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Nookie1986 [14]
2 years ago
6

Angle B is 45% of angle A. Angle C is 35% of angle A. What is the measurement of angle A?

Mathematics
1 answer:
mafiozo [28]2 years ago
3 0

We assume , A, B, and C are angles of a triangle.
The sum of angles of a triangle is equal to 180º; therefore:
A+B+C=180º

B is 45% of angle A; then B=0.45A
C is 35% of anble A; Then C=0.35A

We can suggest this equation;
A+0.45A+0.35A=180
1.8A=180
A=180/1.8
A=100

Answer: The measurement of angle A is 100º.
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The difference of the reciprocals of two successive integers equals the product of their reciprocals
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Answer:

see below

Step-by-step explanation:

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5 0
2 years ago
Find the value of x.
Bingel [31]
Straight line adds up to 180
Triangle adds to 180
180-150=30
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3 0
2 years ago
Determine if 0.747447444744447444447... is rational or irrational and give reason for your answer.
Ugo [173]

Answer:

Irrational

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
(a) How many integers in the range 1 through 120 are integer multiples of 2, 3, or 5? keyboard_arrow_down Solution (b) How many
Umnica [9.8K]

Answer:

(a) 88 integers

(b) 92 integers

Step-by-step explanation:

(a) integers whose last digits are divisible by 2 are multiples of two or numbers whose digits ends with zero. So for number 1-120 , all the even numbers which are sixty in number are are multiples of two.

For  3, numbers whose digits sum is divisible by three are multiples of three. 3,6,9,12,15,18,21,24,27,30 are multiples of three from numbers 1-30. we have four 30s in 120. which means numbers of integers will be 10*4 = 40integers. However out of these numbers , half are also integers of 2 which reduces the number added to 20integers.

For 5, numbers whose digits ends with 5 or 0 are multiples of 5. this gives us 24 integers for 1-120. but out of these 24integers, 16 are common integers of 2 and 3 which reduces the number added to 8integers.

Thus from 1-120 the intergers of 2,3 or 5 = 60+20+8 = 88integers.

(b) if we are considering from numbers 1-140;

for 2 we wil have 70 integers,

for 5 we will have 28 integers, but those integers that end with 0 are also integers of 2 which reduces the number added to 14.

For 7, numbers 7,14,21,28,35,42,49,56,63,70 are multiples of three from 1-70. This pattern is repeated from number 71-140. hence we have 20 integers in all. However 12 of the multiples are also multiples of either 2 or 5 which reduces the number to 8 integers.

Thus from 1-140, the integers of 2, 5, or 7 = 70+14+8 = 92integers

3 0
3 years ago
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Aliun [14]

Answer:

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Step-by-step explanation:

6 0
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