1 year ago

Name a set of vertical angles in the image below:

Mathematics

1 answer:

quester [9]1 year ago

7 0

Answer: Choice D

$\angle 1 \text{ and } \angle 3$

Reason:

Whenever we have two lines cross to form an X shape, the vertical angles are always opposite one another. They do not have to be vertically stacked (as they can be side by side like angles 2 and 4 are). Vertical angles are always congruent.

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A sum of money is divided in the ratio 2 : 3 : 7 .Given the largest share is $112,calculate the smallest share.

emmasim [6.3K]

Answer:

$32

Step-by-step explanation:

A sum of money is divided in the ratio 2:3:7.

Let the share of each individual be represented by 2x,3x,7x respectively.

The largest share (7x) is given as $112.

$7x = 112$

$=>x = \frac{112}{7}$

$=>x = 16$

So the respective shares are $2\times16,3\times16,7\times16$

In other words, the shares are 32,48,112.

So the smallest share is $32

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