Step-by-step explanation:
secants originating from the same point have the same relative length relationship :
outside part × sum of outside and inside parts
is the same for every secant from the same point.
so,
5×(7+5) = 6×(2x-8+6) = 12x - 12
60 = 12x - 12
12x = 72
x = 6
WV = 2x - 8 = 2×6 - 8 = 12 - 8 = 4
so, B is correct.
To find slope use the equation (y2 - y1) / (x2 - x1)
5 - 4 / 2--2
1/-4
The slope is -1/4
Hope this helps :)
Yes all equilateral triangles are congruent. You can prove congruence with two congruent angles and all equilateral triangles will have 60º angles. Which is enough to prove similarity
Answer:
SAS postulate
Step-by-step explanation:
In the figure attached, quadrilateral ABCD is shown.
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
AB is congruent to DC, and DB is the side common to triangles ABD and BCD. The included angle between sides AB and DB is angle ABD which is congruent with angle BDC, the angle included between sides DB and DC.
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem

Differentiate w.r.t time (t)


Divide both sides by 2

From the question, we have that the plan travels are 510mi/h.
This implies that:

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

Apply Pythagoras theorem






So, the expression becomes:








<em>Hence, the distance is 442 miles</em>