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SIZIF [17.4K]
3 years ago
15

Let M be the midpoint of side \overline{AB} of \triangle ABC. Angle bisector \overline{AD} of \angle CAB and the perpendicular b

isector of side \overline{AB} meet at X. If AB = 40 and MX = 9, then how far is X from line {AC}?
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer: 9

Step-by-step explanation:

According to the statement we have

AD is bisecting the angle <CAB

and Perpendicular bisector of overline AB i.e. CM is meeting at X.

Now, AB=40 and MX= 9.

We can already relate that the two triangles

AMX and AEX are congruent that means,

the ratio of sides are equal i.e. AM/EX= AM/MX

or EX= MX

Now, MX= 9 so EX=9 which is actually the distance of X from line AC

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Star QuestionMrs Jenkins is organising a charity raffle.She sells 300 tickets for £3 each.The probability that someone wins a pr
goblinko [34]
300x3=900
300 divided by 5 (0.2 as a fraction 1/5) is 60
60x8=480
900-480=420
Mrs Jenkins would give £420 to charity

hope this helps :)
4 0
3 years ago
Explain why 0.4×10=4<br><br> helpppppppppppppp meeee
Anton [14]
4/10= 0.4

So if 0.4x10=4, That means that 4. Is 4/10 of 10.
6 0
3 years ago
The length of a rectangle field if 7/5 of its width. if the perimeter of the field is 240 meters, what are the length and width
trasher [3.6K]
Perimeter of any figure is all its sides summed up

for a rectangle, with two equal pairs, that means, length + length + width + width or   2length + 2width, or  2(length + width)

but we know the length is 7/5 the width

width = w
perimeter = P


\bf P=2\left(\frac{7}{5}w +w \right)\qquad P=240\implies 240=2\left(\frac{7}{5}w +w \right)&#10;\\\\\\&#10;120=\frac{7}{5}w +w\impliedby \textit{let's multiply both sides by 5}&#10;\\\\\\&#10;600=7w+5w\implies 600=12w\implies \cfrac{600}{12}=w

and the length is 7/5 of that
7 0
3 years ago
Can somebody please help me with this
pickupchik [31]

Answer:

13.35

Step-by-step explanation:

you multiply 89 times 15

then divide that with 100

6 0
3 years ago
27^4–9^5 3^9 is divisible by 25
hichkok12 [17]

Answer:

  no

Step-by-step explanation:

If you mean

  27^4 - 9^5·3^9 = -1161730026

it has no factors of 5, so cannot be divisible by 25.

__

If you mean ...

  (27^4 -9^5)/3^9 = ((3^3)^4 -(3^2)^5)/3^9 = 3^10(3^2 -1)/3^9 = 3(9-1) = 24

it is not divisible by 25, either.

6 0
3 years ago
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