To prove that <span>AEC≅ AED, we need to write following proofs or statement reasons.
It is given that points C and D are equidistant to point A. Hence,
</span><span>AD ≅ AC
Next, </span><span>CAE ≅ DAE. AE is the common side or the included side.
</span><span>
Then, </span><span>AE ≅ EA by Reflexive Property of Congruence as it is congruent to itself.
Lastly, </span><span>EAD ≅ EAC by Symmetric Property of Congruence as these triangles are mirror image of each other.
</span>
Therefore, we can conclude that AEC≅ AED by SSS or Side-Side-Side. That is when all sides of triangles are congruent then both triangles are deemed to be equal.
The cost of the food bill is $60 and the equation that best describe the situation is (x + 16)/8 = 76/8.
<h3>Which equations and solutions describe the situation?</h3>
Given that;
- A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16.
- They decided to split the bill and tip evenly among themselves.
- Let x be the food bill.
If x is the food bill, then;
food bill + tip = $76
x + $16 = $76
Since they decided to split the bill and tip evenly among themselves
(x + 16)/8 = 76/8
We can solve for the food bill 'x'
(x + 16)/8 = 76/8
(x + 16)/8 = 9.5
(x + 16) = 9.5 × 8
x + 16 = 76
x = 76 - 16
x = 60
Therefore, the cost of the food bill is $60 and the equation that best describe the situation is (x + 16)/8 = 76/8.
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Answer:
<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>
Step-by-step explanation:
<u>System of Equations</u>
Consider the following system of equations
2x + 3y = 8 [1]
3x + y = -2 [2]
And the point (1,2). Substituting in both equations:
For equation [1]:
2*1 + 3*2 = 8
2 + 6 = 8
8 = 8
Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8
Now for equation [2]:
3*1 + 2 = -2
3 + 2 = -2
5 = -2
Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2
Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
Your proportion would be 13/3 =x/4,000.
Answer:
1.8
Step-by-step explanation:
(2x90):100
180:100 = 1.8