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Gnoma [55]
2 years ago
9

Lexi say that -68 feet is a greater depth than- 75 feet, since-68>-75. Is Lexi correct? Explain

Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

No

Step-by-step explanation:

When working with negative numbers in terms of depth, greater depth are depicted by values as we move farther to the left of the number line.

With this in mind, - 75 feets is farther to the left of the number line and as such represents a greater depth value Than - 68 feets

Therefore, when expressing depth or elevation distances, the values should be iewwd in absolute terms. Then |75| > |68|. While bearing in mind that depth is downward and thus negative

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PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
emmainna [20.7K]

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

7x-9+4x+22 = 90

or, 11x = 90-22+9

or, 11x = 77

or, x = \frac{77}{11}

or, x = 7

Substituting the value of x = 7 in ∠QPR we get,

∠QPR = 7(7)-9

or, ∠QPR = 40^\circ

Hence,

The value of ∠QPR is 40°.

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