Answer:
The length of DE is 14 cm.
Step-by-step explanation:
Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.
Given lengths are AC=20cm, AB=17cm, and BD=11.9cm
In ΔBDE and ΔBAC
∠BDE=∠BAC (∵Corresponding angles)
∠BED=∠BCA (∵Corresponding angles)
By AA similarity rule, ΔBDE~ΔBAC
∴their corresponding sides are in proportion
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When it is in motion the force is unbalanced. When it stops the forces are balanced.
Answer:
It will take Jade (2x + 5) minutes
Step-by-step explanation:
Let us find the expression that represents the time Jade will take
∵ Binh takes x minutes to ride to his friend’s house
∴ The time Binh takes = x minutes
∵ 5 more means + 5
∵ Twice means × 2
∵ Jade takes 5 minutes more than twice as long as Binh to ride to their
friend’s house
→ Multiply the time Binh takes by 2 and add the product by 5
∵ Binh takes x minutes
∴ The time Jade takes = 2 × x + 5
∴ The time Jade takes = 2x + 5 minutes
∴ It will take Jade (2x + 5) minutes
Answer:
(x + 4) (x - 9)
Step-by-step explanation:
Factor the following:
x^2 - 5 x - 36
The factors of -36 that sum to -5 are 4 and -9. So, x^2 - 5 x - 36 = (x + 4) (x - 9):
Answer: (x + 4) (x - 9)
