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likoan [24]
3 years ago
5

FIND THE THE MISSING ANGLE: 56° 82° Х

Mathematics
2 answers:
harina [27]3 years ago
7 0
The answer is 42... you add 56 and 82 then subtract that sum from 180
Over [174]3 years ago
4 0

Answer:

x=42°

Step-by-step explanation:

All sides of a triangle equals 180. so 56+82= 138. 180-138 equals 42

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From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C.
o-na [289]
<h3>Answer: B. 6</h3>

================================================

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

-----------------

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

6 0
3 years ago
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g
just olya [345]

Answer:

The correct option is

The origin is included in the shaded region and the shaded area is below the line.

Step-by-step explanation:

Y>3/2x + 2

Put x=0

Y= 2

(0,2)

Put y=0

X= -4/3

(-4/3,0)

See attached picture for the sketch

3 0
3 years ago
What is the expanded form of this number?
creativ13 [48]

Answer:

I think it's C

Step-by-step explanation:

7 0
3 years ago
what are two equivalent expressions to the following radical expression: (√10 to the 4th power x √12 to the 4th power) to the 8t
brilliants [131]

Answer:

(14400x^4)^8

Step-by-step explanation:

sqrt10 to the 4th is 10^2 or 100, and xsqrt12 to the 4th is 144x^4. Multiply these to get (14400x^4), and take the 8th to get (14400x^4)^8.

3 0
3 years ago
How do I find the volume of L-Blocks?
KIM [24]
You have to multiply to find it 
6 0
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