Given that line <span>EJ is perpendicular to line CN and line CN is parallel to line KT.
Since E, J and V is collinear (are on the same straight line), thus EV is perpendicular to CN, and since CN is parallel to KT, thus EV is perpendicular to KT.
Since line C, J and N are collinear and CN is perpendicular to EJ, this means that line CN and line EJ meets at point J and since they are perpendicular, <CJV = 90 degrees.
Therefore, the correct answers are:
</span>
<span>EV←→⊥KT←→
and
m∠CJV=90°</span>
-3(-6b+5) -3 times -6b= 18b and -3 times 5= -15 so the answer is 18b-15
Answer:
The regular price was $30.
Step-by-step explanation:
The bookstore sells used books at 40% discount off the price of new books. This means, after the discount, the price of a used book will be 100% - 40% = 60% of the original price.
Now, if the price of the used book is $18, we know that is is 60% of the price of the book when it was new.
Let us call , the price of the book when it was new, then we know that
<em>(this says that 60% of the original price is $18.</em><em>)</em>
We solve for and get
The price of the book was $30 when it was new.
Answer:
The number of adults, a, is 300, and the number of kids, k, is 200.
Step-by-step explanation:
k + a = 500 (1)
3k + 10a = 3,600 (2)
Multiply both sides of equation (1) by -3.
(k + a) • -3 = 500 • -3
-3k − 3a = -1,500
Now, add this equation to equation (2).
3k + 10a = 3,600
+ -3k − 3a = -1,500
7a = 2,100
a = 300
Substitute the value of a into equation (1).
k + a = 500
k + 300 = 500
k = 500 – 300
k = 200
In the system of equations, a represents the number of adults and k represents the number of kids who visited the carnival. The number of adults, a, is 300, and the number of kids, k, is 200.
9.5% of 500 = 47.5
9.5% × 500 =
(9.5 ÷ 100) × 500 =
(9.5 × 500) ÷ 100 =
4,750 ÷ 100 =
47.5;