an absolute value, there is another case -- if x is negative.

h(-8)=-8-4

h(-8)=-12

 

7 0
3 years ago
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