Answer:
x = 31 and x = 15
Step-by-step explanation:
(a)
(3x + 31) and (2x - 6) are a linear pair and sum to 180° , then
3x + 31 + 2x - 6 = 180
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
(b)
3x and (4x - 15) form a right angle and sum to 90° , then
3x + 4x - 15 = 90
7x - 15 = 90 ( add 15 to both sides )
7x = 105 ( divide both sides by 7 )
x = 15
Answer:
20/3
Step-by-step explanation:
5/3 x 4/3
5x4=20
keep the denominator
20/3
Cos60 degrees=1/2, so AK/AB=1/2. Since AK=KD, AK=1/2AD=1/2AB. Therefore, AB=AD. This is a rhombus, with four equal sides. Triangle ABK is congruent to triangle DBK (SAS), since AK=KD, angle AKB=angle BKD=90, and BK=BK. Therefore, BD=AB. The sum of four side lengths is 24. Each side length is equal to 24/4=6. BD=6.
Answer:
21
Step-by-step explanation:
sum of all numbers is 10×14=140
add the 6no=107
sum of3 no is 3×4=12
107+12=119
140-119=21
m=21
Answer: 
Step-by-step explanation: