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den301095 [7]
3 years ago
8

If the angles of a triangle are 2x+1, x, and x+15 what are the measures

Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

The three angles of the triangle are 41°, 56° and 83°.

Step-by-step explanation:

The three angles of a triangle are given by 2x + 1, x and x + 15.

Now, we know the property of triangle, that 180° is the sum of all the angles of a triangle.

Hence, (2x + 1) + x + (x + 15) = 180°

⇒ 4x + 16 = 180

⇒ 4x = 164

⇒ x = 41°

So, 2x + 1 = 83° and x + 15 = 56°

Therefore, the three angles of the triangle are 41°, 56° and 83°.

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The squirrel could store 48 nuts in a hiding place. If there were 768 nuts to hide, how
Dmitrij [34]

Answer:

16 hiding places

Step-by-step explanation:

768/48

=16

nuts hided/storing the nuts

7 0
3 years ago
Read 2 more answers
How many liters each of a 24% iodine solution in a 40% iodine solution must be used to produce a total make sure of 100 L of 28%
alina1380 [7]

By <em>weighted</em> average, we need 75 liters of 24 % iodine solution and 25 liters of 40 % iodine solution to obtain 100 liters of 28 % iodine solution.

<h3>How to determine the volume associated with a given concentration</h3>

Physically speaking, concentration is equal to the amount of solute divided by the volume of solution. We have two solutions with same solute and different concentration and can find the right proportion between the 24 % solution and the 40 % solution by concept of <em>weighted</em> average:

x · 24 + (1 - x) · 40 = 28

40 - 16 · x = 28

16 · x = 40 - 28

16 · x = 12

x = 3/4

By <em>weighted</em> average, we need 75 liters of 24 % iodine solution and 25 liters of 40 % iodine solution to obtain 100 liters of 28 % iodine solution.

To learn more on weighted average: brainly.com/question/18554478

#SPJ1

3 0
2 years ago
A ship sails 95 km on a bearing of 140 degrees,than further on 102km on a bearing of 260degrees,and than returns directly to its
sammy [17]

Answer:

1. 98.7 km

2. 303.5 degree

Step-by-step explanation:

Using the alternate angle, the angle at B will be 50 + 10 = 60 degree.

To calculate the length AC of the returning journey, use cosine formula to calculate it.

To find the bearing of the returning journey, use sine rule to calculate it.

Please find the attached file for the solution

7 0
3 years ago
If sample variance is computed by dividing SS by n, then the average value of the sample variances from all the possible random
ratelena [41]

Answer:

Less than

Step-by-step explanation:

Sample variance is computed by dividing the Sum of Squares (SS) by the number of samples (n).

Population variance is computed by dividing the Sum of Squares (SS) by the difference between the number of samples and 1 (n-1).

After computing, it would be found that the sample variance is less than the population variance.

8 0
4 years ago
A 2-mi cab ride costs $4.25. A 7-mi cab ride costs $8.50. Which equation models the cost y of a cab ride that is x miles?
kondaur [170]
$2.13 for a 1 mile ride
7 0
4 years ago
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