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Korvikt [17]
3 years ago
7

Use the figure to answer the questions.

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

a) Triangle ABE is similar to Triangle DCE by Angle-Angle-Angle postulate.

b) 4 cm

Step-by-step explanation:

a) angle A = angle D

And

angle B = angle C

(Alternate angles)

Angle AEB = Angle DEC

(Vertically opposite angles)

All three angles are equal, hence triangles are similar

b)

AB/DC = AE/DE

6/15 = y/10

y = 6×10/15

y = 4

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Please help me asap!!
Bess [88]

Answer:

x = 14

Step-by-step explanation:

The polygon given has 6 sides

Sum of interior angles of a 6-sided polygon = 180(n - 2)

substitute n = 6 into 180(n - 2)

Sum of the polygon = 180(6 - 2) = 720°

Thus:

10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720

Add like terms

52x - 8 = 720

52x = 720 + 8

52x = 728

x = 728/52

x = 14

3 0
3 years ago
last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the
Aleonysh [2.5K]

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

3 0
2 years ago
3(x+5)=9 what is the value off x
Klio2033 [76]

Answer:

x = -2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Given that 18f = 33g, identify the ratio off to g in simplest form.
Kobotan [32]

Answer:

11/6

Step-by-step explanation:

18f = 33g

f/g = 33/18 = 11/6

8 0
2 years ago
Read 2 more answers
Point B has coordinates ​(2​,1​). The​ x-coordinate of point A is negative 1. The distance between point A and point B is 5 unit
Gwar [14]

Answer:

A = (-1,5) or  (-1,-3)

Step-by-step explanation:

A = (-1,y)    B = (2,1)

 

(Distance from A to B) = √[(-1-2)² + (y-1)²] = 5

                                    =√[9 + y² - 2y + 1] = 5

Squaring on both sides

                                     =  y² - 2y + 10 = 25

                                       =y² - 2y -15 = 0

                                      = (y-5)(y+3) = 0

                                         y = 5 or -3

Therefore, A = (-1,5) or  (-1,-3)

6 0
3 years ago
Read 2 more answers
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