Correct answer is Option A: 18/48 = 21/56
You’ll have to divide the numerator by the denominator of each fraction to see whether they have the same quotient:
18/48 = 0.375
21/56 = 0.375
The other options are not proportional.
B) 20/28 = 15/18:
20/28 = 0.714
15/18 = 0.833
Thus, 20/28 ≠ 15/18
C). 3/5 = 13/10
3/5 = 0.6
13/10 = 1.3
Hence, 3/5 ≠ 13/10
D) 7/10 = 10/7
7/10 = 0.7
10/7 = 1.43
Thus, 7/10 ≠ 10/7
These solutions prove that the correct answer is A) 18/48 = 21/56
Please mark my answers as the Briainliest if you find my explanations helpful :)
Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 =
, and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.
Answer:
The correct answer is option D. 4
Step-by-step explanation:
Points to remember
Opposite sides of the parallelogram are equal.
From the figure we can see that,AB and CD are opposite sides.
Therefore AB = CD
<u>To find the length of AB</u>
From the figure we get, AB = 4 units
Therefore CD = 4 units
<u>To find the x coordinate of point C</u>
y coordinate is -1
x coordinate is 4 units from point D
x coordinate of D is 0, therefore x coordinate of C = 0 + 4 = 4
The correct answer is option D. 4
Answer:
The third, they are equivalent because the size of the shaded area is the same.
Answer:
H
Step-by-step explanation:
To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.
