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mote1985 [20]
3 years ago
14

In the following diagram, HI is parallel to JK. What is the measure of x?

Mathematics
2 answers:
Vilka [71]3 years ago
8 0

Answer:

60

Step-by-step explanation:

find the missing angle in triangle HAI =60.

VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60

Angle x is alternating with the angle.

Degger [83]3 years ago
5 0

Answer:

x = 60 \:  \: degrees

Step-by-step explanation:

<h3>Lets take LAH angle as 'y'</h3>

61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\  y = 60 \:  \: degrees

y = x(corresponding \:  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: angles) \\ 60 = 60 \\  \\

x = 60 \:  \: degrees

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I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3
Darina [25.2K]

There are five nickels.

Let <em>w</em> = the number of pennies; <em>x</em> = the number of nickels; <em>y</em> = the number of dimes; <em>z </em>= the number of quarters.

Then, we have three equations with four unknowns:

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(2) 3<em>w</em> = 2<em>z</em>

(3) 2<em>y</em> = 3<em>z</em>

However, there is a fourth <em>unstated </em>condition: <em>w</em>, <em>x</em>, y, and <em>z</em> must all be integers.

Assume that z = 6 (to avoid fractions).

From Equation (2), w = 4.

From Equation (3), y = 9.

Insert the values for <em>w</em> and <em>y</em> into equation (1).

4 + <em>x</em> = 9

x = 9 – 4 = 5

Thus, there are 4 pennies, 5 nickels, 9 dimes, and 6 quarters.

<em>Check</em>: 4 pennies + 5 nickels = 9 dimes

6 quarters + 4 pennies = 3 quarters for every 2 pennies

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Answer:

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Step-by-step explanation:

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Jason traveled 40 mi in 50 minutes or \frac{5}{6} hours from Detroit to Ann Arbor.

By the formula,

Speed = \frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}

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