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nika2105 [10]
2 years ago
14

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.

Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Answer:

Option A. x=34\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

x=\frac{1}{2}(arc\ CD+arc\ AB)

substitute the values

x=\frac{1}{2}(23\°+45\°)

x=34\°

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Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points
elena55 [62]

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = \frac{1}{2}(m\angle ECD) [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = \frac{1}{2}(68)

                               = 34°

Therefore, Option (1) 34° will be the answer.

7 0
2 years ago
Read 2 more answers
Point C(3.6, -0.4) divides AB in the ratio 3:2. If the coordinates of A are (-6, 5), the coordinates of point B are ___. If poin
kari74 [83]
When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2), 
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point. 
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10

use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)

use the same method to find the coordinates of D.

the answer I've got for D is (58/9, -2) please double check my calculation.
4 0
2 years ago
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High school students from track teams in the state participated in a training program to improve running times. Before the train
Nataly [62]

Answer:

b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds

Step-by-step explanation:

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.

This means that \mu_X = 402, \sigma_X = 40

After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.

This means that \mu_Y = 368, \sigma_Y = 30

Which of the following is true about the distribution of X-Y?

They are independent, so:

\mu = \mu_X - \mu_Y = 402 - 368 = 34

\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{40^2+30^2} = 50

This means that the correct answer is given by option b.

3 0
2 years ago
A 12 oz bottle of clean green dish soap is $1.09 while a 20 oz bottle cost 1.99 which is the better to buy
Jlenok [28]

The 12 oz

Step-by-step explanation:

The twelve ounce because if you buys two of them its 2.18 and youll have four more ounces for only 19 more cents than the 20oz

4 0
2 years ago
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The angle by which AB turns clockwise about point B to coincide with BC is ? degrees. If from point B, a point E is drawn direc
Oksana_A [137]
A) AB turn clockwise to coincide with BC

= ABD + DBC

= 33.3° + 30.6° 

= 63.9°


b) If E is drawn directly opposite C.

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° 

Hope this explains it.
3 0
2 years ago
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