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arsen [322]
3 years ago
11

50 points Prove and find the measurement?

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

nydimaria [60]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

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horsena [70]

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

     { If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW  ------- (ii)    {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV    

Hence proved.

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Ierofanga [76]
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What is 3/7 × 5/6 thanks​
aleksley [76]

3/7*5/6

cross out 3 and 6

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5/14

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Sienna, Rhys, and Micah are all reading the same book for school. Sienna has read 40% as far as Rhys has, and Rhys has read 40%
ruslelena [56]

Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.

Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:

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<em>Find out more at brainly.com/question/2807698.</em>

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