Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.
Answer:
Around 120, but 21 times 6 is 126.
Step-by-step explanation:
Since it is known that 20 times 6 is 120, that would be a reasonable estimate because it doesn't account for the ones.
Answer:
For the first example, the constant of proportionality should be .4 of a mile, meaning that Li can run .4 mile per minute. The equation should be .4x = y. For the second example, it is easy to find the constant of proportionality because it is given, which is 2. The equation to represent this would be 2x = y.
Step-by-step explanation:
The reason why the constant of proportionality is .4 is because I used the ratio from before and compared it to the one needed. I simply turned the ratios into fractions and I cross multiplied before turning it into a equation to solve to find .4 as the constant of proportionality. The equation should be .4x = y because x = the amount of minutes Li ran, and y = the total amount of miles she ran. The reason why the constant of proportionality is 2 in the second problem is because Jennifer is paying 2 per pound, which is the unit rate. If we are looking at the cost per pound, it would mean that 2 is the constant of proportionality. The reason why the equation to represent this would be 2x = y is because x = the amount of pounds, and y = the total amount of money, which represents the situation.
Answer:
The scale factor of dilation is 2.
Step-by-step explanation:
From the given information it is notices that the vertices of preimage are A(1, 4), B(3, 4), C(3, 1), and D(1, 1). The vertices of image are A'(2, 8), B'(6, 8), C'(6, 2) and D'(2, 2).
The scale factor is the ratio of distance of a image of a vertex from the center of dilation and distance of the vertex from the center of dilation.
The center of dilation is origin. So, the scale factor is
.... (1)
Distance formula:
Now, put these values in equation (1).
Therefore the scale factor of dilation is 2.
Step-by-step explanation:
<h2>1).</h2>
The sum of interior angles of a polygon is given by
<h3>( n - 2) × 180°</h3>
where
n is the number of sides
From the question, the number of sides is 50 that's n = 50 .
Substitute the value into the above formula and solve.
We have
(50 - 2 ) × 180 = 48 × 180
<h3>The answer is 8640°</h3>
<h2>2).</h2>
The sum of interior angles of a polygon is given by
<h3>( n - 2) × 180°</h3>
where
n is the number of sides
From the question the sum of the angles is 2160°
Substitute the values into the above formula and solve for the number of sides.
That's
2160 = (n - 2) × 180
2160 = 180n - 360
180n = 2160 + 360
180n = 2520
Divide both sides by 180
n = 14
<h3>Therefore the number of sides is 14</h3>
<h2>3).</h2>
The exterior angle of a polygon can be found by using the formula
<h3>
</h3>
where
n is the number of sides
From the question the number of sides is 6 that's n = 6.
Substitute the value into the above formula and solve.
We have
<h3>
</h3>
We have the final answer as
<h2>60°</h2>
Hope this helps you.