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PilotLPTM [1.2K]
3 years ago
10

Let (3x+24) represent the measure of an obtuse angle. What are the possible values of x?

Mathematics
2 answers:
avanturin [10]3 years ago
5 0
<span>180>3x+24>90 
 -24              -24
156>3x>66 
/3      /3    /3
52>x>22 
possible values of x are any number greater than 22, but less than 52 </span>
ra1l [238]3 years ago
3 0

Answer:

  22 < x < 52

Step-by-step explanation:

An obtuse angle has a measure between 90 and 180 degrees. This means ...

  90 < 3x+24 < 180

  30 < x+8 < 60 . . . . . . divide by 3

  22 < x < 52 . . . . . . . . subtract 8

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AnnyKZ [126]

Answer:

60

Step-by-step explanation:

4 0
3 years ago
I need help with this. I'll mark brainliest to whoever is correct
zaharov [31]

Answer:

As shown in picture, the area is divided into 4 parts: 3 triangles and 1 rectangles.

Total area:

A = smallest triangle + medium triangle + largest triangle + rectangle

   = 2 x 2 x 1/2 + 2 x 6 x 1/2 + 4 x (2 + 2 + 6) x 1/2 + 2 x 2

   = 2 + 6 + 20 + 4

   = 32

Hope this helps!

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8 0
3 years ago
haru rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in t
Bezzdna [24]

Using the given information and what we know about linear equations, we will find the sketch below.

<h3>How to sketch a graph?</h3>

Here we need to analyze each part separately.

In a coordinate axis where the y-axis represents distance and the x-axis represents time, we will have that:

First, we know that he rides for 30 minutes at a given speed, this will be represented with an increasing linear function.

Then he stops for 20 minutes, this is represented with a horizontal line.

Finally, he returns the motion, but slower than before, so the slope of this line will be smaller than the first one.

So for 0 to 30 we have an increasing linear equation, then for 30 to 50 we have a constant horizontal line, then for 50 to 80 we have another increasing linear equation

The sketch can be seen below.

If you want to learn more about linear equations, you can read:

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6 0
2 years ago
Can someone help me with 1&amp; 2 will mark brainiest
melamori03 [73]
Sin 45° = opposite side / hypotenuse

1/2 = 8/h
h = 16

2)6/12 = 1/2
1/2 = sin 45°

6√3/12 = √3/2
√3/2 = cos 30°

Sum of angles of triangle = 180°
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Angles = 30° , 45° , 105°


7 0
3 years ago
Which equation shows the commutative property of addition?
anygoal [31]

Answer:

4+3=3+4

Step-by-step explanation:

The commutative property of addition says that, the order in which you add two real numbers does not matter.

Let a,b\in \mathbb R, then

a+b=b+a

From the given options;

4+3=3+4

shows the commutative property of addition

7 0
3 years ago
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