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12345 [234]
2 years ago
10

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
hodyreva [135]2 years ago
6 0
<h3>Key points :-</h3>

✪ Both triangles will be proven similar by AA theorem i.e. Angle-Angle theorem.

✪ The symbol for similarity is ~.

✪ The symbol for congruency is ≅.

\rule{300pt}{2pt}

  • <em>D</em><em>e</em><em>t</em><em>a</em><em>i</em><em>l</em><em>e</em><em>d</em><em> </em><em>s</em><em>o</em><em>l</em><em>u</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em>!</em><em>!</em>

\large{|\underline{\mathtt{\red{A}\blue{n}\orange{c}\pink{i}\blue{e}\purple{n}\green{t}\red{E}\blue{n}\orange{i}\green{g}\red{m}\purple{a}\pink{29}}}}

Anettt [7]2 years ago
4 0

Answer :

Both triangles will be proven similar by AA theorem  i.e. Angle-Angle theorem.

  • The symbol for similarity is ~.
  • The symbol for congruence is≅
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State the value of the discriminant for the equation,<br> 3x^2 + 7x + 3 = 0
Irina-Kira [14]

Answer: 13

Step-by-step explanation:

If you remember the quadratic equation formula;

x=\frac{-b\frac{+}{}\sqrt{b^2-4ac}  }{2a}

You can easily extract what is under the root to find the discriminant.

b^2-4ac=?\\

a = 3

b = 7

c = 3

(7)^2-4(3)(3)\\49-36=13

7 0
3 years ago
Solve by the linear combination method (with or without multiplication) <br> 2x+3y= -17, 5x+2y = -4
Amiraneli [1.4K]
2x+3y= -17 
5x+2y= -4
You must cancel either the x or y out to solve so i'm going to cancel the x. 
-5(2x+3y= -17)
2(5x+2y= -4)
This simplifies to: 
-15x -15y=85
15x+4y= -8
The -15x and 15x cancel out leaving you: 
-15y=85 
4y= -8
You add them top numbers by the bottom and get: 
-11y=77
Then divide by -11 to get y by its self.
y= -7
Now that you know what y is just plug it in to either original problem. I will use the second one. 
5x + 2(-7) = -4
5x -14 = -4
5x = 10 
x = 2
So the answer is (2,-7) or x=2 and y=-7
6 0
3 years ago
Read 2 more answers
Travis has a budget of $300 that he can spend on perennial flowers and at least 6 annual flowers. Perennial flowers are 18 dolla
boyakko [2]

Answer:

  • 18x + 15y ≤ 300
  • x ≥ 0; y ≥ 6

Step-by-step explanation:

Variables are defined in the problem statement.

  18x +15y ≤ 300 . . . . total budget

  y ≥ 6 . . . . . . . . . . . .  minimum number of annuals

  x ≥ 0 . . . . . number of perennials cannot be negative

This system of inequalities describes the situation.

6 0
3 years ago
Sara had 324 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost?
larisa86 [58]
Each book costs $34 for this problem you need to first subtract 18 from 324 which gets you 306 then divide 306 by 9 and you get 34
7 0
3 years ago
Read 2 more answers
Which expression is equivalent to (4x^3y^5)(3x^5y)^2 ?
barxatty [35]

(3x^5y)^2=

3^2=9

(x^5)^2=x^10

y^2=y^2

(3x^5y)^2=9x^10y^2

9x^10y^2(4x^3y^5)=

9*4=36

x^10*x^3=x^13

y^2*y^5=y^7

9x^19y^2(4x^3y^5)= 36x^13y^7

Final answer: 36x^13y^7

3 0
3 years ago
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