Ten more than half of a number is eight less than twice the number. What is the number?
1 answer:
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The distance between two points (x₁,y1),(x₂,y₂) is d
For the given problem we have
<span>W(1,8),X(7,8),Y(4,5), and Z(1,2)
The length of WY = </span>
= 3√2
The length of WX =
= 6
The length of WZ =
= 6
The length of XY = <span><span>
= 3√2
</span>The length of ZY = </span><span>
= 3√2
∴ WX = WZ ⇒⇒⇒ proved
XY = ZY ⇒⇒⇒ proved
WY = WY ⇒⇒⇒ reflexive property
∴ Δ</span><span>WYZ is congruent to ΔWYX by SSS method</span>
For the given problem we have
<span>W(1,8),X(7,8),Y(4,5), and Z(1,2)
The length of WY = </span>
The length of WX =
The length of WZ =
The length of XY = <span><span>
</span>The length of ZY = </span><span>
∴ WX = WZ ⇒⇒⇒ proved
XY = ZY ⇒⇒⇒ proved
WY = WY ⇒⇒⇒ reflexive property
∴ Δ</span><span>WYZ is congruent to ΔWYX by SSS method</span>