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Fynjy0 [20]
3 years ago
13

Need a little help here pls

Mathematics
1 answer:
Crank3 years ago
4 0

Answer:

The statements that must be true are:

XY and JK form four right angles ⇒ B

XY ⊥ JK ⇒ C

JP = KP ⇒ E

m∠JPX = 90° ⇒ F

Step-by-step explanation:

From the given figure

∵ Line XY is the perpendicular bisector of the line segment JK

→ That means line XY is the line of symmetry of the line segment JK

∴ XY ⊥ JK ⇒ C

∵ XY ∩ JK at point P

∴ P is the midpoint of JK

∵ XY ⊥ JK

∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles

∴ XY and JK form four right angles ⇒ B

∵ The measure of the right angle is 90°

∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°

∴ m∠JPX = 90° ⇒ F

∵ P is the midpoint of JK

∴ JP = KP ⇒ E

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(2, 1)

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Distributive Property

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  • Division Property of Equality
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Step-by-step explanation:

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<u>Step 2: Rewrite Systems</u>

<em>Manipulate 1st equation</em>

  1. [Subtraction Property of Equality] Subtract 2x on both sides:                      y = 5 - 2x

<u>Step 3: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                         3x - 2(5 - 2x) = 4
  2. [Distributive Property] Distribute -2:                                                                3x - 10 + 4x = 4
  3. [Addition] Combine like terms:                                                                        7x - 10 = 4
  4. [Addition Property of Equality] Add 10 on both sides:                                   7x = 14
  5. [Division Property of Equality] Divide 7 on both sides:                                 x = 2

<u>Step 4: Solve for </u><em><u>y</u></em>

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