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lukranit [14]
3 years ago
13

Quadrilateral A B C D, the measure of, angle A, angle B, angle C, angle D are a ratio of 1:2:3:4, respectively. Find the measure

of the four angles. (Sketch)
Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer:

Step-by-step explanation:

The angles of a quadrilateral have to add up to equal 360.  That means that

1x + 2x + 3x + 4x = 360 and

10x = 360 so

x = 36.  Then

2x = 72 and

3x = 108 and

4x = 144

Angle A and angle D are opposite angles, as are angles B and C.  This is because opposite angles are supplementary.

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In circle O, AC and BD are diameters.
Ronch [10]

Answer:

mArc A B = 120° (C)

Step-by-step explanation:

Question:

In circle O, AC and BD are diameters.

Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.

What is mArc A B?

a)72°

b) 108°

c) 120°

d) 144°

Solution:

Find attached the diagram of the question.

Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x

From the diagram,

m Arc AOC = 180° (sum of angle in a semicircle)

∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)

x° +x° + x° =180°

3x = 180

x = 180/3

x = 60°

m Arc DOB = 180° (sum of angle in a semicircle)

∠AOB + ∠AOD = 180° (sum of angles on a straight line)

∠AOB + x° = 180

∠AOB + 60° = 180°

∠AOB = 180°-60°

∠AOB = 120°

mArc A B = 120°

5 0
2 years ago
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14
liraira [26]

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

5 0
3 years ago
I need help on this I have already failed two can’t fail another
Gnoma [55]

Answer:

7/10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given the functions m(x)=4x-11 and n(x)=x-10, solve m[n(x)] and select the correct answer
LekaFEV [45]
M[n(x)] = 4(x - 10) - 11 = 4x - 40 - 11 = 4x - 55
8 0
3 years ago
Simplify 6(-5). <br><br>A: -30<br><br>B: -11<br><br>C:<br><br>D:30​
sergejj [24]

A because 6 times a negative odd number stays negative and 6 times 5 is 30

7 0
2 years ago
Read 2 more answers
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