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-BARSIC- [3]
2 years ago
11

If APTS ~ APQR, find the value of x

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
5 0

Answer:

x is the answer

Step-by-step explanation:

pts is also known as ptms which is a middle school, where tehy o things to find the value x

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Find the length of each hypotenuse such that KMN = LMN
Mrac [35]
If triangle KMN is congruent with triangle LMN, then:
1) KM must be congruent with LM→KM=LM→
x+2y=3x-y→x+2y-x-2y=3x-y-x-2y→0=2x-3y→2x-3y=0   (1)

2) KN must be congruent with LN→KN=LN→
5x+3y=8x-7→5x+3y-5x-3y+7=8x-7-5x-3y+7→7=3x-3y→3x-3y=7  (1)

We have a system of two equations and two unkowns:
(1) 2x-3y=0
(2) 3x-3y=7

Subtracting equation (1) from equation (2)
(3x-3y)-(2x-3y)=7-0
3x-3y-2x+3y=7
x=7

Replacing x=7 in equation (1)
(1) 2x-3y=0→2(7)-3y=0→14-3y=0→
14-3y+3y=0+3y→14=3y→14/3=3y/3→14/3=y→y=14/3

The length of the hypotenuse is:
KN=5x+3y=5(7)+3(14/3)=35+14→KN=49
or
LN=8x-7=8(7)-7=56-7→LN=49

Answer: Option C. 49


7 0
3 years ago
HELP ASAP!!! 99 ASSIGNMENTS TO GO!!!! 25 POINTS!!!!
marin [14]
1: Ratio
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5 0
1 year ago
Read 2 more answers
Suppose that an object is dropped from a height of
Kamila [148]
Make hours to seconds to match meters
19.6*3600=70560 seconds
And is dropped from a height of 15.4 meters then the velocity will be
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8 0
3 years ago
Which equation is in point-slope form and depicts the equation of this line?
Elodia [21]
We know
in the graph two points
point 1 (2,1)  and point 2 (-1,-4)
the equation in point-slope form is ----------------> (y-y1)=m(x-x1)

step 1
find the value of m
m=(y2-y1)/(x2-x1)----------> (-4-1)/(-1-2)--------> m=5/3

step 2
with the point (-1,-4)  and m=5/3
find the equation in point-slope form
(y-(-4))=(5/3)*(x-(-1))-------------> (y+4)=(5/3)(x+1)

the answer is the option d) ( y+ 4 ) =+ 5/3 ( x + 1 )

7 0
3 years ago
A certain delivery service offers both express and standard delivery. 75% of parcels are send by standard delivery and 25% are s
Nikitich [7]

Answer:

pictures are in order

Step-by-step explanation:

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