Answer:
(2, 3)
Step-by-step explanation:
2x + 5y = 19
5y = -2x + 19
y = 
P(abscissa, ordinate)
P(x, 1.5x)
P(2, 3)


3 = 15/5
3 = 3
Answer:
Its an Isosceles triangle. The two bases are equal
So
x= 180-(62+62)
x=56°.
Answer:
<u>The original three-digit number is 417</u>
Step-by-step explanation:
Let's find out the solution to this problem, this way:
x = the two digits that are not 7
Original number = 10x+7
The value of the shifted number = 700 + x
Difference between the shifted number and the original number = 324
Therefore, we have:
324 = (700 + x) - (10x + 7)
324 = 700 + x - 10x - 7
9x = 693 - 324 (Like terms)
9x = 369
x = 369/9
x = 41
<u>The original three-digit number is 417</u>
Answer:
here's the solution :-
1.) =》the base of the larger triangle is the length of shadow formed by cactus .
so, length of cactus is : 33 feet.
2.) now, jn the smaller triangle formed by liam and it's shadow : -
=》
since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle
hence, the both triangles are similar
( by A.A postulate )
now since the both triangles are similar, the the sides will be proportional ,
=》

=》

=》

=》

so, length of the cactus = x = 22 feet
We model the ticket as a rectangle.
For this case what you should know is that the perimeter of the rectangle is given by:
P = 2w + 2l
The area of the rectangle is given by:
A = w * l
In both cases:
w: width
l: long
We have the following system of equations:
32 = 2w + 2l
60 = w * l
Solving the system we obtain:
The dimensions of the ticket are:
(10 cm) * (6 cm)
Answer: the dimensions of the ticket are: (10 cm) * (6 cm) Note: see attached image for system solution