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galben [10]
4 years ago
9

In the diagram which two angles must be supplementary with angle 6? A.5 and 7 B. 1 and 10 C.14 and 16 D.7 and 11

Mathematics
2 answers:
gregori [183]4 years ago
8 0

Answer:

Option A. 5 and 7

Step-by-step explanation:

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

In this problem

m∠5+m∠6=180°  -----> by supplementary angles (form a linear pair)

m∠6+m∠7=180°  -----> by supplementary angles (form a linear pair)

therefore

Angle 5 and angle 7 are supplementary with angle 6

anastassius [24]4 years ago
4 0

Answer:

Option A, angle 5 and angle 7

Explanation:

I just took that test on E d g e n u i t y and it was right

Have a greatastic day!! \(^u^\)

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A TV is 16 inches tall and 14 inches wide. Calculate the screen's diagonal length. Round to the nearest whole number.
telo118 [61]

Answer:

21

Step-by-step explanation:

You were close to de answer but you rounded in a wrong way

If we calculate <em>\sqrt{16^{2} + 14^{2}}  </em>we get<em> 21.2602916255</em>

We need to round to the nearest whole number, it means that we have we only have two options: 21 or 22

We need to remember the rounding rules:

  • If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up
  • If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down

We see that 1 is followed by 2, it means that we have to round the number down, so our answer is 21

8 0
3 years ago
Consider the function f(x) = 10x^2 + 6x - 2 when x=3​
Savatey [412]

Answer:

106

Step-by-step explanation:

Substitute x = 3 into f(x) and evaluate , that is

f(3)

= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106

5 0
3 years ago
Jason has 9 Orange balloons he gave Mike 8 of the balloons how many Orange balloons does he now have ​
murzikaleks [220]

Answer: he has 1 orange balloon

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The number of new cars purchased in a city can be modeled by the equation C=20t to the 2nd power, where C is the number of new c
Allisa [31]

Answer:

1998 + 5\sqrt{30}

Step-by-step explanation:

Set up the equation:

Since C(t) gives the number of cars purchased in the t-th year after 1998, then make the number of cars equal to 15 000 and solve for t - the year:

20t^2 = 15000

t^2 = 750

t = \sqrt{750} = \sqrt{10} \cdot \sqrt{25} \cdot \sqrt{3} = 5\sqrt{30}

The year will be simply 1998 + 5 \sqrt{30}

4 0
3 years ago
PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50
evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

z=\frac{X-\mu}{\sigma}

For X = $3.75, the z-score is:

z=\frac{3.75-4.50}{0.50}\\z=-1.5

For X = $5.00, the z-score is:

z=\frac{5.00-4.50}{0.50}\\z=1

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

P=84.13-6.68\\P=77.45\%

The answer is alternative B.77.4%

8 0
3 years ago
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