Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°
5 because 25 divided by 5 is 5
Answer:
3⅜ in²
Step-by-step explanation:
2 ¼ in × 1 ½ in
9/8 × 3/2
27/8 in²
3 ⅜ in²
Answer:
80
Step-by-step explanation:
We have, 75% × x = 60
or,
75/ 100 × x = 60
Multiplying both sides by 100 and dividing both sides by 75,
we have x = 60 × 100/75
x = 80