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JulsSmile [24]
3 years ago
5

The angle measurements in the diagram are represented by the following expressions

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

∠ B = 45°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent , then

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

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Answer:

0.5, 0.9, 1.3, 1.7, 2.1, 2.5, 2.9, 3.3, 3.7, 4.1

Now you can add them all

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Step-by-step explanation:

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sashaice [31]

Answer:

4.8 km is the answer.

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atroni [7]

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Answer: X = 27

Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).

Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.

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