Answer:
Part 1)

Part 2)


Step-by-step explanation:
we know that
In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary
Part 1)
<u>Find the value of x</u>
----> opposite sides are congruent
solve for x
<u>Find the value of m</u>
----> consecutive angles are supplementary
solve for m

Part 2)
<u>Find the value of x</u>
---> opposite sides are congruent
using a graphing tool
see the attached figure N 1
The solutions are

<u>Find the value of m</u>
---> opposite sides are congruent
solve for m
using a graphing tool
see the attached figure N 2
The solutions are

Answer:
<h2> The cost of a candy is $1.25</h2>
Step-by-step explanation:
given the total amount at hand is $25
let the price of candy be x
then the cost of 3 candy will be 3x
the cost of a candy snake is $12.50.
balance at hand after the end of buying $8.75
the total expenses summed up must equal the initial amount at hand which is $25
the expression for the scenario is 3x+12.5+8.75=25
3x+21.25=25
3x=25-21.25
3x=3.75
x=3.75/3
x=$1.25
The cost of a candy is $1.25
Answer:
f(x) = 3x^2 -21x +36
Step-by-step explanation:
The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...
f(x) = 3(x -3)(x -4)
Multiplying this out, we get ...
f(x) = 3(x^2 -7x +12)
f(x) = 3x^2 -21x +36
Option C: x = 5.5 is the value of x
Explanation:
Given that CD, AE, an BF are the medians of the triangle ABC
Also, given that
and 
We need to determine the value of x.
Since, we know that the centroid divides the median in the ratio 2 : 1
Hence, we have,

Substituting the values, we get,

Simplifying, we get,

Subtracting both sides of the equation by 2x, we have,

Adding both sides of the equation by 5, we have,

Dividing both sides of the equation by 2, we get,

Therefore, the value of x is 5.5
Hence, Option C is the correct answer.