If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?
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Answer:
6 baskets did Kiran score on Thursday
Step-by-step explanation:
As per the statement:
Kiran scored 36 baskets in 1 week.
On weekend she scored = baskets.
She scored 1/4 of them on Tuesday
⇒On Tuesday she scored = baskets
She scored 1/12 of them on Wednesday
⇒On Wednesday she scored = baskets.
Then;
She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.
Rest on Thursday she scored = 36 - 30 = 6 baskets.
Therefore, 6 baskets did Kiran score on Thursday
Given : In Right triangle ABC, AC=6 cm, BC=8 cm.Point M and N belong to AB so that AM:MN:NB=1:2.5:1.5.
To find : Area (ΔMNC)
Solution: In Δ ABC, right angled at C,
AC= 6 cm, BC= 8 cm
Using pythagoras theorem
AB² =AC²+ BC²
=6²+8²
= 36 + 64
→AB² =100
→AB² =10²
→AB =10
Also, AM:MN:NB=1:2.5:1.5
Then AM, MN, NB are k, 2.5 k, 1.5 k.
→2.5 k + k+1.5 k= 10
→ 5 k =10
Dividing both sides by 2, we get
→ k =2
MN=2.5×2=5 cm, NB=1.5×2=3 cm, AM=2 cm
As Δ ACB and ΔMNC are similar by SAS.
So when triangles are similar , their sides are proportional and ratio of their areas is equal to square of their corresponding sides.
But Area (ΔACB)=1/2×6×8= 24 cm²[ACB is a right angled triangle]
→ Area(ΔMNC)=24÷4
→Area(ΔMNC)=6 cm²
