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3 years ago

Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?

Mathematics

1 answer:

kherson [118]3 years ago

5 0

Answer:

$D = 161^o$

Step-by-step explanation:

Given

$\angle B = 19^o$

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

$B + D = 180^o$ ---- opposite $sides$ of a $cyclic \\$ quadrilateral

Make D the subject

$D = 180^o -B$

$D = 180^o -19^o$

$D = 161^o$

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X+ y = 44
x - y = 6
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2x = 50

x = 25
y = 44-x = 19

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3 years ago

Pls help, solve for a.

vovangra [49]

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3 years ago

If k + 1, 2k - 1 and 3k + 1 are three consecutive terms of a GP, find the value of the common ratio

eduard

Answer:

r = -1 or r = 5/3

Step-by-step explanation:

(2k - 1)/(k + 1) = (3k + 1)/(2k - 1)

(2k - 1)^2 = (k + 1)(3k + 1)

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k(k - 8) = 0

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(2k - 1)/(k + 1) = 15/9 = 5/3

6 0

3 years ago

Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P

vredina [299]

Answer:

a. $M(x,y) = (-1,-1)$

b. $D(-4,-9)$

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$(x_1,y_1) = (-8,7)$

$(x_2,y_2) = (6,-9)$

Substitute these values in the formula

$M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})$

$M(x,y) = (\frac{-2}{2},\frac{-2}{2})$

$M(x,y) = (-1,-1)$

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$(x_1,y_1) = (2,7)$

$(x,y) = (-1,-1)$

Substitute these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

Solving for x2

$-1 = \frac{2 + x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$x_2 = -2 - 2$

$x_2 = -4$

Solving for y2

$-1 = \frac{7 + y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$y_2 = -2 - 7$

$y_2 = -9$

Hence, the coordinates of D is

$D(-4,-9)$

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4 years ago

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agasfer [191]

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