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Fed [463]
2 years ago
9

Help me please 8. Match each angle pair with the corresponding drawing. Choose the best answer!

Mathematics
1 answer:
sdas [7]2 years ago
5 0

Answer:

1. D

2. B

3.  A

4. C

Step-by-step explanation:

1. Vertical angles are a pair of opposite angles formed by the intersection of lines. Choice D has two lines intersecting, and two opposite angles formed by it.

2. Adjacent angles are two angles that have a common vertex and common side but do not overlap. Choice B is two angles with a common vertex and common side, and they don't overlap.

3. Supplementary angles are angles that add up to 180 degrees/make a straight angle. Choice A has two angles that add up to 180 degrees, and the two angles combined make a straight angle/line.

4. Two angles are called complementary angles if they add up to 90 degrees and form a right angle. Choice C has two angles that form a right triangle, meaning it adds up to 90 degrees.

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One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
LenKa [72]

Hello Archanavrane75p56yu7

The answer to this problem would be 9 days for the second warehouse if 1.5 times than the first one.

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P.S (Dont cry)

7 0
3 years ago
A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

<em>B</em> = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

4 0
3 years ago
Read 2 more answers
What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)
Romashka-Z-Leto [24]
1. 22 - 3x + 7x = 4(x + 5)
   22 - 3x + 7x  = 4x + 20
  <u>      +3x  +3x   +3x          </u>
         22 + 10x = 7x + 20
        <u>          -7x   -7x        </u>
           22 + 3x = 20
          <u>-22         -22</u>
                   <u>3x</u> = -<u>2</u>
                    3      3
                     x = -2/3

2. 6(2x - 3) = 3(3 - 5)
    12x - 18 = 3(-2)
    12x - 18 = -6
    <u>       +18   +18</u>
           <u>12x</u> = <u>12</u>
            12     12
               x = 1

3. 6x - 14 = 2(3x - 7)
    6x - 14 =  -3x
    6x - 14 = 2(-7)
    6x - 14 = -14
    <u>     +14   +14</u>
           <u>6x</u> = <u>0</u>
            6     6
             x = 0

4. 6x + 3(x - 4) = 8(x - 3)
    6x + 3x - 12 = 8x - 24
            9x - 12 = 8x - 24
           <u>-8x          -8x        </u>
              x - 12 = -24
              <u>   +12    +12</u>
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8 0
3 years ago
If x=9, what is the value of your in the equation below? y=8x-(1+4x)
Phantasy [73]
Y=72-(1+36)
Y=72-37
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5 0
3 years ago
Read 2 more answers
Write an expression for the eighth partial sum of the series using summation notation
balandron [24]

Answer:

option B

Step-by-step explanation:

9/10 + 6/5 + 3/2...........

We find the difference between the terms

\frac{6}{5} - \frac{9}{10}

\frac{12}{10} - \frac{9}{10} = \frac{3}{10}

We will get the same difference when we subtract consecutive terms.

so , d= 3/10, a= 9/10

we find the formula for nth term

a_n = a+(n-1) d

a_n = \frac{9}{10} + (n-1)\frac{3}{10}

a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}

a_n = \frac{6}{10} +\frac{3}{10}n

a_n = \frac{3}{5} +\frac{3}{10}n

we need to find eighth partial sum so we  take n=1 to 8

sum of 8 terms (\frac{3}{5} +\frac{3}{10}n)

So option B is correct


4 0
3 years ago
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