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sveta [45]
2 years ago
14

Find the value of x.

Mathematics
1 answer:
marshall27 [118]2 years ago
5 0

Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

<em>Check</em>

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

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A recipe for chocolate chip muffin states that yields 12 muffins with 340 cal per muffin you and decided make a mini muffins and
stira [4]

If you eat two of your muffins, you will consume 408 calories.

<h3>How many calories are in a muffin?</h3>

Here a recipe says that yields 12 muffins with 340 calories per muffin, so the total number of calories for the recipe is:

C = 12*340 cal = 4,080 cal.

If you followed the same recipe, then the total number of calories of your 20 muffins is 4,080 calories.

Assuming that those calories are evenly distributed among the 20 muffins, then the number of calories each muffin will have is given by the quotient:

4,080cal/20 = 204 cal.

Each of your 20 muffins will have 204 calories, then if you eat two of these, you will consume 408 calories.

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

8 0
2 years ago
Consider strings of four decimal digits. Which rule must be used to find the number of strings of four decimal digits that have
jeyben [28]

Answer:

36 possible ways

Step-by-step explanation:

Range of digit : 0 up to 9

To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the multiplication rule :

In other to have exactly 3 digits from 4 that are 9s :

Say:

We have 3 9s and the last number could be any of the 10 possible digits except 9

First 9 = 1 possible way (since we have only one 9 between (0 to 9)

Second 9 = 1 possible way

Third 9 = 1 possible way

4th digit = 9 ways (could be any digit between 0 and 9, except 9)

Also, we consider the 4th digit's position ; as it could take up any of different positions in between the 9s = 4 ways

Using the product rule :

1 * 1 * 1 * 9 * 4 = 36 possible ways

5 0
3 years ago
The blue dot is at what value on the number line?
lana [24]

Answer:

-22

Step-by-step explanation:

-16 - 6 = - 22

-10 - 6 = - 16

5 0
4 years ago
Read 2 more answers
I need help somebody please
solong [7]

Her pay increases $10.00 fore every hour she works

The slope of the line is 10 because you have to pick two points off of the graph, it doesn't matter what two points, and stick them in the formula: y²-y÷x²-x. Once you work out this formula, you get 10/1 which equals to the slope being 10.

6 0
3 years ago
Smith Engineering is in the process of reviewing the salaries of their surveyors. During this​ review, the company found that an
siniylev [52]

Answer:

T = 3.5 hours

Step-by-step explanation:

this is a rate problem.

an experienced surveyor takes 7 hours to survey a roadbed

an apprentice surveyor takes 9 hours to survey a roadbed

the rate of the experienced surveyor =\frac{1}{7}

the rate of the apprentice surveyor = \frac{1}{9}

if the two work together , \frac{1}{T} =\frac{1}{7} +\frac{1}{9}

T = \frac{56}{16}

T = 3.5 hours

3 0
3 years ago
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