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Tems11 [23]
3 years ago
6

In circle A below, ∠BAE ≅ ∠DAC.

Mathematics
2 answers:
vlabodo [156]3 years ago
8 0

so... the answer is???

musickatia [10]3 years ago
5 0
We have that the 2 arcs need to be equal, because their angles are the same. Hence, we get by setting the two expressions equal:
12x-10=5x+53 or 12x-5x=53+10 or 7x=63 or x=9. Hence, arce BE is equal to 12x-10=12*9-10=98 degrees.
This is also equal to the arc DC. Since we have calculated arc DC, we only need to calculate arc BD (and sum those two). The total arcs of a circle are 360 degrees.
Hence, EB+BC+DC+CE=360. But we have that BC+CE. So, we get:
98+BC+98+BC=360. Hence, we get that BC=CE(360-2*98)/2=82 degrees. Hence, BCD=98+82=180 degrees.
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Which statement correctly compares the spreads of the distributions?
Pavlova-9 [17]

Answer:

Step-by-step explanation:

Mode definition is the number which appears most often in a set of numbers.  Since the mode is the same amount of bubbles it is not A.

The range of a set of data is the difference between the highest and lowest values in the set.

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

The data has already been ordered for you so you take the highest number and subtract the smallest number.  

Cityview Zoo  44-37=7

Countryside Zoo  45-38=7

6 0
3 years ago
Read 2 more answers
The rectangular prism is sliced by a two-dimensional plane that includes point N, P, Q and R. Which figure represents the result
Arturiano [62]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Assume that 140 surveys are completed. Of those surveyed, 71 responded positively to effectiveness, 60 responded positively to s
liraira [26]

Answer:

15

Step-by-step explanation:

Let n(T) denotes total surveys done i.e. n(T)=140

Let n(A) be the no. of responses to positively to effectiveness i.e. n(A)=71

Let n(B) be the no. of side effects i.e.n(B) =60

Let n(C) be the no. of responses to cost i.e. n(C)= 65

33 responded positively to both effectiveness and side effects

So, n(A∩B)=33

31 to effectiveness and cost

n(A∩C)=31

28 to side effects and cost

n(B∩C)=28

21 to none of the items

So, n(A∪B∪C)=140-21 = 119

we are supposed to find ow many responded positively to all three i.e. n(A∩B∩C)

Formula:

n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(A∩C)-n(B∩C)+ n(A∪B∪C)

119=71+60+65-33-31-28+ n(A∪B∪C)

119=104+ n(A∪B∪C)

119-104= n(A∪B∪C)

15= n(A∪B∪C)

Hence 15 responded positively to all three

7 0
3 years ago
For their craft project during the first week of camp, the campers used clothespins to make miniature rocking chairs. To make 90
fenix001 [56]

1080 clothespins makes 90 chairs and we need to find out how many clothespins it takes to make 1 chair.

We can set up a proportion of the number of chairs to the number of clothespins because of the proportional relationship.

x is the number of clothes pins for 1 chair

\frac{90 chairs}{1080 clothespins} =\frac{1 chair}{x clothespins}

Cross multiply to get

90*x= 1080*1

Divide both sides by 90 to isolate x

x = 12 clothespins

It takes 12 clothespins to make 1 chair.


5 0
3 years ago
Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)
cupoosta [38]
g(x)=x-3 \ \ \ and\ \ \  h(x)=x^2+6 \\\\(h \circ  g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10
5 0
3 years ago
Read 2 more answers
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