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Gnesinka [82]
3 years ago
14

Name a pair of complementary angles.

Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

complementary angles = 90 degrees

two angles would be BGC (35 degrees) and CGD ( 55 degrees)

35+55 = 90

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Help me with this question please :)
Inessa05 [86]
<h3>Answer:  5040</h3>

Explanation:

There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1

7,6,5,4,3,2,1

Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark

7! = 7*6*5*4*3*2*1 = 5040

4 0
2 years ago
6. The first quartile (rounded to the nearest tenth if needed) of the following data set is: 15. 16. 17. 23. 11. 19. 20. 15, 18,
Rainbow [258]

Answer:

Step-by-step explanation:

first of all arrange this data from ascending to descending order.

11,15,15,15,16,17,18,19,20,22,23

use formula

N+1/4 (N means no of observations)

11+1/4

12/4

3 rd term

therefore Q1=15

6 0
3 years ago
The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length
wariber [46]

Answer:

Option A. x=10\ in

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0

using a graphing tool to solve the quadratic equation

The solution is x=10\ in

see the attached figure

5 0
3 years ago
Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.
Keith_Richards [23]

Answer:

  x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

  p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

  = (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

  = (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

  = x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

  p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.

4 0
3 years ago
What is the midpoint of the segment (1, -1) (4, -6)
Sophie [7]
When looking for the midpoint of a segment defined by two end points, the average of both coordinates are taken. Averaging the 2 x-coordinates give the new x-coordinate, and the same applies for the y-coordinate. This is shown below:

Midpoint = ( (1 + 4)/2 , (-1 + -6)/2 )
Midpoint = (2.5 , -3.5)
6 0
3 years ago
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