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stealth61 [152]
3 years ago
15

If triangle STU is congruent to triangle VWX, which statement is not true?

Mathematics
1 answer:
Svetach [21]3 years ago
4 0
If triangles are congruent then, their corresponding sides and angles should have the same measurement. From the given, STU is congruent to VWX, angle S, T, U should be congruent to angles V, W, and X, respectively. From the choices, the answer should be letter D. because U and V do not appear in the same order from both names. 
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Answer:

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A van starts off 191 miles directly north from the city of Morristown. It travels due east at a speed of 25 miles per hour. Afte
coldgirl [10]

Answer:

Distance between the van and Morristown is changing at the rate of 13.22 miles per hour.

Step-by-step explanation:

From the figure attached,

Van starts from C (City of Morristown), reaches the point A 191 miles due North and then it travels with a speed of 25 miles per hour due East from A towards B.

We have to calculate the rate of change of distance BC, when the van reaches point B which is 119 miles away from A.

By Pythagoras theorem in the triangle ABC,

BC^{2}=AB^{2}+AC^{2}

Distance AC is constant equal to 191 mi.

By differentiating the equation with respect to time 't'

2BC.\frac{d(BC)}{dt}=0+2AB.\frac{d(AB)}{dt}

BC.\frac{d(BC)}{dt}=AB.\frac{d(AB)}{dt}

Since BC² = (119)²+ (191)²

BC = √50642 = 225.04 miles

From the differential equation,

(225.03).\frac{d(BC)}{dt}=119\times 25 [Since \frac{d(AB)}{dt}=25 miles per hour]

\frac{d(BC)}{dt}=13.22 miles per hour

Therefore, distance between the van and Morristown is changing at the rate of 13.22 miles per hour.

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3 years ago
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