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Juli2301 [7.4K]
2 years ago
5

B.

Mathematics
1 answer:
Helen [10]2 years ago
7 0

Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

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IceJOKER [234]

Hi!

<h3>Use the distribution property</h3>

1.4t — 0.4 * t - 0.4 * —3.1 = 5.8

1.4t — 0.4t - 1.24 = 5.8

<h3>Simplify</h3>

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<h3>Add 1.24 to both sides</h3>

1t - 1.24 + 1.24 = 5.8 + 1.24

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<h2>The answer is t = 7.04</h2>

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