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GuDViN [60]
3 years ago
7

The sum of two numbers is -12. One of the numbers is 4. What is the other number?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0
This could be done in two ways. If the first number is 4, then you could add 4 with -16. 4 + (-16) is -12. But it could also be -16 + 4, which still equals to -12.

But in the end, your answer is the same : -16 is the other number.
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Answer: The length of segments between this point and the vertices of greater base are 7\frac{5}{7} and 18.

Step-by-step explanation:

Let ABCD is the trapezoid, ( shown in below diagram)

In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7

Let P is the point where The extended legs meet,

So, according to the question, we have to find out : AP and BP

In Δ APB and Δ DPC,

∠ DPC ≅ ∠APB ( reflexive)

∠ PDC ≅ ∠ PAB    ( By alternative interior angle theorem)

And, ∠ PCD ≅ ∠ PBA  ( By alternative interior angle theorem)

Therefore, By AAA similarity postulate,

\triangle APB\sim \triangle D PC

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Thus, PD= 4\frac{5}{7}

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AP= 4\frac{5}{7}+3 =7\frac{5}{7}

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⇒ y = 77/7 = 11

Thus, PC= 11

But, PB= PC + CB

PB= 11+7 = 18



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