Answer:
See the paragraph proof below.
Step-by-step explanation:
Quadrilateral JKLM is given as a parallelogram. By a theorem, opposite sides JK and LM are congruent (1). By the definition of parallelogram, opposite sides KJ and ML are parallel. By the theorem on alternate interior angles, angles KJL and MLJ are congruent (2). Segments JN and PL are given as congruent (3). Using the three statements of congruence labeled above (1), (2), and (3), we now prove that triangles JKN and LMP are congruent by SAS. Sides of the triangles KN and PM are congruent by CPCTC. Sides of quadrilateral KNMP are given as parallel. Therefore, quadrilateral KNMP is a parallelogram by the theorem: If two sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a parallelogram.
7 ft 6 in = 90 in
10t ft = 120 in
A = 90 x 120 = 10800 in^2
10800 in^2 = 75 ft^2
answer
C. 75 ft^2
Answer: Q"(10,10) , R"(35,10), S"(35,25) , T"(10,25)
Step-by-step explanation:
Given: On the blueprint, 1/4 inch equals 1 foot in the actual house.
Therefore, 1 inch of blue print = 4 feet of room.
The coordinates of the room will be [multiply 4 to the coordinates of rectangle]
Q(2,2)→ Q'(8,8)
R(7,2)→R'(28,8)
S(7,5)→S'(28,20)
and T(2,5) →T'(8,20)
The homeowner wants this room to be 25% larger.
Let x be the dimension of current room. then the dimension of new room= x+25% of x
=x+0.25x=1.25x
So for dilate the room by 25% multiply 1.25 on the coordinates of the enlarged room , we get
Q'(8,8)→Q"(10,10)
R'(28,8)→R"(35,10)
S'(28,20)→S"(35,25)
T'(8,20)→T"(10,25)
Answer: l=m + 11
Step-by-step explanation:
Let (l) represent the weight of lisa's dog,
Since Lisa's dog is 11 pound heavier than Marcia's dog
Then l = m + 11
Answer:
x=1 y=-5
Step-by-step explanation:
7(5x-2y=15) ---> 35x-14y=105
2(7x+7y=-28) --> + <u>14x+14y=-56</u>
49x=49 --->x=1
5(1)-2y=15 ---> 5-2y=15 ---> -2y=10 ---> y=-5
