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aliina [53]
3 years ago
15

I managed to prove JMK and KNJ to be congruent. How do I find that JLK is isoceles though. Please help.

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

Step-by-step explanation:

A triangle is isosceles if it has two equal sides and two equal angles.

From the diagram, the two perpendicular bisectors divides each base angle into 2 equal parts.

Since the 2 lines of the the perpendicular bisectors cuts across the midpoint of the triangle, it divides both lines JL and LK equally.

This means that lines JL and LK are equal.

Triangle JLK has 3 sides, JL, LK and JK.

Since lines JL and LK are equal, then

Triangle JLK is isosceles since it has two equal sides and 2 equal angles

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The sequence a, = 2, 4, 8, 16, 32, ... is the same as the sequence ay = 2,
blondinia [14]

Answer:

TRUE

Step-by-step explanation:

TRUE

a_1 = 2

a_n = 2*(an_1)

if we start with 2, we would get

a_2 = 2*(a_1) = 2*(2) = 4

a_3 = 2*(a_2) = 2*(4) = 8

a_4 = 2*(a_3) = 2*(8) = 16

a_5 = 2*(a_4) = 2*(16) = 32

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.

.

and so on

4 0
3 years ago
Tim's mother is 32 years old. she is 4 times as old as tim. what equation could be used to find tim's age
bija089 [108]
32= 4x

That would be the equation and x would then be 8
hope this helps
6 0
3 years ago
Four adults and five children go to see a movie and buy $15 worth of concessions. The total cost of their trip is $71. If each c
noname [10]

Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

                            25 + 15 = 40

Subtract $40 from the 71 spent to get $31

                            71 - 40 =  31      

Now, divide the 31 by 4 for the number of adults which equals $7.75

                             31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

4 0
3 years ago
A car travels the first 50km of its journey at an average speed of 25m/s snd the next 120km at an average speed of 80km/h. The c
Alex17521 [72]

Answer:

84,6km/h

Step-by-step explanation:

the whole journey was

in the first part the car travels 50km, in the second part 120km and in the third part we can find it with a simple rule of three

90km--->60 min

X<--------35min= 52.5 km the car made in the last part

50km+120km+52,5km=222.5km was all the journey

and he made it in:

  • the last part in 35min,
  • in the second part we know that the car was going at 80km/h and that he made 120km so:

80km--->60 min

120km--->90 min

  • in the first part we know that the car was going at 25m/s and he made 50km. 25m/s*1km/1000m*3600s/1h= we obtain the speed in km/h=90km/h

90km---->60min

50km---->x=33,333 min

The whole journey last 33,333min+90min+35min=158.333min

if we express that in hour = 158.333min*1hr/60min=2.63

the car made 222.5km in 2.63 hour

so the average speed was

222.5---->2.63hr

X--------1hr=84,6

the average speed was 84,6km/h

5 0
4 years ago
-7 - x = 3<br><img src="https://tex.z-dn.net/?f=%20-%207%20-%20x%20%3D%208" id="TexFormula1" title=" - 7 - x = 8" alt=" - 7 - x
yaroslaw [1]
-7-x= 3 \\  \\ -x= 3+7\quad \to -x= 10\to  \boxed{x=10}  \\  \\  \\ -7-x= 8 \\  \\ -x= 8+7\quad -x= 15\to  \boxed{x= -15}
4 0
3 years ago
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