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k0ka [10]
3 years ago
6

John’s age is 2 years more than twice Mary’s age, and the sum of their ages is 32 years. How old is each.

Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

John is 22; Mary is 10

Step-by-step explanation:

mary=m

john=2+2m

equation john + mary = 32

(2+2m) + m =32

3m+2 =32

3m=30

m=10

2m+2=?

2(10)+2=22

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In 2013, the Centers for Disease Control and Prevention surveyed 450,000 adults ages 18 and older and found that 79% of them do
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Graded Assignment Unit Test, Part 2: Basic Geometric Shapes Answer the questions below. When you are finished, submit this assig
AfilCa [17]

Answer:

In case (a) car makes 105° turn.

In case (b) car makes 75° turn.

In case (c) car makes 105° turn.

Step-by-step explanation:

Figure is redrawn To explain properly (in attachment)

Given : streets are parallel means \overline{AB} ║ \overline{CD},

             AB - 4th street , CD - 3rd street and XY - King Ave.

            ∠XLA = 75°

To find : (a) ∠XLB

              (b) ∠LMD (left onto 3rd streat means left of car)

              (c) ∠YMD (right means right side of car)

∠XLB + ∠XLA = 180° (Linear Pair = 2 adjacent angles are  

                                     supplementary)

∠XLB + 75° = 180°

∠XLB  = 180 - 75

∠XLB = 105°

∴ In case (a) car makes 105° turn.

∠LMD = ∠XLA = 75° (Corresponding angles of parallel lines are equal)

∠LMD = 75°

∴ In case (b) car makes 75° turn.

∠YMD + ∠LMD = 180° (Linear Pair = 2 adjacent angles are

                                       supplementary)

∠YMD + 75° = 180°

∠YMD = 180 - 75

∠YMD = 105°

∴In case (c) car makes 105° turn.

8 0
3 years ago
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