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Gennadij [26K]
3 years ago
15

Ricardo is constructing the circumscribed circle for △XYZ. He has already used his compass and straightedge to complete the part

of the construction shown in the figure.
Which construction could be his next step?


Construct the angle bisector of ∠X .

Construct the line through points A and Y.

Construct the perpendicular bisector of YZ¯¯¯¯¯ .

Construct the line through points B and Z.

Mathematics
2 answers:
balu736 [363]3 years ago
7 0
<span>Construct the perpendicular bisector of YZ</span>
Fantom [35]3 years ago
5 0

Answer:

The correct answer is:

<em>Construct the perpendicular bisector of YZ.</em>

Step-by-step explanation:

The steps for the construction of circumscribed circle is:

  • Construct the perpendicular bisector of one side of triangle
  • Construct the perpendicular bisector of another side
  • Where they cross is the center of the Circumscribed circle
  • Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle.

Hence, from the given figure first step is already done now we need to proceed to the second step of the construction.

Hence, the statement that best represents the next step in the construction is:

Construct the perpendicular bisector of YZ

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The volume of an oblique pyramid with a square base is V units3 and the height is h units. Which expression represents the area
givi [52]

Answer:

Area of the base of the pyramid = V/h

Step-by-step explanation:

Mathematically, we know that the volume of the pyramid can be calculated by multiplying the area of the base by the height of the pyramid

Now using the variables in the question;

V = area of base * height of pyramid

Area of base = V/height of pyramid

Area of base = V/h

3 1
3 years ago
1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

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3 years ago
Marion Lamar establish a tutoring service at a local mall they tutor college students in math and English they charge $40 per ho
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Answer: $3300 profit

Step-by-step explanation

P = 40(h) - expenses

h = 200

Expenses = 4000,325,375

P = 40(200) - (4000+325+375)

P = 8000 - 4700

P = 3300

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3 years ago
T. The entropy change As, for an ideal gas is given by the following formula: dT dV As=1C [c. R T V 7 where T is the thermodynam
MissTica

Answer:

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How many solutions does the equation sin(4x)= 3/4?
MAVERICK [17]
sin(4x)=  \dfrac{3}{4} 

4x=sin^-^1( \dfrac{3}{4}), \pi -sin^-^1( \dfrac{3}{4}) 

<span>Since sin is a periodic function, add the periodicity. 
</span>
4x=2\pi n+sin^-^1 ( \dfrac{3}{4} ) ,nEZ &#10;&#10; 

4x=2\pi n-sin^-^1 ( \dfrac{3}{4} ) ,nEZ 

x= \dfrac{2\pi n+sin^-^1 ( \dfrac{3}{4} ) }{4},  nEZ 

x= \dfrac{2\pi n+ \pi -sin^-^1 ( \dfrac{3}{4} ) }{4}, nEZ
8 0
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