Answer:
x = 40 degrees
Step-by-step explanation:
We are given that AB and CD are parallel to each other and they are cut by a transversal.
The angle 40 is complementary to angle z, so this means that they have the same measure by the complementary angles theorem.
Complementary are angles that occupy the same space on one parallel line compared to the other parallel line.
Angle z = 40 degrees
The answer is 4,000 ft squared because since the sides are 100 ft and 80ft then we need to multiply them which is 8,000 then divide that by 2 since it’s a triangle which is 4,000 ft squared.
11000 or 594+1111 jobs India knacks ka insisss
Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
To tell isf a table is proportional, divide y by x,
if all sets are the same it is proportional.
First table:
3 / -3 = -1
2 / -4 = -2
-1 and -2 are not the same
Table 2:
1/-1 = -1
3/-3 = -1
5/-5 = -1
These are all the same.
Table 2 is correct.