In a class of 72 pupils, the ratio of passes to failures in the final exam was 8:1. How many pupils passed the exam?

1 answer:

6 0

72 total pupils
8x passed the test, x did not
8x + x = 72
9x = 72
x = 8

So since 8x passed the test, substitute 8 for x
8(8) = 64

64 pupils passed the exam

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Identity the congruence statement for the triangles below.

GalinKa [24]

Answer:

Triangle HMK≅Triangle ILJ

Explanation:

Two triangles are congruent if they have the same sides and the same size. This means they have the same shape and size, regardless of their position or orientation.

If we want to verify if two triangles are congruent, they must fulfill some conditions:

a) Two triangles are congruent if their three sides are respectively equal

b) Two triangles are congruent if two of their sides and the angle between them are respectively of equal length.

c) Two triangles are congruent if they have a congruent side and the angles with vertex at the ends of that side are also congruent.

d) Two triangles are congruent if they have two sides respectively congruent and the angles opposite the greater of the sides are also congruent

According to these criteria, Triangle HMK≅Triangle ILJ

5 0

4 years ago

A bag has 30 tiles, numbered 1-30. Write the ratio even tiles to odd tiles in simplest form.

guapka [62]

Answer:

r=1

Step-by-step explanation:

Ratio of Values

A ratio compares two values by diving them. If the ratio is greater than one, then the value in the numerator is greater than the value in the denominator. The opposite relation gives ratios lower than 1. A ratio of 1 means both values are the same

We have a set of tiles numbered 1 to 30:

1,2,3,4,5,6...,29,30

Note that each odd-numbered tile is followed by an even-numbered tile. It means we have 15 odd tiles and 15 even tiles. The ratio is

$\displaystyle r=\frac{even}{odd}$