I'll solve 21, and you then should be able to solve the rest on your own!
Since ADC is 135, that means that that whole angle is 135 degrees. In addition, since angles ADB and BDC add up to ADC, we get ADB+BDC=ADC=135=11x+9+7x=18x+9. Subtracting 9 from both sides, we get 126=18x. Dividing both sides by 18, we get x=7. Plugging that into 11x+9=BDC, we get 11*7+9=77+9=86
If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
Answer:
81 pi cm^2
or approximately 254.34 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (9)^2
A = 81 pi
Using 3.14 as an approximation for pi
A = 81 (3.14)
A =254.34 cm^2
I hope you understand my work goodluck :)
i give the answer here
Answer:
188 legs
Step-by-step explanation:
A game of legs!!
In this question, we are asked to calculate the number of legs of animals present in the question.
Let’s first identify the individual brands of animals present. We have ;
4 dogs, 7 bees, 5 cockroaches, 8 spiders, 3 deers, 4 boars and 2 antlers.
A dog has 4 legs; this means total number of legs contributed by the dogs to the pool will be 4 * 4 = 16 legs
A bee has six legs; total number of bees legs is thus 7 * 6 = 42 legs
A cockroach has 6 legs; total number of cockroaches legs is 6 * 5 = 30 legs
8 spiders have a total of 8 * 8 = 64 legs
3 deers, 4 boars and 2 antlers have 4 legs each making a total of 9 * 4 = 36 legs
The total number of legs present is thus; 36 + 64 + 30 + 42 + 16 = 188 legs
