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ehidna [41]
3 years ago
8

Use the diagram and given information to answer the questions and prove the statement.

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

<u> ASA Postulate (Angle-Side-Angle):</u>

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

  • ∠X≅∠Z (given)
  • XY≅ZY (given)
  • ∠Y is common angle

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

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A piece of machinery depreciates $5000 the first year,
eimsori [14]

Answer:

A- $3500

Step-by-step explanation:

The depreciation rate is $300

$5000, $4700, $4400

$300 x 3 = 900

$4400 - 900 =

$3500.

4 0
3 years ago
Which expression is equivalent to -8 - (-12)<br> 8 - 12 <br> -8 + 12<br> -8 - 12<br> -8 (8+12)
aleksley [76]

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3 years ago
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7 0
3 years ago
Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right
sashaice [31]

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2  

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

3 0
2 years ago
Which expression best estimates <br> ________<br> question in picture <br> 10 points
Contact [7]

Answer:

B: -18 ÷ 3

Step-by-step explanation:

-18 because 1/4 is closer to 18

3 because 2/3 is closer to 3 than 2

Hope This helps! (Edgenunity Sucks!)

6 0
2 years ago
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