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Alinara [238K]
3 years ago
8

Find the value of x, y, and z

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

  (x, y, z) = (7, 9, 90)

Step-by-step explanation:

The two acute angles between l1 and l2 are vertical, so congruent.

  (9x -7) = 8x

  x = 7 . . . . . . . . . add 7-8x

These are supplementary to the obtuse angle between those lines:

  8(7) + (13y +7) = 180

  13y = 117 . . . . subtract 63

  y = 9 . . . . . . . divide by 13

The angle marked z is supplementary to the angle marked as a right angle.

  z + 90 = 180

  z = 90

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
The hypotenuse of a right triangle measures 17 cm and one of its legs measures 8 cm.
riadik2000 [5.3K]

Answer:

15cm

Step-by-step explanation:

  • c2=a2+b2 thus do the math and 15 comes
3 0
2 years ago
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PLEASE HELP<br> Complete the table by computing the amount in the account at the end of each period.
skad [1K]

Answer:

See below

Step-by-step explanation:

  • Initial Principal P₀ = 1000
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  • End of second period = 1005 + 1000*0.02/4 = 1010
  • End of third period = 1010 + 1000*0.02/4 = 1015
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3 years ago
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Answer:

Can you help me with physics and maths?

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2 years ago
B) Evaluate the algebraic expression 2x2 + 5x +6 if x is equal to (-1).​
Korvikt [17]

Step-by-step explanation:

if x is equal to - 1

Then

2x² + 5x + 6

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= 2 - 5 + 6

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