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masha68 [24]
3 years ago
7

Find the measure of the smaller angle in the figure

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
You know that the two angles make up a perfectly flat line, which is a 180<span>° angle. So we can create the equation:'

3x + 10 = 12x

Now solve for 'x'. Subtract 3x to both sides:

10 = 9x

Divide 9 to both sides:

x = 10/9

We want to find the smaller angle, so put this value in for 'x' in '3x + 10':

3x + 10

3(10/9) + 10

30/9 + 10

13 1/3</span><span>°</span>
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A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c
Lelechka [254]
Make two equations representing the position of each animal, p and k, for the puppy and kitten respectively.

p=25t and k=180+20t  

The puppy will catch the kitten when p=k so we can say:

25t=180+20t  subtract 20t from both sides

5t=180  divide both sides by 5

t=36

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2 years ago
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Michael has 1.85 in dimes and nickels.He has a total of 25 coins.how many of each does he have
creativ13 [48]
D+n=25 subtract d from both sides *(if your wondering what d and n are it stands for Dimes and Nickels)* n=25-d   
0.10d+0.05= 1.85
0.10d+0.05(25-d)= 1.85
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0.05d = 0.60
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My answer: He has 12 dimes (d=12) and 25-12=13 so 13 nickels.. Hope this helps! :)

5 0
3 years ago
Two numbers whose sum is 29 and their difference is 15
n200080 [17]

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

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2 years ago
If the temperature in the Arctic is -13C, but it then rises by 20C, what is the new temperature?
miv72 [106K]

Answer:7

Step-by-step explanation:

all you have to do is subtract 20-13

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