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Irina-Kira [14]
3 years ago
12

Alex is 22 years older than Lana. Four years ago Lana’s age was one-half of Alex’s current age. How old was Alex four years ago?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

33

Step-by-step explanation

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

icang [17]3 years ago
3 0

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

33 is the answer.

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\large\underline{\sf{Solution-}}

\sf  \longmapsto x + y = 7 \: \: - - - (i)

\sf  \longmapsto 3x - 2y = 11 \: \: - - - (ii)

<u>By first equation,</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x = 7 - y

<u>Now, we can find the original value of y.</u>

\sf \longmapsto 3x - 2y = 11

\sf  \longmapsto 3(7 - y) - 2y = 11

\sf  \longmapsto 21 - 3y - 2y = 11

\sf  \longmapsto 21 - 5y = 11

\sf  \longmapsto - 5y = 11 - 21

\sf  \longmapsto - 5y =  - 10

\sf  \longmapsto y = \dfrac{ - 10}{ - 5}

\sf  \longmapsto y = 2

<u>Now, we can find the original value of x.</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x + 2 = 7

\sf  \longmapsto x = 7 - 2

\sf  \longmapsto x = 5

Therefore, the values of x and y are 5 and 2 respectively.

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3 years ago
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Given that the measure of ∠x is 90°, and the measure of ∠y is 53°, find the measure of ∠z.
jeka94
To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:

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Therefore ∠z=37°.

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If a, b and c are the lengths of the sides of a triangle then

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B: 4, 13, 15

4 + 13 = 17 > 15   CORRECT :)

C: 4, 4, 15

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D: 4, 15, 15

4 + 15 = 19 > 15  CORRECT :)

E: 4, 11, 15

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F: 4, 15, 19

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Answer:

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Step-by-step explanation:

The formulas for these can be used.

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