Answer:
32 miles
Step-by-step explanation:
Given data
Let the total distance be x miles
Marks speed= 16miles per hour
Trisha's speed= 12 miles per hour
Trisha has covered 8 miles and has (x-8) miles to finish line
We know that
Speed= distance/time
time= distance/speed
Hence the time taken for Mark to finish is
time= x/16---------------1
The time taken for Trisha to finish is
time= (x-8)/12-----------2
equate 1 and 2 above
x/16= (x-8)/12
cross multiply
16(x-8)= 12*x
16x-128= 12x
collect like terms
16x-12x= 128
4x=128
x= 128/4
x= 32 miles
Hence they will meet at exactly 32 miles along the way
Answer:
D angle 6
Step-by-step explanation:
Corresponding angles are in the same place if the line were on top of each other. For example, ang1e 1 and angle 5, are corresponding; angle 3 and angle 7 are corresponding.
Answer:
Step-by-step explanation:
Answer: " y = 30° " .
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<u>Note</u>: The sum total of the measure of all angles lying on a straight
line is 180°.
So; x + y + z = 180 .
Given: x = 2y ;
z = 3y ;
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Find the value of: " y " ;
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Since: x + y + z = 180 ;
Substitute: "2y" for "x" ;
and: "3y" for "z" ;
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2y + y + 3y = 180 ;
6y = 180 ;
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Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
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6y/ 6 = 180 / 6 ;
y = 30 ;
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Let us check our work;
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2y + y + 3y = 180 ;
Substitute our solved value: "30" ; for "y" ; in the equation; to see if the equation holds true:
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2(30) + 30 + 3(30) =? 180 ?
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60 + 30 + 90 = ? 180 ?
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90 + 90 = ? 180 ? Yes!
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