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Rina8888 [55]
3 years ago
9

Work out the size of angle X.​

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

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U xy, for u = 2, x = 9, and y = 6
Yuki888 [10]
First thing you gotta do is to sub in the numbers into the equation/expression
<span>uxy = (2)(9)(6)
</span>      = 108

* brackets means multiplying

Final answer is 108
8 0
3 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

-3n = -135            <em>divide both sides by (-3)</em>

n = 45

n + 1 = 46

n + 2 = 47

6 0
4 years ago
How many pounds of candy worth 70 cents a pound must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixtur
Svet_ta [14]
<h3>Answer:</h3>

B) 10 pounds

<h3>Explanation:</h3>

Let x represent the amount of 70¢ candy to be added. The value of the mixture can be written as ...

... 90×30 + 70x = 85×(30+x) . . . . . where 30+x is the total weight of the mix

... 2700 +70x = 2550 +85x

... 150 = 15x . . . . . . add -70x-2550

... 10 = x . . . . . . . . . divide by the coefficient of x

10 pounds of candy at 70¢/lb must be added.

5 0
3 years ago
The gym is filled with 215 students &amp; adults. Student tickets are $.50 and adults are $2.00. If $250.00 was collected, how m
BARSIC [14]
In order to determine the correct answer, it would be helpful to set up equations. We do as follows:

Let x = students
      y = adults

x + y = 215
.50x + 2y = 250

SOlving simultaneously, we have:

x = 120 students 
y = 95 adults

Hope this answers the question. Have a nice day.
3 0
3 years ago
Johnny went to an apple farm to pick some apples. The admission to get in was $5.00 and the apples cost $0.75 per pound.
sasho [114]

Answer:

y=0.75x+5

Step-by-step explanation:

It would be this equation because you start at 5, which is the y-intercept, then you add 0.75 for every pound of apples. So on a graph you would start at 5 on the y-line then go up by 0.75

6 0
3 years ago
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