Answer:
1. Given
2. Definition of Congruent Angles
3. Triangle Interior Angle Sum Theorem
4. Transitive Property of Equality
5. Substitution Property of Equality
6. Definition of Congruent Angles
Stuck on the same question and it looks like nobody cares to answer on this website
Answer:
y = 6x + 22
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 14)
Point (-1, 16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Divide:

<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: 16 = 6(-1) + b
- Multiply: 16 = -6 + b
- Isolate <em>b</em>: 22 = b
- Rewrite: b = 22
<u>Step 4: Write linear equation</u>
y = 6x + 22
Since we are going to check the similarity of the triangles and we have given two sides and angle we have to check the Side-Angle-Side option of the similarity. We have equal angles. Then, we have to check the proportionality of the sides. If these triangles are equal, then VT/QR=UT/RS. If we calculate it, 28/7=44/11=4. This last number is the similarity ratio and since we have proportionality, ΔQRS <span>~ </span>ΔVTU. The correct answer is D)
Answer:
Here is a way one of my math teachers taught me.
For + x + = +:
In elementary school, you were taught by your math teacher that an positive number multiplied with a positive number is equal to a positive number. To solve, use basic rules of multiplications.
For + x - = -:
Think of it this way. There are two line segments that makes a positive sign. When multiplying, you are subtracting a line, which would result in a negative sign. Whenever a positive multiplies a negative, it is always a negative outcome.
For - x - = +:
There are two lines given (two negatives). When multiplied, the two lines make a positive sign (which is made by drawing two lines). This shows that two negative numbers multiplied or divided together will make a positive sign .
~