Answer:
The two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
Step-by-step explanation:
Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.
Here, as we can ΔABC goes under Rigid Transformation in to the ΔA'B'C'
⇒Sides AB, BC and AC correspond to the sides A'B',B'C' and A'C' respectively.
Also the ∠A, ∠B and∠C correspond to ∠A', ∠B' and∠C' respectively.
Now, in ΔABC and ΔA'B'C
AB = A'B'
BC = B' C'
AC = A'C'
⇒The two given triangles are congruent by SIDE SIDE SIDE property.
Also, ∠A = ∠A'
∠B = ∠B'
⇒The two given triangles are congruent by ANGLE ANGLE property.
Hence the two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
Answer:
271.5
Step-by-step explanation:
100-55=45
45% of 187
187*45=8415
8415/100=84.15
84.15 is 45% of 187
271.15
Answer:
95
Step-by-step explanation:
![x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95](https://tex.z-dn.net/?f=x%20%5Cdegree%20%3D%2095%20%5Cdegree%20%5C%5C%28vertical%20%5C%3A%20angles%29%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2095)
To write in slope intercept form solve the equation for y:
4x + 3y =15
Subtract 4x from both sides:
3y = -4x +15
Now get Y by itself by divide all terms by 3:
y = -4/3x + 5
Answer:
9.6
Step-by-step explanation:
This is a four side figure which is most likely to be a trapezium.So AD is the hypotenuse,AB is side (a),BC is the height and CD is side (b).