14% of $15,500 is $2,170. $15,500 minus $2,170 is $13,330.
When the car is on sale, the price is reduced from $15,500 to $13,330.
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
sqrt(2x+1) when x=11
sqrt(2*11+1)
sqrt(22+1)
sqrt(23)
4.79583
to the nearest tenth
4.8
sqrt(4x+1) + sqrt(2x) when x=8
sqrt(4*8+1) + sqrt(2*8)
sqrt(32+1) + sqrt(16)
sqrt(33) + 4
5.7446 +4
9.7446
rounding to the nearest tenth
9.7
For this case, the first thing we must do is calculate the number of attendees who will make purchases.
We have then:
(42000) * (0.65) = 27300
We are now looking for the number of attendees that each vendor will attend.
We have then:
N = (27300) / (10)
N = 2730
Answer:
the average number of customers each will serve is:
N = 2730
9514 1404 393
Explanation:
Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.
__
2. m∠6 = (1/8)m∠4 . . . . Given
3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary
4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)
Here is the "algebra" that gets you to line 5:
4a. 9m∠6 = 180° . . . collect terms
4b. m∠6 = 20° . . . . . divide by 9
4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4
5. m∠6 = 20°, m∠4 = 160° . . . . Algebra
