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jok3333 [9.3K]
2 years ago
14

Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of

the center of the circle
Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

Answer:

(5, -1)

Step-by-step explanation:

You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)

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Insert two sets of grouping symbols to make the equation true. 102 + 4 • 6 + 3 − 27 ÷ 9 − 6 = 127
allsm [11]
Idk i literally get one away for everything i do
5 0
3 years ago
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
Naya [18.7K]

Step-by-step explanation:

<h3> new numbers are x+4 and x-1</h3>

so, x+4/x-1=11/16

16x+64=11x-11

16x-11x=-11-64

5x=-75

x = -15

also, x+1 = -14

8 0
3 years ago
Read 2 more answers
[4]
Tanya [424]

Answer:

Angle ACD = 38°

Step-by-step explanation:

The full, correct question is presented the attached image to this solution.

Given

Point O is the centre if the circle

Points A, B, C and D are points on the circle

Angle AOB = 140°

Angle OAC = 14°

Angle AOB = 2 × (Angle ACB) [angle subtended at the centre of the circle is twice the angle subtended at the circumference of the circle)

140° = 2 × (Angle ACB)

Angle ACB = (140°/2) = 70°

(Angle AOB) + (Angle OAB) + (Angle ABO) = 180° [sun of angles in a triangle is 180°]

But Angle OAB = Angle ABO = a [base angles of an iscosceles triangle are equal since OA and OB are both radii for the circle O)

(Angle AOB) + (Angle OAB) + (Angle ABO) = 180°

140° + a + a = 180°

2a = 40°

a = (40/2) = 20°

Angle OAB = Angle ABO = 20°

Angle CAB = (Angle OAC) + (Angle OAB) = 14° + 20° = 34°

Triangle ADC is an iscosceles triangle, hence,

Angle DAC = Angle ACD = x [base angles of an iscosceles triangle are equal]

But

(Angle DCB) + (Angle DAB) = 180° [Opposite angles of a cyclic quadilateral (a quadilateral inscribed in a circle) sum up to give 180°]

Angle DCB = (Angle DCA) + (Angle ACB) = (x + 70°)

Angle DAB = (Angle DAC) + (Angle CAB) = (x + 34°)

(Angle DCB) + (Angle DAB) = 180°

(x + 70°) + (x + 34°) = 180°

2x + 104° = 180°

2x = 180° - 104° = 76°

x = (76°/2) = 38°

Angle DAC = Angle ACD = 38°

Angle ACD = 38°

Hope this Helps!!!

7 0
2 years ago
Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her a
ladessa [460]

Answer:

$25

Step-by-step explanation:

From the above question, we are told that:

Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her account.

The amount she has in her bank account is calculated as:

Her current account balance + The amount she got for her birthday

Hence:

- $60 + $85

= $25

The amount she has in her bank is $25

5 0
2 years ago
Which equation represents the relationship “4 less than a number is 10?”
Naily [24]
X+3=7
Which 7-3 would be 4
6 0
2 years ago
Read 2 more answers
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