Answer:
41°
Step-by-step explanation:
The angle addition theorem tells you ...
m∠MNR + m∠RNP = m∠MNP
Filling in the given values, you have ...
43° + m∠RNP = 84°
Subtract 43° from both sides of the equation to find the angle of interest:
m∠RNP = 84° - 43° = 41°
The measure of angle RNP is 41°.
Answer:
m=6
Step-by-step explanation:
For this figure to be a parallelogram, the sides must be the same length
4m+2 = 3m+8
Subtract 3m from each side
4m+2-3m = 3m+8-3m
m+2 =8
Subtract 2 from each side
m+2-2 =8-2
m=6
Answer:
D. 30x + 120 ≤ 250
Step-by-step explanation:
Since we know that he bought one pair of shoes for $120 you would subtract 250-120=130 though you cant divide 130 into 30 so you would use ≤ so your answer is 30x + 120 ≤ 250
x= how many shirts he buys.
Answer:
12.
m∠ACB = 180° - 58° - 78° = 44°
m∠DCE = 180° - 85° - 60° = 35°
m∠BCD = 180° - 44° - 35° = 101°
13.
Base on the picture, we know that:
x° + 2x° + 3x° = 180°
6x° = 180°
x° = 180° ÷ 6 = 30°
=> m∠K = 2x° = 2 × 30° = 60°
=> m∠L = 3x° = 3 × 30° = 90°
=> m∠KML = x° = 30°
m∠LMN = 60° + 90° = 150°
11*11=121
14*14=196
14-11=3
121+196=317
The integers are 11 and 14