Answer:
Option (2) is correct.
Based on the drawing, SAS can be used to prove PQR ≅ STV
Step-by-step explanation:
We have to find the criterion by which the two given triangle can be prove similar from the given options.
Consider, the given triangles from the drawing given
ΔPQR and ΔSTV,
PR = VS (Given)
∠QRP = ∠TVS ( Given)
and, QR = TV (given)
Thus, PQR ≅ STV ( SAS CRITERION)
For SAS criterion , we need to show that two sides and the angle between those sides are equal .
Thus, option (2) is correct.
Answer:
y - 1 = - 4(x + 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 4 and (a, b) = (- 3, 1), thus
y - 1 = - 4(x - (- 3)), that is
y - 1 = - 4(x + 3)
Answer:
562.5 mph
Step-by-step explanation:
First, let's find how fast the car is going in miles per hour. We do this by dividing the miles by how many hours it took:
225/4 = 56.25
The car was going 56.25 mph
A high-speed train is ten times faster than this car so you multiply 56.25 by 10
(10)(56.25) = 562.5
The train's speed is 562.5 mph
<em>Hope this helps!</em>
<em>- Kay :)</em>
Let x and y be your two consecutive whole numbers
x < sqrt(142) < y
x^2 < 142 < y
So, we are looking for x and y such that x^2 < 142 and y^2 > 142.
The closest squared number to 142 is 144 = 12^2.
Next is 11^2 = 121.
11 and 12 are consecutive.
11^2 = 121 < 142 < 144 = 12^2
Thus, 11 and 12 are your numbers
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|x - 6.5| < 0.02 ft is the <span>absolute value inequality for the possible lengths of the pole.</span>
