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MissTica
3 years ago
12

How many triangles exist with the given angle measures? 32°, 51°, 97°

Mathematics
1 answer:
iragen [17]3 years ago
7 0
An average triangle has an exact angle of 180.
The sum of these listed numbers is 180. So, you can make exactly 1 triangle.
I hope this helps!
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The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame
LuckyWell [14K]
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width. 
             Area = Length x Height
              Area = (20 in) x (14 in) 
              Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
         Difference = 280 in² - 192 in²
               difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
      height = 20 in - 2x
      length = 14 in - 2x

The area,
               88 = (20 - 2x)(14 - 2x)

Simplify the right hand side of the equation.
             88 = 280 - 68x + 4x²

Divide the equation by 4,
            22 = 70 - 17x + x²

Transposing,
                x² - 17x - 48 = 0
The factors of the equation is 58.2. 

Thus, the thickenss is equal to 58.2 in
5 0
4 years ago
Geometry.
Harman [31]
Check the picture below.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B9x%2B20%3D0" id="TexFormula1" title="x^{2} +9x+20=0" alt="x^{2} +9x+20=0" ali
Hoochie [10]

Answer:

We have been given an equation x^2+9x+20=0

We will factorize it by  middle term splitting.

Step 1: x^2+5x+4x+20=0

Taking common factors out by clubing first two terms ad last two terms

Step 2: x(x+5)+4(x+5)=0

Step 3: (x+4)(x+5)=0

Equating both above factors to zero as:

Step 4: (x+4)=0\Rightarrow x=-4

   And (x+5)=0\Rightarrow x=-5.

3 0
3 years ago
Read 2 more answers
I need some help on this
Serga [27]
All the answers are on the image attached. there is no work cause i did mental math. the answer to the riddle is typed in yellow at the bottom of the picture
6 0
2 years ago
Read 2 more answers
What expression can be used to find the total discount? Select all that apply. 0.3*42 or 3/10*42 or 0.03*42 or 3 *4.2
ehidna [41]

0.3*42   this gives you a 30% discount

3/10*42  this gives you a 30% discount

0.03*42 this gives you a 3% discount

3 *4.2  This is not a  discount

6 0
3 years ago
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