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Lynna [10]
3 years ago
14

The sum of three numbers is 72

Mathematics
2 answers:
LekaFEV [45]3 years ago
6 0

Answer: <u><em>The first number is 8</em></u>

Step-by-step explanation: Let the three No. s be x, y and z respectively

given = x+ y+ z= 72

y=7x

z=7x-18

∴As we know x+ y+ z=72

i.e. x+7x+7x-18=72

15x=72+18=90

15x=90

x=90/15

∴x=8

∴y=7x

7×8=56

∴z=7x-18

56-18=38

∴<u><em>The first no. is x=8</em></u>

<u><em>The second no. is y=7x = 56</em></u>

<u><em>The third no. is z=7x-18 = 38</em></u>

Lena [83]3 years ago
4 0

Answer:

Let the first number be x, second number be 7x and the third number be      7x-18. Then,

Sum of the numbers=72

or, x+(7x) +(7x-18)=72

or, 15x=90

or, x=6

So, the first number is 6.

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Read 2 more answers
If it is a rigid motion identify the type of transformation Help please
wel
A transformation is rigid if the original shape remains the same shape and size after the transformation.

Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.

Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.

Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.

Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.

Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.

Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.

7 0
3 years ago
PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x 5, y). What are the coordinates
cestrela7 [59]

The coordinates of P' is (9, -6) and L' is (3, -1).

<h2>Given that</h2>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

<h3>We have to determine</h3>

What are the coordinates of P’ and L’?

<h3>According to the question</h3>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

The coordinates of point P after translation using mapping is,

\rm P(x, \ y) - P'(x+5, y)\\&#10;\\&#10;P(4, -6) - P'(4+5, \ -6)\\&#10;\\&#10;P(4, -6) - P'(9, -6)\\

And the coordinates of point L after translation using mapping is,

\rm L(x, \ y) - L'(x+5, y)\\\\L(-2, 1) - L'(-2+5, \ -1)\\\\L(4, -6) - L'(3, -1)\\

Hence, The coordinates of P' is (9, -6) and L' is (3, -1).

To know more about Translation click the link given below.

brainly.com/question/26298109

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2 years ago
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