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dem82 [27]
4 years ago
14

Ralph has budgeted $175 for entertainment. He uses this money to go out on dates for $35 or to go out with his friends for $15.

Which budget line equation represents the situation?
A. 35x-15y=180
B. 35x+15y=180
C. (3x+5y)=180
D. 180-(35x+15y)
Mathematics
1 answer:
Stolb23 [73]4 years ago
8 0
Assuming that Ralph budgeted $180 instead of $175 entertainment. He spent $35 per date and let "x" be the number of dates he attended. He spent $15 to go out with friends and let "y" the number of times that he go out with friends.

The correct expression is the "B" which is 35x + 15y =180.
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Step-by-step explanation:

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ella [17]

Answer:

m∠Q = 61°

m∠S = 61°

m∠R = 58°

Step-by-step explanation:

Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.

Step 1: Definition of isosceles triangle

2x + 41 = 3x + 31

41 = x + 31

x = 10

Step 2: Find m∠Q

m∠Q = 2(10) + 41

m∠Q = 20 + 41

m∠Q = 61°

Step 3: Find m∠S

Since m∠Q = m∠S,

m∠S = 61°

Step 4: Find m∠R (Definition of a triangle)

Sum of angles in a triangle adds up to 180°

m∠R = 180 - (61 + 61)

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4 0
3 years ago
If mZDEC = (12x - 3), mZBCE =
kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

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m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57°  exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0
3 years ago
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sashaice [31]
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