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:
It is 4
Step-by-step explanation:
1) 2/4 = 1/4 + 1/4
2) 4/6 = 1/6 + 1/6 + 1/6 + 1/6
3) 3/5 = 1/5 + 1/5 + 1/5
4) 3/3 = 1/3 + 1/3 + 1/3
5) 7/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
6) 6/2 = 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2
7) 5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6
8) 9/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5
9) 8/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3
10) 1/2 * 8 = 8/2 = 4
11) Unit fractions are fractions where its numerators are 1 and its denominators are positive integer. example: 1/2 ; 1/3 ; 1/4
12) D.) 5/2 = 5 * 1/2
a >= 200
5 a + 2.5 c <=1500
Step-by-step explanation:
Step 1 :
Let c be the number of child t shirt and a be the number of adult t-shirts
Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50
Step 2 :
Inequality 1
Given that Jerome needs at least 200 adult t-shirts .
So the minimum quantity of adult t-shirts should be 200
Hence we have a >= 200
Step 3 :
Inequality 2
Given that the total cost should be less that $1500
We have,
5 a + 2.5 c <=1500
Answer:
Step-by-step explanation:
- <u>Solve equation to find answer(s)</u>
<u></u>
Combine: 6z - 3z = 3z
Add: -2 + 3 = 1
Add 7 to both sides:
Simplify:
Divide both sides by 3:
Simplify:
- M -
