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Have agreat day
Solve the system using elimination. 5x + 8y = –29 7x – 2y = –67
1 answer:
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Answer:
15 years , 12 years , 8 years.
Step-by-step explanation:
Given:
John is 3 years older than Jim.
Jim is 4 years less than twice David’s age.
Ages of three boys add up to 35.
Question asked:
How old are the three boys?
Solution:
Let age of David =
Let age of Jim =
Then age of John will be =
As Jim is 4 years less than twice David’s age
Equation will be ,
Multiplying both side by 2
= (let equation 1 )
As ages of three boys add up to 35.
Equation will be,
=
Subtracting both side by 3
=
= (let equation 2 )
subtracting equation 1 and 2,we get
=
=
=
=
dividing both side by 5
(David ages)
Then ( age of Jim)
=
=
Then age of John will be,
=
Thus, age of John = 15 years
Age of Jim = 12 years
Age of David = 8 years
Answer:
As given, measure of angle 4 is 70°
Then what would be the measure of ∠8.
Following cases comes into consideration
1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then
∠4 + ∠8=180°
⇒70°+∠8=180° [∠4=70°]
⇒∠8=180°-70°
⇒∠8=110°
<u>2nd possibility</u>
But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then
⇒ ∠4 + ∠8=180°
⇒70°+∠8=180° [∠4=70°]
⇒∠8=180°-70°
⇒∠8=110°
<u>3rd possibility</u>
If ∠4 and ∠8 are alternate exterior angles.
then, ∠4 = ∠8=70°
<u>4th possibility</u>
If If ∠4 and ∠8 are corresponding angles.
then, ∠4 = ∠8=70°
Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.
