Answer:
<em>x</em><em> </em><em>=</em><em> </em><em>4</em><em>5</em>
<em>y</em><em> </em><em>=</em><em> </em><em>5</em>
Step-by-step explanation:
<em>it</em><em> </em><em>is</em><em> </em><em>b</em><em>ecause</em>
<em>9</em><em>0</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>4</em><em>5</em>
<em>(</em><em>9</em><em>0</em><em>+</em><em>1</em><em>0</em><em>)</em><em>/</em><em>2</em><em>0</em><em> </em>
<em>(</em><em>1</em><em>0</em><em>0</em><em>)</em><em>/</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>,</em><em>5</em>
9514 1404 393
Answer:
152°
Step-by-step explanation:
If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.
The measure of each angle in the other congruent pair is 152°.
Answer:
Step-by-step explanation:
By the trapezoid midsegment theorem,
2x = (x-6) + (2x-8)
2x = x - 6 + 2x - 8
2x = 3x - 14
x = 14
So we know AD = 8, EF = 14, and BC = 20
Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
Answer : (1,-1)
a line through the points (-1, 1), (0, 2), (1, 3)
To find the point in the graph of inverse function we interchange x and y values
For point (-1 , 1) , the point on inverse function is (1, -1)
For point (0 , 2) , the point on inverse function is (2, 0)
For point (1 , 3) , the point on inverse function is (3, 1)
so (1,-1) will be included in the graph of the inverse of the function
