By using the corresponding angles theorem we can see that (6x - 5)° and (x - 25)° are supplementary angles, so they add up to 180°.
This means that:
(6x - 5) + (x - 25) = 180
7x - 30 = 180
7x = 210
x = 30
If you want to find the exact values of the angles, just plug x = 30 into the angle values! :)
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each.
The expression that gives the total cost of the bouquets that Penny buys will be:
= (3 × $3) + (4 × $2)
Solving further will be:
= (3 × $3) + (4 × $2)
= $9 + $8
= $17
Answer:
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Step-by-step explanation:
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Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
<em>To solve these questions, we do the following:</em>
<em>Whatever is being applied to a part of the ratio must be done on the other part</em>
<em></em>
Solving (9):

Multiply through by 2

Multiply through by 3

Multiply through by 5

<em>Hence, the equivalents are: </em>
<em></em>
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2


Multiply by 3


Multiply by 4


<em>Hence, the equivalents are: </em><em>3 to 7, 4.5 to 10.5 and 6 to 14</em>
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5


Multiply by 2


Multiply by 4


<em>Hence, the equivalents are: </em><em>1.25 to 0.25, 12.5 to 2.5 and 25 to 5</em>
Solving (12):

Multiply by 2


Multiply by 4


Multiply by 6


<em>Hence, the equivalents are: 6:7, 12:14 and 18:21</em>
Solving (13)

Convert mixed fraction to improper fraction

Multiply by 2


Multiply by 3


Multiply by 12


Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15