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juin [17]
2 years ago
13

Find the measure of angle ABD

Mathematics
1 answer:
Brut [27]2 years ago
5 0

Answer:

137

Step-by-step explanation:

The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360

now we know <ABC = 118 and

the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105

we are asked to find the  m<ABD

118 + 105 + <ABD = 360 add like terms

223 + <ABD = 360 subtract 223 from both sides

m<ABD = 137

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Step-by-step explanation:

65% = .65, so

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3 years ago
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe
kicyunya [14]

Answer: Smaller number = 6

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Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

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y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

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