see the picture attached to better understand the problem
we know that
two tangent segments drawn from the same exterior point are congruent
so
JA=JB ,
LA=LC,
KC=KB
JA=13 units
LA=7 units
kC=10 units
hence
perimeter = JA+JB+LA+LC+KC+KB------> 13+13+7+7+10+10------> =60 units
therefore
the answer is
the perimeter of triangle JKL is 60 units
320
I am positive it's correcf
The first thing we are going to do to find the total cost of the meal before tax:
Total cost before tax = $8.99 + 2($14.99) + $12.99 + 3($1.99)
Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97
Total cost before tax = $57.93
Regarding the 15% gratuity, remember that the unofficial rule for tipping at restaurants is to tip according to the actual value of the meal and not the tax, so we calculate the value of the tip first, and then we add it to the total at the end of our calculations.
Tip = 15%($57.93) = $8.69
Now, lets calculate the tax
Tax = 7.5%($57.93) = $4.34
Finally, we can calculate the total cost of the meal
Total cost = cost before tax + tip + tax
Total cost = $57.93 + $8.69 + $4.34 = $70.96
We can conclude that the correct answer is a. $70.96
Answer:
5k and -3k are like variables
constants 7 and -2 are like terms
5+2k+n is equivalent expression
Step-by-step explanation:
Answer: -7twice
Step-by-step explanation:
This is a question on root of quadratic equation. The interpretation of the question
x² 14x + 49 is
x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.
We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods
x² + 14x + 49 = 0
Now, find the product of the first and the last terms, is
x² × 49 = 49ײ
Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.
We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .
49x² = 7x × 7x and the sum gives 14x the middle terms..
Now we now replace the middle one by the factors and then factorize by grouping.
x² + 14x + 49 = 0
x² + 7x + 7x + 49 = 0
x(x + 7) + 7(x + 7) = 0
(x + 7)(x + 7). = 0
Now to find this value of x,
x + 7 = 0
x. = -7twice.
The root of the equation = -7twice.
