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My name is Ann [436]
3 years ago
12

Determine the measure of an angle whose measure is 14 times that of its complement

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

84°

Step-by-step explanation:

Let the two complementary angles be x and y.

If the measure of an angle is 14 times the other, then x = 14y...... 1

Since the two angles are complementary, their sum will be 90° i.e x+y = 90° ...... 2

Substitute equation 1 into 2

14y+y = 90

15y = 90

y = 90/15

y = 6

Since the angle is x = 14y

x = 14(6)

x = 84°

Hence the measure of the angle is 84°

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The sum of 3 consecutive integers is 60. What is the value of the third integer?
Scorpion4ik [409]

Answer:

x=19

Step-by-step explanation:

The consecutive integers will be x, x+1 and x+2 since consecutive integers have a pattern.

So,  the equation is x+x+1+x+2=60

Solve:

x+x+1+x+2=60

3x+3=60

Subtract 3 on both sides:

3x+3-3=60-3

3x=57

Divide by 3

3x/3=57/3

x=19

3 0
3 years ago
At the movie theatre, child admission is $5.10 and adult admission is $9.70. On Thursday, 128 tickets were sold for a total sale
kvv77 [185]

Answer:

53

Step-by-step explanation:

Let x be the number of children tickets sold and y be the number of adult tickets sold. Then

x+y=128.

The cost of x children tickets is $5.10x and the cost of y adult tickets is $9.70y, so

5.10x+9.70y =896.60.

From the first equation,

x=128-y,

then

5.10(128-y)+9.70y=896.60,\\ \\652.80-5.10y+9.70y=896.60,\\ \\4.60y=243.8,\\ \\y=53.

53 adult tickets were sold.

6 0
3 years ago
Express the rate 50 yards per minute in feet per second
FrozenT [24]

         (50 yards/minute) x (3 feet/yard) x (1 minute / 60 seconds)

     =  (50 · 3 · 1 / 60) (yard-feet-minute) / (minute-yard-second)

     =       2.5 feet/second .
3 0
3 years ago
Read 2 more answers
Write an equation of the line with the given slope, m and the y- intercept (o,b)
bagirrra123 [75]

Answer:

y=4x+9

Step-by-step explanation:

replace m with 4, which is the slope you gave, and

replace b with 9, the y-intercept you gave,

in the equation y=mx+b.

3 0
3 years ago
What is the measure of &lt; A? <br>? degrees <br>triangle <br>bottom left 87°<br>bottom right 35°​
Mandarinka [93]

Answer:

58°

Step-by-step explanation:

5 0
3 years ago
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