Okay, for this proof, I'll write the steps out.
Statements:
1. ABCD is a parallelogram
2. FG bisects DB
3. <GEB ≡ (pretend congruent symbol) <FED
4. DE ≡ BE
5. <CDA ≡ <ABC
6. < CDB ≡ <DBA
7. triangle DFE ≡ triangle BGE
8. FE ≡ GE
9. DB bisects FG
Reasons:
1. Given
2. Given
3. vertical angles are congruent
4. If bisected, then split into congruent parts
5. opposite angles of a parallelogram are congruent
6. Subtraction Property
7. ASA
8. CPCTC
9. segment split into congruent parts by other segment is bisected.
Hope this helped! :)
Answer:
T=3
Step-by-step explanation:
4-T = 3(t-1) -5
4-t=3T -3-5
^^ distribute
-T=3T-12
^^combine like terms and subtraction prop. of equality.
-4T=-12
^^ subtraction property of equality
(-4T=12)/-4
^^ thats just getting rid of the -sign, then its also simpliying
T=3
7.50/ h because 15 is over 2 and h is 1 and since the bottom is half the top is half therefore it is 7.50 over h
Answer: (4,2). Explanation: In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. The Elimination Method
Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
variable equation. It is relatively difficult to determine the values of x and y without manipulating the equations. If one adds the two equations together, the x s cancel out; the x is eliminated from the problem. Hence it is called the "elimination method”.
Y = –6.x²<span> + 3.x + 2.
Its vertex form is (y-k) = a(x-h)</span>², where the vertex is V(h , k).
Let's calculate k and h from the original function y = - 6.x² + 3.x + 2.
a) the maximum is when f(0) = k→ -6(0)² + 3(0) + 2 , hence k = 2
b) The axis of symmetry is equal to x = -b/2.a:
x= -(3)/2.(-6) → x = 1/4 (1/4 is = h); Now replace k & h in the Vertex form
y-k = a(x-h)²
y- 2 = -6(x-1/4)²
