Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB
Angle ABD = Angle ABC
Angle BAC = Angle BAD
The pair of angles that are equal lie on the side AB
Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)
Answer: Second option
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point A(0, 8)
Point B(4, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

Given: The following functions



To Determine: The trigonometry identities given in the functions
Solution
Verify each of the given function

B

C

D

E

Hence, the following are identities

The marked are the trigonometric identities
Answer:
0.0475
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (125 − 100) / 15
z = 1.67
Use a calculator or chart to find the probability. Using a chart:
P(Z > 1.67) = 1 − P(Z < 1.67)
P(Z > 1.67) = 1 − 0.9525
P(Z > 1.67) = 0.0475