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:
41/6
Step-by-step explanation:
-12+81=-1+6(2a-2)
first distribute:
-12+81=-1+12a-12
combine like terms:
<u>-12+81</u>= <u>-1</u>+12a<u>-12</u>
69=-13+12a
add -13 with 69:
82=12a
divide 82 and 12:
82/12= 41/6
<u>Answer:</u>
Both Sally ans Manny can detail a car in 20.6 min.
<u>Solution:
</u>
Let us assume that together they will take total x minutes to detail the car.
Sally detail the car in 50 min.
So in 1 min sally can detail \left(\frac{1}{50}\right) of the car.
Hence in x min sally can detail \left(\frac{x}{50}\right) of the car.
Manny can detail a car in 35 min.
So in 1 min many can detail \left(\frac{1}{35}\right) of the car.
Hence in x min Manny can detail \left(\frac{x}{35}\right) of the car.
So we can say,
\left(\frac{x}{50}\right)+\left(\frac{x}{35}\right)=1
x\left(\frac{1}{50}+\frac{1}{35}\right)=1
x\left(\frac{7+10}{350}\right)=1
\left(\frac{17 x}{350}\right)=1
x=\left(\frac{350}{17}\right)=20.5
8
20.6
So, both of them can detail a car in 20.6 min.
Answer:
24
Step-by-step explanation:
x+120+36=180
x+156=180
x=180-156
x=24
