Answer:
€120
Step-by-step explanation:
Let us represent
Ann = x
Brian = y
Carol = z
€400 is divided between Ann, Brian and Carol
Hence: x + y + z = €400...... Equation 1
Ann has twice as much as Brian
Hence:
x = 2y
Brian has three times as much as Carol.
y = 3z
z = y/3
We substitute
x + y + z = €400...... Equation 1
2y + y + y/3= €400
Multiply both sides by 3
2y × 3 + y × 3 + y/3 × 3 = €400 × 3
6y + 3y + y = €1200
10y = €1200
y = €1200/10
y = €120
How much does Brian receives ?
Since, Brian = y
Brian receives €120
Answer:
5.66
Step-by-step explanation:
Use PEMDAS
Parentheses - there are none so dont do anything regarding this step
Exponents - there are none so dont do anything regarding this step
Multiplication - multiply everything except 2.6 and that will give you 3.06
Division - there is none so dont do anything regarding this step
Addition - add 3.06 and 2.6 and that will give you 5.66
Subtraction - there is none
Therefore, the answer is
5.66
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: 2. Linear pair postulate
4. 60 + mACB=180
5. mACB=120
6. definition of obtuse angle
360° = 2π
2 = 360° / π
1 rad = 360° / 2π
