Answer:
150°
Step-by-step explanation:
Consider OACB,
Here <CAO =<CBO= 90° ( As they are tangents)
<ACB= 30°
Now, <CAO +<CBO+<ACB+x= 360°
90°+90°+30°+x= 360°
x= 150°
Hope it helps
Answer:
Step-by-step explanation:
Given system of equations:
To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:
Factor the quadratic:
Apply the <u>zero-product property</u> and solve for x:
Substitute the found values of x into the <u>second equation</u> and solve for y:
Therefore, the solutions are:
Answer:
x + y = 5
<u>3x - 4y = 8</u><u> </u><u> </u><u> </u>
3x + 3y = 15
<u>3x - 4y = 8 </u>-
7y = 7
y = 1
x + y = 5
x + 1 = 5
x = 4
x = 4
y = 1
Hope it helps!
The expressions that represent number of tiles that Devon used on her mosaic:
A. 20 + 2t + 2c
D. 20 + t + t + c + c
<h3>What is an expression?</h3>
An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.
For the expressions that represent number of tiles that Devon used on her mosaic:
- Let the triangle tiles be t.
- Let the circle tiles be c.
- Two rows of t triangle tiles = t + t = 2t.
- Two rows of c circle tiles = c + c = 2t.
Mathematically, the expression is given by:
Total tiles = 20 + t + t + c + c
Total tiles = 20 + 2t + 2c.
Read more on expressions here: brainly.com/question/12189823
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Complete Question:
Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.
Pick all the expressions that represent how many tiles Devon used on her mosaic.
A. 20 + 2t + 2c
B. 20 + 4 ( t + c )
C. 2 ( 20 + t + c )
D. 20 + t + t + c + c
