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3 years ago

15

Find the measure of the marked angles.

1 answer:

klemol [59]3 years ago

7 0

Answer:

$(61x + 3) = 125 \degree$

$(25x + 5) =55 \degree$

Step-by-step explanation:

The first angle us (61x+3)

The second angle is (25x+5)

We use corresponding angles to get the top angle as a linear pair to (25x+5).

We use sum of angles on a straight line to obtain:

$(61x + 3) + (25x + 5) =180 \degree$

Group similar terms

$61x + 25x = 180 - 3 - 5$

$86x = 172$

$x = 2$

We substitute to get:

$(61x + 3) = 61 \times 2 + 3 = 125 \degree$

$(25x + 5) =25 \times 2 + 5 = 55 \degree$

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Answer:

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Step-by-step explanation:

Let

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y = cost for one child

z = cost for one senior.

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take 2 adults and 2 children and paid $2x+2y$ that is $\pounds 18$ , so

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<u>The Mghee family:</u>

take 1 senior, 2 adults and 1 child and paid $x+2x+y$ that is $\pounds 18.50$ , so

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<u>The Griffiths family:</u>

take 1 senior and 3 adults and paid $z+3x$ that is $\pounds 19.50$ , so

$z+3x=19.50$

You get the system of three equations:

$\left\{\begin{array}{l}2x+2y=18\\ \\z+2x+y=18.50\\ \\z+3x=19.50\end{array}\right.$

From the first equation:

$2y=18-2x\\ \\y=9-x$

From the third equation:

$z=19.50-3x$

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the cost for one child is $\pounds 4$

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Step-by-step explanation:

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