The Length would be 3
5+5= 10
16-10 =6 / 2 =3
False, it does not change the shape of the figure, it only changes the size
I believe the correct answer would be that it has one solution which is 5. Calculating x for the quadratic equation, you will only get one value so it should be one solution. Hope this answers the question. Have a nice day.
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
Answer:
a testable proposition that explains an observed phenomenon or answers a question
Step-by-step explanation:
Basically an hypothesis is a theory given as a solution to a question proposed by a problem in from of you, but that it needs testing before it can be taken as truth or not
