Answer:
<h2>Width of the rectangle is 2</h2>
Step-by-step explanation:
A rectangle can is made up of two right angled triangle as shown.
Since area of a rectangle = 
Area of one of the triangle = 
The length and width of the triangle will be the same as that of the rectangle i.e 5units long and 2units wide
Area of one of the triangle = 
Area of one of the triangle = 5units²
The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.
Answer:
Jennifer age = 20.
Step-by-step explanation:
Given : Jennifer is now 3 years older than Peter. If, in 12 years, the sum of their ages will be 61.
To find : how old is Jennifer now.
Solution : We have given
Let the age of Peter = x .
According to question
Jennifer is now 3 years older than Peter.
Jennifer age = x + 3
After 12 year
Peter age = x + 12
Jennifer age = x + 15
Sum of their age would be 61.
x +12 + x +15 = 61.
2x + 27 = 61 .
2x = 61 - 27.
2x= 34.
On dividing both sides by 2
x = 17
Peter age = 17.
Jennifer age = 20.
Therefore, Jennifer age = 20.
Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
Yes this is equal because 3v+v is 4v and if you divide 12v by 3 you also get 4v
Answer:
1) Equation's:
2) Number of guest and the charge:
- Cost is same for both at 50 meals. The cost is $1250.
<u>Part 1</u>
Turn sentences into equation's (Let 'y' be total cost and x per meal) :
(i) charges $500 and $15 per meal
(ii) charges $350 and $18 per meal
<u>Part 2</u>
y = y
500 + 15x = 350 + 18x
18x - 15x = 500 - 350
3x = 150
x = 150/3
x = 50
Charge at guest's 50 meal:
y = 500 + 15(50)
y = $1250
Point : (50, 1250)
