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mart [117]
3 years ago
9

Help two helpless triangles?

Mathematics
2 answers:
mezya [45]3 years ago
5 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

Illusion [34]3 years ago
3 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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A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio
My name is Ann [436]

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- <em>That means it travels down another 45 meters</em>

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

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300/28 in simplest form
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<u><em>Answer:</em></u>

The reduced form of  

300 /28  is  75 /7

<u><em>Steps to simplifying fractions: </em></u>

Find the GCD (or HCF) of numerator and denominator

GCD of 300 and 28 is 4

Divide both the numerator and denominator by the GCD

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28 ÷ 4

<em><u>Reduced fraction:  </u></em>

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