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3 years ago

In the figure given, what is the value of x?

Mathematics

1 answer:

torisob [31]3 years ago

4 0

Answer:

x = 30

Step-by-step explanation:

In the figure attached,

Two lines are parallel and one line having two adjacent angles (4x)° and (x + 30)° are the transverse.

Sum of interior consecutive angles = 180°

So the sum of these angles = 180°

(4x)° + (x + 30)° = 180°

(4x + x) + 30 = 180

5x + 30 = 180

5x = 180 - 30

5x = 150

x = 30

Therefore, value of x = 30

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Angle M 3= (6x-1) and angle m 2 = (8x+7). Find the value of x and use it to find angle m 2.

katen-ka-za [31]

Set the equation equal to each other: 6x-1 = 8x+7 then solve

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4 years ago

Find the value of x so that f(x) = 13 f(x) = 3x+4 A. 2 B. 3 C. 6 D. 4

koban [17]

Step-by-step explanation:

→ 3x + 4 = 13

→ 3x = 13 - 4 = 9

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6 0

3 years ago

Read 2 more answers

Please which one is it?

nata0808 [166]

Answer:

The answer is D

Step-by-step explanation:

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3 years ago

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marusya05 [52]

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3 0

3 years ago

£980 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as

Nitella [24]

Sarah has received £ 294

Solution:

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

Caroline gets twice as much as Sarah

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

Sarah gets three times as much as Gavyn

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"

From eqn 2,

$g = \frac{s}{3}$ --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

$2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294$

Thus sarah has received £ 294

7 0

3 years ago