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KengaRu [80]
2 years ago
9

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

tly opposite point C so that B, E, and C are on the same straight line, the angle by which AB turns counterclockwise to coincide with BE is ? degrees.
fill in the ? marks

Mathematics
2 answers:
BigorU [14]2 years ago
7 0

Answer:

Step-by-step explanation:

(A) it is given that if AB turns clockwise about point B to coincide with BC, then the angle will be=∠ABD+∠DBC=33.3°+30.6°=63.9°.

(B) If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, then the angle by which AB turns clockwise to coincide with BE is:∠ABE+∠ABD+∠DBC=180° (using the straight line property)

⇒∠ABE+33.3°+30.6°=180°

⇒∠ABE+63.9°=180°

⇒∠ABE=116.1°

Oksana_A [137]2 years ago
3 0
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.
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Answer:

Step-by-step explanation:

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In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .

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3 0
2 years ago
4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
cricket20 [7]

Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

Put m:n=3:4

Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Now plot point E.

Download pptx
3 0
2 years ago
Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materia
KATRIN_1 [288]
Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500
Cost of raw materials and manufacturing per month = $6000
Total cost that Jeremy has to spend per month = (1500 + 6000) dollars
                                                                            = 7500 dollars
Number of individual chocolates sold = 2400
Number of chocolates sold in boxes = 50 boxes
                                                           = (12 * 50) chocolates
                                                           = 600 chocolates
Then
Total number of chocolates sold by Jeremy = 2400 + 600
                                                                       = 3000
Now
Price of each chocolate = 7500/3000 dollars
                                       = 75/30 dollars
                                       = 5/2 dollars
                                       = 2.5 dollars
Price of 600 chocolates = 600 * (5/2) dollars
                                       = 300 * 5 dollars
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Price of 12 chocolates = (1500/600) * 12
                                     = 15 * 2
                                     = 30 dollars
Then
We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.
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Answer:

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