An author is writing and illustrating a new book. The ratio of pages with text to pages with illustrations is represented in the
tape diagram.
2 answers:
Answer:
Th number of pages is 33
Step-by-step explanation:
The ratio of the number of pages of text shown in the illustration is 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;
2 page of illustration = 3 page of text
Then
22 page of illustration = x pages of text
Then by Cross multiplication
x =
x = 33
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Observe the given figure.
Here, angle T and R are the inscribed angles.
And sum of inscribed angles is half of measure of intercepted arcs.
Since, the measure of intercepted arcs is 360 degrees.
Therefore,
Hence, the sum of the two angles is 180 degrees.
Therefore, these are the supplementary angles.
Therefore, angle T and angle R are supplementary angles.
Hence, proved.