Answer:
Angle DEB: 52
Angle ADB: 30
Angle CBE: 52
Angle BEC: 38
Step-by-step explanation:
Angle DEB = 52 because triangles' angles must add up to 180. Angle ADB is 30 because it is complementary to angle BDE. Angle CBE is 52 because angle BEC is complementary to BED which is 52 degrees to BEC is 38 degrees. since the angles add up to 180, and C is 90, CBE is 52. Finally, BEC is 38 because it is complementary to BED.
Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12
Answer:
755 or more
Step-by-step explanation:
The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.
Let x represent the number of puppets sold. Then the costs are ...
... 76.25 + 2.25x
The revenue is 5x.
The above-described relationship can then be written as
... 5x -(76.25 +2.25x) ≥ 2000
... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms
... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x
... x ≥ 755
755 or more puppets must be sold to earn $2000 or more.
Answer:
144 ways
Step-by-step explanation:
Number of paintings = 7
Renaissance = 4
Baroque = 3
We are hanging from left to right and we will first hang Renaissance painting before baroque painting.
For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24
For baroque we have 3! Ways of doing so. 3x2x1 = 6
We have 4!ways x 3!ways
= (4x3x2x1) * (3x2x1) ways
= 144 ways
Therefore we have 144 ways to hang the painting.
9 is D
10 is either a or b
