Answer:
1. ΔCAT ≅ ΔODG by SSS, Angle D equals 45 degrees
Step-by-step explanation:
Triangles can be proven congruent or the same shape and size by 5 postulates:
- SAS - Side - Angle - Side
- ASA - Angle - Side - Angle
- AAS - Angle - Angle - Side
- SSS - Side - Side -Side
- HL - Hypotenuse - Leg
To state a triangle is congruent write ΔABC ≅ ΔDEF by ________ and name the pattern. Use the letters for each triangle you see to write or name it.
To identify the pattern, place your pencil on a vertex of the triangle. Trace it and label each congruent part as you come to it as S or A.
For number 1, this would be S - S - S or SSS
(2x^2 + 4x + 6) - (-3x - 5x^2 + 4)
The negative sign separating the expressions is just multiplying the rightmost expression by -1.
(2x^2 + 4x + 6) + (3x + 5x^2 - 4)
Now, let's add together terms that share the same variable.
2x^2 + 5x^2 = 7x^2
4x + 3x = 7x
6 + (-4) = 2
Let's combine each of these terms into one expression.
7x^2 + 7x + 2 is the final answer.
Answer:
40
Step-by-step explanation:
Because these angles are the same, we can make an equation, 5x-5=3x+13.
2x - 18 = 2 • (x - 9)
Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
Replace x with 9 in this equation, 3(9) + 13
27+13
=40
Answer:
-2 1/4z +1/4
Step-by-step explanation:
3/4 - 4z +5/4 z- 1/2 + 1/2 z
Put like terms near each other
3/4- 1/2 - 4z +5/4 z+ 1/2 z
We need to get common denominators to combine
First the constant terms
3/4 - 1/2*2/2
3/4 - 2/4 = 1/4
Then the variable terms
-4z *4/4 +5/4z + 1/2z *2/2
-16z/4 + 5/4z +2/4z
-9/4z
Changing from an improper fraction to a mixed number
-2 1/4 z
-2 1/4z +1/4