What is the next step you should take -11x = -11
1 answer:
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Answer:
The value of d of the given equation is 8.67
Step-by-step explanation:
Given equation as :
3 d + 16 = - 2 × ( 5 - 3 d )
Or, 3 d + 16 = - 10 + 6 d
Or, 16 + 10 = 6 d - 3 d
So , 26 = 3 d
∴ d = = 8.67
Hence The value of d of the given equation is 8.67 Answer
Answer:
$117,380,000
Step-by-step explanation:
Stockholders' Equity section of the balance sheet
Paid in capital:
common stock $120 Par (500,000 Shares Authorized, 400,000 Shares Issued) = $120 * 400,000 = $48,000,000
Excess over par = $6,400,000
Paid in capital, common stock = $48,000,000 + $6,400,000 =$54,400,000
From sale of treasury stock = $4,500,000
Sum total paid-in capital = $54,400,000 + $4,500,000 = $58,900,000
Retained earnings =$63,680,000
Treasury stock (40,000 shares at cost) = $5,200,000
Total stockholders’ equity =$58,900,000 + $63,680,000 - $5,200,000
= $117,380,000
Answer:
Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).
Step-by-step explanation:
Part 1:
The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).
The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.
The relation between the vertices of ABCDE and MNOPQ are defined as
It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2:
If polygon MNOPQ is translated 3 units right and 5 units down, then
Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).