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:
The simplified expression is 
Step-by-step explanation:
The given expression is:
Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:
Divide both the numerator and the denominator by 12b:
The expression finally becomes:
Answer:
The answer is in the explaination
Step-by-step explanation:
A + B = 180 degrees
14x - 72 = 180
14x = 108
x = 8
A = 5 times 8 plus 20
A = 60
So, first determine what half of the denominator or bottom number would be.
Half of 13 would be 6.5 (Do 13 divided by 2).
Next, see if the numerator or top number on the fraction is smaller, the same, or bigger than that number.
Since 6.5 is bigger than 6, the numerator would be smaller.
If it is smaller, keep the whole number (in this case 12) the same. If it is the same or equal, round up (in this case 13).
Since 6 is smaller than 6.5, you keep 12 the same.
Your answer would be 12.
Hope this helped!
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
