Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

8 0

The correct comparison as shown in the figures are:

QR < QS
AB > CD
m<FJG > m<HJG
m<QSP > m<QSR

From the given diagram, we are to fill in the blank spaces with a < or > symbol.

21) The measure of the angles is a function of the measure of the sides.

Since the angle facing the side QR is less than that of QS, hence QR < QS

22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB > CD

23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG

24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR

Learn more on angles here: brainly.com/question/16281260

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A-b

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Answer:

$\boxed{\sf d. \ \frac{a}{b} = \frac{10}{7}}$

Step-by-step explanation:

$\sf \implies \dfrac{a - b}{b} = \dfrac{3}{7} \\ \\ \sf \implies \frac{a}{b} - \frac{b}{b} = \frac{3}{7} \\ \\ \sf \implies \frac{a}{b} - 1 = \frac{3}{7} \\ \\ \sf \implies \frac{a}{b} - 1 + 1 = \frac{3}{7} + 1 \\ \\ \sf \implies \frac{a}{b} = \frac{3}{7} + 1 \\ \\ \sf \implies \frac{a}{b} = \frac{3}{7} + \frac{7}{7} \\ \\ \sf \implies \frac{a}{b} = \frac{3 + 7}{7} \\ \\ \sf \implies \frac{a}{b} = \frac{10}{7}$