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Setler [38]
3 years ago
5

ABCD is a trapezium with AB parallel to CD. Find the value of x and the value of y.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

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Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?
vladimir1956 [14]

Answer:

29.7 is the standard deviation :)

4 0
3 years ago
Solve 10(1 + 3b) = −20, justifying each step with an algebraic property.
Delicious77 [7]
The correct answer is B = -1

10(1 + 3B) = -20

10 + 30B = -20

-20 - 10 = -30

30B = -30

B = -1


Hope this helps :)
4 0
3 years ago
Can someone please help me with these questions!! Thanks,
fiasKO [112]

6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1

6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)

6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)

6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²

8 0
3 years ago
How many points on the graph represent a relative minimum? please help
Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
  • The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
  • If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
8 0
2 years ago
May someone please help me with this Math problem, Thank you
Semmy [17]

Answer:

c. 10

Step-by-step explanation:

Eliminate parentheses using the distributive property.

3(b+4) -2(2b+3) = -4 . . . . given

3b +12 -4b -6 = -4 . . . . . parentheses eliminated

-b +6 = -4 . . . . . . . . . . . . collect terms

-b = -10 . . . . . . . . . . . . . . subtract 6

b = 10 . . . . . . . . . . . . . . . . multiply by -1

_____

The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.

8 0
3 years ago
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