Answer:
Pythagorean theorem: a^2 + b^2 = c^2
1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 81 --> sqaure root to find the answer basically.
a = 9
- we put AD as a so AD = 9
final answer : 9
2. to find AC, simply add AD and DC.
9 + 16 = 25
final answer: AC = 25
3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.
-- let me know if you need any further explanations.
Answer:
It would be 2 times the old perimeter.
Answer:
Step 1) Convert the 3.15 percent to a decimal number.
To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.
3.15 ÷ 100 = 0.0315
Step 2) Convert the decimal number to a fraction.
To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.
0.0315 =
0.0315
1
Step 3) Remove the decimal point in the numerator.
To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.
0.0315 × 10000
1 × 10000
=
315
10000
Step 4) Simplify the fraction.
The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.
315 ÷ 5
10000 ÷ 5
=
63
2000
Step 5) Convert the fraction to a ratio.
To convert the fraction to a ratio, replace the fraction divider line with a colon.
63
2000
= 63:2000
That was the final step. Below is the answer to 3.15 percent as a ratio.
3.15% = 63:2000
Step-by-step explanation:
Answer:
a) adjacent angles, complementary angles
b) vertical angles, congruent angles
c) supplementary angles, adjacent angles
d) supplementary angles, adjacent angles
Step-by-step explanation:
Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )
Complementary angles are angles that form a 90 degree angle ( right angle )
Supplementary angles are angles that form a straight line
Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )