Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
<h3>What is an Isosceles Triangle?</h3>
A triangle with two equal sides and two equal base angles is described as an isosceles triangle.
<h3>What is the Distance Formula?</h3>
The formula for finding the distance between two coordinate points is called the distance formula, and it is expressed as:
.
Given the vertices of the angles of triangle LMN as:
- L(-2, 4),
- M(3, 2),
- N(1,-3)
Use the distance formula to find the length of each side of the triangle.
LM = √[(3−(−2))² + (2−4)²]
LM = √[(5)² + (−2)²]
LM = √29 units
MN = √[(3−1)² + (2−(−3))]²
MN = √29 units
LN = √[(−2−1)² + (4−(−3))²]
LN = √(−3)² + (7)²]
LN = √(9 + 49)
LN = √58 units
Isosceles triangles have two equal sides. Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
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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:
Yes, it is a solution
Step-by-step explanation:
9x+7y=-11
-2x-5y=30
substitute 5 for x and -8 for y and test:
9(5)+7(-8)=-11
45-56=-11 , this is true
-2(5)-5(-8)=30
-10+40=30 , this is true also