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Musya8 [376]
3 years ago
7

Please help me with this answer

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0

Answer:

x=3 y=5

Step-by-step explanation:

for the linrd to become parallel 45x minus 5 and 16x +2 they are the same side interior angles 45x-5+16x+2 is 180 so 61x minus 3 that would equal 180 then u add number 3 to both equaling 180. 61x =183 divide both sides by number 61 that means x equals 3

45x- and 26 y they are both congruent and corresponding angles. 26y what's 45 * 3 -5 equals 130 divide both sides by 26 and then you would get y equals 5 I hope this helps

harina [27]3 years ago
3 0

Answer:

x = 3, y = 5

Step-by-step explanation:

For the lines to be parallel, then

45x - 5 and 16x + 2 are same side interior angles and are supplementary, thus

45x - 5 + 16x + 2 = 180, that is

61x - 3 = 180 ( add 3 to both sides )

61x = 183 ( divide both sides by 61 )

x = 3

45x - 5 and 26y are corresponding angles and are congruent, thus

26y = (45 × 3) - 5 = 135 - 5 = 130 ( divide both sides by 26 )

y = 5

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PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonie
Anna [14]

Answer:

The florist can make 11 regular bouquets and 21 mini bouquets

Step-by-step explanation:

The number of roses the florist has = 118 roses

The number of peonies the florist has = 226 peonies

The number of roses in each regular bouquet = 5 roses

The number of peonies in each regular bouquet = 11 peonies

The number of roses in each mini bouquet = 3 roses

The number of peonies in each mini bouquet = 5 peonies

1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;

Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;

5·r + 3·m = 118...(1)

2. Similarly, we have;

11·r + 5·m  = 226...(2)

Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;

m = (118 - 5·r)/3

m = (226 - 11·r)/5

(118 - 5·r)/3 = (226 - 11·r)/5

5 × (118 - 5·r) = 3 × (226 - 11·r)

590 - 25·r = 678 - 33·r

33·r - 25·r = 678 - 590 = 88

8·r = 88

r = 88/8 = 11

r = 11

The number of regular bouquet the florist can make = r = 11

m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21

m = 21

The number of mini bouquet the florist can make = m = 21

The number of regular bouquet the florist can make = 11 bouquets

The number of mini bouquet the florist can make = 21 bouquets.

3 0
3 years ago
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