A man is now 3 times as old as his son. In 10 years time, the sum of their ages will be 76.

Mathematics

1 answer:

mr Goodwill [35]2 years ago

4 0

Answer:

Step-by-step explanation:

A man is now 3 times as old as his son.

m = 3s

In 10 years time, the sum of their ages will be 76

(m + 10) + (s + 10) = 76

Subsitute for m = 3s

(3s + 10) + (s + 10) = 76

4s + 20 = 76

4s = 56

s = 14

m = 3s = 14 * 3

m = 42

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How old was the man when his son was born?

m - s = 42 - 14

m - s = 28

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Line JM intersects line GK at point N Which statements are true about the figure? Check all that apply.

Likurg_2 [28]

we know that

Complementary angles are two angles whose sum is equal to $90$ °, while supplementary angles are two angles whose sum is equal to $180$ °.

Statements

case 1) GNJ is complementary to JNK

Is False

Angle GNJ is $90$ degrees and angle JNK is $90$ degrees. The sum of the angles GNJ and JNK is $180$ degrees. Therefore, GNJ is not complemetary to JNK.

$angle\ GNJ+angle\ JNK=180\ degrees$

GNJ is supplementary to JNK, not complementary

case 2) MNL is complementary to KNL

Is True

The sum of angles MNL and KNL is MNK which is $90$ degrees. Therefore, MNL is complementary to GNJ.

$angle\ MNL+angle\ KNL=90\ degrees$

MNL is complementary to KNL

case 3) MNG is complementary to GNJ

Is False

Angle MNG is $90$ degrees and angle GNJ is $90$ degrees. The sum of the angles MNG and GNJ is $180$ degrees. Therefore, MNG is not complemetary to GNJ.

$angle\ MNG+angle\ GNJ=180\ degrees$

MNG is supplementary to GNJ, not complementary

case 4) KNJ is supplementary to MNL

Is False

Angle KNJ is $90$ degrees and angle MNL is less than $90$ degrees. The sum of the angles KNJ and MNL is less than $180$ degrees. Therefore, KNJ is not supplementary to MNL

$angle\ KNJ+angle\ MNL < 180\ degrees$