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Dafna11 [192]
3 years ago
11

A and b are complementary angles and a and c are supplementary angles. If a=xº, (a) express b and c in terms of x

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Step-by-step explanation:

a + b = 90

a + c = 180

a) If a = x, the. we can write

x + b = 90 and x + c = 180

or

b = 90 - x

c = 180 - x

b) c - b = (180 - x) - (90 - x)

= 180 - x - 90 + x

= 90

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A box of chocolates contains milk chocolates and dark chocolates in the ratio 2:3. The box contains 50 chocolates. How many milk
DochEvi [55]

Answer:

The box contains 20 milk chocolates.

Step-by-step explanation:

Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:

50 / (2 + 3)

50/5

10

Milk chocolates: 2 x 10 = 20

Dark chocolates: 3 x 10 = 30

Therefore, the box contains 20 milk chocolates.

3 0
3 years ago
The mean value of land and buildings per acre from a sample of farms is ​$1300​, with a standard deviation of ​$200. The data se
Whitepunk [10]

Answer:

number of farms are 108

Step-by-step explanation:

4 0
3 years ago
In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the
docker41 [41]
1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70  /* 4
4 x + 2y = 258

4 x + 4 y = 280  (R1)
4 x + 2y = 258    (R2)

2y = 22  /:2      it is R1 - R2
x = 70 - y

y = 11    /motorcycles
x = 70 - 11 = 59  /cars

check:
59 + 11 = 70  ok
59 * 4 + 11 * 2 = 236 + 22 = 258  ok
5 0
3 years ago
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Y greater than or equal to -7
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3 years ago
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In the parallelogram below, AB=2x+8 and CD=5x-1. What is the length of AB?
pshichka [43]

Answer:

AB = CD

BC = DA

Step-by-step explanation:

Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.

7 0
2 years ago
Read 2 more answers
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