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Ivanshal [37]
3 years ago
9

Layla has $0.80 worth of nickels and dimes. She has 5 more dimes than nickels. By following the steps below, determine the numbe

r of nickels, x,x, and the number of dimes, y,y, that Layla has.
Mathematics
1 answer:
zvonat [6]3 years ago
4 0

Answer:

Step-by-step explanation:

X = number of nickels

Y= number of dimes

.5x + .10x + 5= .80

.15x +.50 =.80

Subract .5 from both sides and

Divide by .15 on both sides

x= 2 therefore you have 2 nickels

And you have 7 dimes

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A. Find the measure of m&lt;1<br> B. Find the measure of m&lt;1 ;m&lt;2; m&lt;3
natita [175]

Answer:

A: m<1 = 79 degrees

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A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.

B: The sum of the measures of the interior angles in a triangle is 180 degrees.

Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.

Applying what we know from part A, 61 degrees+90 degrees = m<2.

And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.

3 0
3 years ago
-1/2x+2=-x+7 i need to know
ludmilkaskok [199]

=  \frac{ - 1}{ \:  \: 2} x + 2 = x + 7

=  \frac{ - 1}{ \:  \:  \: 2} x + 2 - x = 7

=  \frac{ - 3}{ \:  \:  \: 2}x  + 2 = 7

=  \frac{ - 3}{ \:  \ \:  2}x = 7 - 2

=  \frac{ - 3}{ \:  \: \:  2} x = 5

x = 5 \:  \div  \frac{ - 3}{ \:  \: \:  2}

x = 5 \times  \frac{ \:  \:  \: 2}{ - 3}

x =  \frac{ - 10}{ \:  \:  \: 3}

∴  \frac{ - 1}{ \:  \:  \: 2}  \times  \frac{ - 10}{ \:  \:  \: 3}  =  \frac{ - 10}{ \:  \:  \: 3}  + 7

6 0
3 years ago
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