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NeX [460]
4 years ago
13

Find x (Geometry) Full working out pls. Thank you

Mathematics
1 answer:
vichka [17]4 years ago
7 0

in 1st figure

2:1=(x+2):2

2/1=(x+2)/2

4=x+2

x=2.

Similarly in the 2nd figure

8:5=(8+3):(5+x)

8/5 = 11/ (5+x)

8(5+x) =55

40+8x=55

8x=15

x=15/8

x=1.875

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Given that the ratio of three trays is A : B : C = 2 : 3 : 4

Let us consider the common factor among the number of trays be "x".

If we need to make a total of 171 trays, then the equation of sum of trays would be :-

Type A + Type B + Type C = 171

2x + 3x + 4x = 171

9x = 171

x = \frac{171}{9} = 19

So we have following number of trays :-

Number of type A trays = 2x = 38 trays.

Number of type B trays = 3x = 57 trays.

Number of type C trays = 4x = 76 trays.

Now if each tray contains 20 cookies, then we would have following arrangements :-

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Cookies in type B trays = 57×20 = 1140 cookies.

Cookies in type C trays = 76×20 = 1520 cookies.

4 0
3 years ago
On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the t
nasty-shy [4]

Answer:

Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.

Step-by-step explanation:

Point B(-6, 1) to B'(-3, -2)

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-6+a= -3 ⇒ a= -3+6= 3

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-----------------

Step 1 Substitute the original coordinates and the translated coordinates into (x, y) right-arrow (x + a, y + b): B (negative 6, 1) right-arrow B prime (negative 6 + a, 1 + b) = B prime (negative 3, negative 2)

  • Step 2 Write two equations: Negative 6 + a = negative 2. 1 + b = negative 3.
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Step 3 Solve each equation: Negative 6 + a = negative 2. a = negative 2 + 6. a = 4. 1 + b = 3. b = negative 3 minus 1. b = negative 4.

Step 4 Write the translation rule: (x, y) right-arrow (x + 4, y minus 4)

----------------

  • Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.

3 0
3 years ago
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