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GarryVolchara [31]
2 years ago
5

The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the

Mathematics
1 answer:
Goryan [66]2 years ago
4 0

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

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4.) You have saved $2000 for college and are saving at the rate of $250 per month. Assume
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Answer: 5,000

Step-by-step explanation: 2,000 saved 250 per month so 250 times

7 0
3 years ago
Kate had 50 50 tickets to use for rides at the fair. She lost some of them. Her dad doubled the tickets she had left. Kate wrote
damaskus [11]

Answer: Kate expression: 2(50-t)

2 : represents twice,

50 : represents Initial number of tickets Kate has,

t : The lost tickets

50-t : represents Number of ticket Kate has After loosing t tickets

Jack expression: 100 - 2t

100 : Twice of initial ticket Kate has,

t :  The lost tickets

2t : represents twice of the lost tickets,

100-2t : represents Final number of ticket Kate has.

Step-by-step explanation:

Since, According to the question,

Initially Kate has 50 tickets.

She lost tickets = t

And, after losing t ticket she has tickets = 50 - t

But, His father doubled the amount, Thus she has final tickets = 2(50-t)= 2×50 -2× t = 100 - 2t  



5 0
3 years ago
Read 2 more answers
How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

6 0
3 years ago
Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A
GuDViN [60]

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

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y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

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On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

5 0
3 years ago
I need help on this question
Alex777 [14]
The awser for this problem im preety sure is going to be aswer c
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