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3 years ago

3a+2b=17, b = 4a -30

Mathematics

2 answers:

Alchen [17]3 years ago

6 0

Answer:

3a+2b=17

soln

3a+2b=17

3a+2b-2b=17-2b

3a=17-2b

3a/3=17/3-2b/3

a=17-2b/3

Murljashka [212]3 years ago

6 0

Hope it helps !!!!!!!

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Studentka2010 [4]

Number 2 answer: 61.

Explanation:

You take the amount of 2-digit numbers there are (90) and subtract it from the amount of two digit numbers that are multiples of 5 and 7 (29). You should get 61.

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3 years ago

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What must be true for lines a and b to be parallel lines? Select four options.

zzz [600]

The question is missing figure and the options. So, the figure is attached alongwith the options

Answer:

Correct options: (1), (2) , (7) and (8)

Step-by-step explanation:

Given:

Lines a and b are parallel.

Consider a║b and 'd' be a transversal then,

Statements Reasons

1. ∠BXZ = ∠AZP = 58° Corresponding angles are equal

∴ m∠2 = 58°

2. ∠BYC = ∠XYZ = $(4x-10)$ ° Vertically opposite angles are equal

Now, consider a║b and 'c' be a transversal then,

Statements Reasons

1. ∠XYZ = ∠QZU = $(4x-10)$ ° Corresponding angles are equal

∴ m∠1 = $(4x-10)$ °

2.∠PZA + ∠PZQ + ∠QZU = 180° Sum of angles on a straight line is 180°.

3. $58\° +(3x-1)\°+(4x-10)\° = 180\°$ Substitution property

4. $47\° + 7x= 180\°$ Combining like terms

5. $7x=180\°-47\°$ Subtraction property of equality

∴ $7x = 133\°$

6. $x = 19\°$ Division property of equality

Plug in $x = 19\ in\ (3x-1)\°\ and\ (4x-10)\°$ , we get

$(3x-1)\° = (3(19)-1)\°$ = 56°

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4 years ago

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Step-by-step explanation:

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3 years ago

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Explanation:

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Note that if y / x is constant, x / y is also constant.

In a direct variation, when x increases, y increases, and when x decreases, y decreases.

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In an inverse variation when one of the variables increases the other decreases.

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y = 12x.

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