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IrinaVladis [17]
2 years ago
14

X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
3 0

Answer:

On the diagram, construct lines BY, XY and DY.

Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.

BX=DX

AB+radius = CD +radius

AB=CD

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Anyone know what 68010+01410 is ​
alex41 [277]
Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420
7 0
2 years ago
Find the measure of angle Y for the kite showing below.
Dovator [93]
It should be 117.5 because in a kite, the angles all add up to 360, and since the remaining unknown angles are the same, you just subtract 38+87 from 360 and divide by 2
4 0
3 years ago
4^338^37 / 4^158^21 A. 4^18 8^16 B. 8^48 16^58 C. 16^18 64^16 4^18 8^58
Rainbow [258]
If the problem is supposed to read (4^33*8^37)/(4^15*8^21), then...

(4^33*8^37)/(4^15*8^21) = (4^33/4^15)*(8^37/8^21)
(4^33*8^37)/(4^15*8^21) = 4^(33-15)*8^(37-21)
(4^33*8^37)/(4^15*8^21) = 4^18*8^16

Answer: Choice A) 4^18*8^16

6 0
3 years ago
They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to
Eddi Din [679]

Step-by-step explanation:

Step one:

given

current (older) fridge

electricity charges= $17 monthly

maintenance costs= $220

let the number of months be x

and the total cost be yo

the expression for the cost for the old fridge is

yo=220+17x---------1

New  fridge

electricity charges= $6 monthly

costs=  $1,050

let the number of months be x

and the total cost be yn

the expression for the cost for the old fridge is

yn= 1050+6x---------2

Hence the system of equation for the situation is

yo=220+17x---------1

yn= 1050+6x---------2

Step two

for 10 years there are 12*10= 120 months

put x= 120 in both expressions and compare the total

yo=220+17(120)---------1

yo=220+2040

yo=$2,260

yn= 1050+6(120)---------2

yn=1050+720

yn=$1770

<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>

3 0
3 years ago
Billy is walking from the front door of his house to his bus stop, which is 960 feet away from his front door. As Billy walks ou
sasho [114]

Answer:

b) 690 - 7.5*t

c) 0 < t < 92s time (t) is independent quantity

d) 0 < s < 690ft distance from bus stop (s) is dependent quantity

e) f(0) = 690 ft away from bus stop , f(60.25) = 238.125 ft away from bus stop

Step-by-step explanation:

Part a - see diagram

part b

initial distance from bus stop s0 = 690 ft

distance covered = 7.5*t

s = s0 - distance covered

s = 690 - 7.5*t = f(t)

part c

s = 0 or s = 690

0 = 690 -7.5*t

t = 92 s

Hence domain : 0 < t < 92s time (t) is independent quantity

part d

s = 0 or s = 690

Hence range : 0 < s < 690ft distance from bus stop (s) is dependent quantity because it depends on time (t)

part e

f(0) is s @t = 0

f(0) = 690 ft away from bus stop

f(60.25) is s @t = 60.25

f(60.25) = 690 - 7.5*60.25 = 238.125 ft away from bus stop.

4 0
3 years ago
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