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Vaselesa [24]
2 years ago
9

A. 1) Given

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

<u>Reasons</u>

  1. Given
  2. A midpoint splits a segment into two congruent parts
  3. A triangle with a right angle is a right triangle
  4. HL

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Solve |x + 6| - 7 = 8<br><br> please help
katovenus [111]

Answer:

222222222222222222222

7 0
2 years ago
Solve the system with elimination.3x + y = 9x + 2y = 3
NikAS [45]

In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:

\begin{cases}-6x-2y=-18 \\ x+2y={3}\end{cases}

Now, adding the equations, we have:

\begin{gathered} -6x-2y+x+2y=-18+3\\ \\ -5x=-15\\ \\ x=\frac{-15}{-5}\\ \\ x=3 \end{gathered}

Now, calculating the value of y, we have:

\begin{gathered} x+2y=3\\ \\ 3+2y=3\\ \\ 2y=0\\ \\ y=0 \end{gathered}

Therefore the solution is (3, 0).

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1 year ago
A machine makes 150 boxes in 15 minutes what is the rate
Illusion [34]
I think its 10 boxes per minute but i could be wrong..
4 0
3 years ago
Read 2 more answers
Malachy was thinking of a number. Malachy adds 9 then divides by 3 to get an answer of 48. Form an equation with
stepladder [879]

Step-by-step explanation:

Let,

  • Number = x

(x+9) \div  3=48

x+9=48\times 3

x+9=144

x=144-9

x=135

Therefore,

The number = 135

6 0
2 years ago
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia
elena-14-01-66 [18.8K]

Answer:

a. z-score = -1.2

b. The age 23 years old is -1.2 standard deviations below the mean

c. The age is not unusual

Step-by-step explanation:

a. Transformation to z-score

Mathematically;

z-score = (x - μ)/σ

where σ and μ are the standard deviation and the mean respectively.

From the question, x = 23, μ = 27.2 and σ = 3.5

Let’s put these into the equation;

z-score = (23-27.2)/3.5 = -1.2

b. Interpretation of result

The interpretation is that 23 years old is -1.2 standard deviations below the mean

c. Determination

The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual

-1.2 is above -2 and thus it is not unusual

7 0
2 years ago
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