Every triangle has a total of 180 degrees. If one angle measure is 100, then 180-100 is 80. This means that the other two angle measures have a total of 80. As angle j and k are equal, we divide 80 by 2, to get 40. This means that the measure of both angle j and k is 40 degrees. The measure of angle j is 40 degrees.
Answer:
A. Enlargement, 1.5
Step-by-step explanation:
Comparing the two triangles, it would be observed that ΔD'E'F' is larger than ΔDEF. This implies that ΔDEF has been multiplied by a scale factor.
To determine the scale factor used, consider the side DE and D'E' of the two triangles:
scale factor = 
= 
scale factor = 1.5
Therefore, ΔDEF was enlarged to ΔD'E'F' using a scale factor of 1.5. Then the correct option is A.
Add 1 3/5 and 3 1/8 = 4 6/40 and you simplify it to you can not
Answer:
z = 29°
Step-by-step explanation:
We know that the 3 angles in a triangle always add up to 180°. So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).
angle A + angle B + angle C = 180°
59° + 92° + z = 180°
151° + z = 180°
Subtract 151° from both sides of the equation
z = 180° -151°
z = 29°
