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:
$2,400
Step-by-step explanation:
We get 10% of 4,000 by dividing 4,000 by 10.
4,000 ÷ 10 = 400
To get the amount that 4,000 is subtracted by we multiply 400 by 4.
400 × 4 = 1,600
To get the answer we subtract 4,000 by 1,600.
4,000 - 1,600 = 2,400
Hope I helped!
So the easiest way to solve this is to use the straight line provided .
180=90+61+x
180=151+x
29=x
