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Leno4ka [110]
2 years ago
10

What is the measure of the missing angle

Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0

Answer:

115°

Step-by-step explanation:

<u>Exterior Angle Theorem</u> states that the sum of the two remote angles in a triangle is equal to the exterior angle.

  • Thus, 75 + 40 = 115°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren ⚘

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GuDViN [60]
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)
6 0
2 years ago
Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function? a.–2 b.–1 c.1 d.
dalvyx [7]
To solve the problem shown above you must apply the following proccedure:

 1. You have the following function given in the problem:

 <span> f(x)=x3–3x–2

 2. When you give values to the x and plot each point obtained, you obtain the graph shown in the figure attached.

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<span>
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3 years ago
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b: 15.5563492

c: 17.8885438

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3 years ago
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valentina_108 [34]
When you have the same denominator. Other than that have different denominators will not be possible.
5 0
3 years ago
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IceJOKER [234]

P= 2(2w+4)+2w
P=4w+8+2w
P= 6w+8 is the answer 
6 0
3 years ago
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