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ludmilkaskok [199]
2 years ago
7

Find the angles marked with the letters.​

Mathematics
1 answer:
OLga [1]2 years ago
5 0

Answer:

bigger b is 55°, the other b is 35°, c is 29°

Step-by-step explanation:

angles opposite each other on a point are the same so the bigger b is 55

55+90=145

180-145=35 so b is 35

alternate angles are the same so 35+116=151

180-151=29 so c=29

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2 years ago
If you travel at a rate of 45 mph how many minutes will you will it take you to travel 1 mile
stiks02 [169]
It'd take you<span>, 1 minute and 33 secounds.
45 miles = 60 minutes
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7 0
3 years ago
The side lenghts of a triangle are 14,15, and x units
iragen [17]

9514 1404 393

Answer:

  1 < x < 29

Step-by-step explanation:

The triangle inequality requires the sum of the two shortest sides exceed the longest side.

<u>When x and 14 are the shortest</u>:

  x + 14 > 15

  x > 1

<u>When 14 and 15 are the shortest</u>:

  14 +15 > x

  29 > x

Then the requirement for the length of x is ...

  1 < x < 29

_____

<em>Additional comment</em>

The length of the third side of a triangle can be between the difference and sum of the two given sides.

3 0
2 years ago
Suppose you and a partner want to make a recipe for 25 friends. Adjust the amount of each ingredient below to 25 servings.
mel-nik [20]
Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that

25 / 100 = \frac{25}{100} = \frac{1}{4}

Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.

In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.

1.) 100 * \frac{1}{4} = \frac{100}{1} *  \frac{1}{4} = \frac{100 * 1}{1 * 4} = \frac{100}{4} = 25

2.) 72 * \frac{1}{4} =  \frac{72}{1} *  \frac{1}{4} =\frac{72 * 1}{1*4} = \frac{72}{4} = 18

3.) 14 * \frac{1}{4} = \frac{14}{1} * \frac{1}{4} = \frac{14 *1}{1*4} = \frac{14}{4} = 3 \frac{1}{2}

4.) 6 * \frac{1}{4} = \frac{6}{1} * \frac{1}{4} = \frac{6*1}{1*4} = \frac{6}{4} = <span>1 \frac{1}{2} </span>

5.) 24 * \frac{1}{4} = \frac{24}{1} * \frac{1}{4} = \frac{24*1}{1*4} = \frac{24}{4} = 6

6.) 80 * \frac{1}{4} = <span>\frac{80}{1} * \frac{1}{4} = \frac{80*1}{1*4} = \frac{80}{4} = <span>20</span>

</span>7.) 50 * \frac{1}{4} = \frac{50}{1} * \frac{1}{4} = \frac{50*1}{1*4} = \frac{50}{4} = 12 \frac{1}{2}

And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
5 0
3 years ago
Read 2 more answers
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