Answer:
B 6,17
Step-by-step explanation: If you plug in the value of x from each of the choices only b gives the correct value of y. If you put 6 in the place of x in y= 3x-1 then y= 18-1 which is 17, and it does say 17 in 6,17.
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
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Answer:
10.3
Step-by-step explanation:
The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.
The angle at T is ...
180° - 119° -36° = 25°
The law of sines tells us side s will be ...
s/sin(S) = t/sin(T)
s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)
s ≈ 10.34763
s ≈ 10.3
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<em>Additional comment</em>
u/sinU = t/sin(T)
u = sin(36°)×5/sin(25°) ≈ 6.95409
Answer:
C) x = 9
Step-by-step explanation:
When two segments intersect in a circle like so, the product of the two parts of one segment will be equal to the product of the two parts of the other segment.
So,<em> 3 * 6 = x * 2</em>
Multiply: 18 = x * 2
Divide: x = 9
The proportion equal to a/b = c/d is A.) A/C = B/D
We will know if a proportion is equivalent when its cross products are equal.
a/b = c/d where ad = bc
since ad = bc, a/c = b/d
