0 ≠ 4. The equation is wrong, and has no true solution.
8x + 3 - 10x = -2(x - 2) + 3
<em><u>Distributive property.</u></em>
8x + 3 - 10x = -2x + 4 + 3
<em><u>Combine like terms.</u></em>
-2x + 3 = -2x + 7
<em><u>Cancel like terms.</u></em>
<em><u>Subtract 3 from both sides.</u></em>
0 ≠ 4
You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.
The diagram shows that:
- Side AB = Side XY (sides with one tick mark)
- Side BC = Side YZ (sides with double tickmarks)
- Angle C = Angle Z (similar angle markers)
We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.
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So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.
Answer:
<u><em>noun</em></u>
1. a length of cord, rope, wire, or other material serving a particular purpose.
2. a long, narrow mark or band.
<u><em>verb</em></u>
1. stand or be positioned at intervals along.
2. mark or cover with lines.
Answer:
The value of g that makes the statement true is 11.
Step-by-step explanation:
The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:
7*(g-9) + 12 = 26
7*(g-9) = 26 - 12
7*(g-9) = 14
(g-9) = 14/7
(g-9) = 2
g = 2 + 9 = 11
The value of g that makes the statement true is 11.
Answer:
Sum of money invested in corporate bonds = 30,000
Step-by-step explanation:
Total sum = 40,000
The rate of interest for corporate bonds = 10 % = 0.1
The rate of interest for municipal bonds = 6 % = 0.06
Total interest = 3600
Let sum of money invested in corporate bonds = x
The sum of money invested in municipal bonds = 40000 - x
× 0.1 × 1 + (
) × 0.06 × 1 = 3600
(0.1- 0.06) + 2400 = 3600
0.04 = 1200
= 30,000
Since x = sum of money invested in corporate bonds
So sum of money invested in corporate bonds = 30000
