9514 1404 393
Answer:
5.5
Step-by-step explanation:
On the left, the lower segment (7) is half the length of the one above it (14). The same proportion will hold on the right.
x = 11/2 = 5.5
Answer:
, 
, 
, 
, 
Step-by-step explanation:
First question:
He starts with 18, gains 2 every week, and needs 42. This means the equation is .
Second question:
He starts with 2, gains 18 every week, and needs 42. This means the equation is .
Third question:
It starts with 42, loses 2 every day, and needs 18. This means the equation is .
Fourth question:
Each friend has a total bill of 18+x, there are 2 friends, and they need 42. This means the equation is .
The only answer left is , so that's the answer to the fifth problem.
Answer:
Hence, ∠ABP=10°
Step-by-step explanation:
We are given that:
AB and CD are tangents of the circle.
Now we are given that m∠ACP=10°.
Also we are given that AP and CP are radius of the given circle that means length of AP and CP are equal.
Also we know that angle opposite to the equal sides are equal that means:
∠ACP=∠PAC.
Hence , ∠PAC=10°.
Also in a triangle the sum of all the angles is 180°.
i.e. ∠ACP+∠PAC+∠APC=180°
this means that 10+10+∠APC=180°
∠APC=180-20
∠APC=180-20=160°
As AB and CD are tangents to the circles that means:
∠BAP=∠BCP=90°
Also APCB is a quadrilateral and we know that sum of all the angles of a quadrilateral=360°
Hence,
∠BAP+∠BCP+∠APC+∠ABC=360°
⇒ 90+90+160+∠ABC=360
⇒ 180+160+∠ABC=360
⇒ 340+∠ABC=360
⇒ ∠ABC=360-340=20°
also ∠ABP=(1/2)∠ABC
Hence, ∠ABP=(1/2)×20°=10°
Hence, ∠ABP=10°
Based on the given sequence of numbers above, the best definition of it would be a geometric sequence. It is a geometric sequence because term of the sequence of numbers after the first is found by multiplying the previous one by a fixed, non-zero number, and the sequence shows a common ratio.
