To find the value of X, simply know that for this parallelogram, the angles on each end that are diagonal with respect to each other are the same. And knowing that the angles in a parallelogram add up to equal 360 degrees. Simply make an algebraic expression equal to the value of 360 and then solve for x.
X + X + (X - 26) + (X - 26) = 360
2X + X - 26 + X - 26 = 360
4X - 52 = 360
4x = 412
X = 103.
The value for X, I believe would be 103 degrees. You can verify this by plugging in the value into both expressions, X and X-26 and see that if adding all the expressions together does it equal 360 degrees.
Answer:
Step-by-step explanation:
sin ∠R = SQ/SR
<u>This is same as:</u>
Correct option is b)
Answer:
s=32
Step-by-step explanation:
15x-31 = 9x+11
6x=42
x=7
2(63+11)= 2(74)= 148
180-148=32
Answer:
L=80
W=20
Step-by-step explanation:
Perimeter = 2×L+2×w
L=w+60
Perimeter - 2×60 = 4×w
200-120 = 80
80/4= w = 20
L=w+60 = 80
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8
Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108
Y= 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8
X = 1.75
To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Hope that helps! Have a good day :)
