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Paha777 [63]
3 years ago
7

What is the value of z? ( please help)

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,  

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

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3 years ago
Find two consecutive integers whose product is 6 less than the square of the smaller number
Artyom0805 [142]

Answer:

Hi there!

Your answer is:

The smaller integer is -6

The larger integer is -5

Step-by-step explanation:

Two consecutive integers:

x, x+1

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x^2 + x= x^2 -6

-x^2

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Plug back in

First integer (smaller):

-6

Second integer (larger):

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<u>Check</u><u> </u><u>your </u><u>work</u><u>!</u>

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30 = 36-6

30= 30 ✓✓✓✓

That's how we determine that <em>this </em><em>is</em><em> </em><em>the</em><em> </em><em>corr</em><em>ect</em><em> </em><em>answe</em><em>r</em>

Hopefully this helps

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3 years ago
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