Daniel made an error in line 3. He wrongly divided the sum of sides and height. The area of the trapezoid is 42 cm².
<h3>What is the area of the trapezoid?</h3>
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.
Area of a trapezoid = 1/2 x (sum of the lengths of the parallel sides) x height
- Line 1: A = 1/2 x (6) + (7 + 7)
- Line 2: A = 1/2 (6) (14)
- Line 3 : 3 x 14
- Line 4 : A = 42 cm²
To learn more about trapezoids, please check: brainly.com/question/25748893
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Hey there!
We can set up an equation. Since 20% is said as twenty percent, we can conclude that it says "per-cent", which means "per hundred", like century is a hundred years. That way, we can say that 20% is also written as a decimal of twenty hundredths, because it's per hundred. Thus, we're saying that his down payment, 1,600, is (this is keywording for equals) 20% of (keyword for multiplication) the total price (x). That gives us:
1,600 = .20x
Divide both sides by .20
x = 8,000
Therefore, the cost of the car was 8,000 dollars.
Hope this helps!
Answer: the costs would be the same if he orders 29 rose flowers.
Step-by-step explanation:
Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.
Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is
3x + 12
Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41
For the costs to be the same, the number of rose flowers that he orders would be
3x + 12 = 2x + 41
3x - 2x = 41 - 12
x = 29
Answer:
measure of angle YVZ=56°
Step-by-step explanation:
angle WVY and angle YVZ form a right angle, meaning they add to 90 degrees.
We can make an equation out of this:
2x+3x+5=90
solve for x
5x+5=90
5x=85
x=17
substitute x back into the expression for angle YVZ because that's the measure we're looking for
angle YVZ=3(17)+5=56
Answer: Factorization of 6x + 120 = 6(x+20)
Factors = 6 and x+20
Step-by-step explanation:
Given: The expression 6x + 120 represents the total amount in the account after 6 months.
We need to factor the expression 6x + 120
We can write this as
6 x + 6 (20)
Common factor = 6 in both terms
So, 6 x + 6 (20) = 6(x+20)
Hence, Factorization of 6x + 120 = 6(x+20)
