Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer:
1 box has 12 chocolates
thus 20 boxes have ( 20 * 12) = 240 chocolates
1 carton has 240 chocolates (20box)
10 cartons have 240 * 10 = 2400 chocolates
Answer:
Width = x² + 5x - 4
Step-by-step explanation:
By the definition of an area model,
Area = Width × greatest common factor
Since, Area = 4x² + 20x - 16
And greatest common factor = 4
4x² + 20x - 16 = 4(Width)
By dividing both the sides of the equation by 4,
x² + 5x - 4 = Width
Therefore, width = (x² + 5x - 4) will be he answer.
Answer: <u>24 years</u>
Step-by-step explanation:
% • total = Answer
4.25% • $40,000 = Answer
.0425 • $40,000 = Answer
Answer = $1,700 per year
40,000 ÷ 1,700 = 23.5
<u>23.5 rounded to the nearest year is 24</u>
Answer:
5%
Step-by-step explanation:
5% of the roses died.
480 roses = Total number of roses
24 roses = number of roses that died
24 roses that died as a percent of 480 the total is:
24/480*100= 5%
To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.
