Answer:
x = 40
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the triangle on the left and calculate the third angle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 50)° = 180° - 125° = 55°
Consider the triangle on the right
The third angle = 55° ( vertical angles )
Subtract the sum of the 2 angles from 180
x = 180 - (55 + 85) = 180 - 140 = 40
Answer:
ax+16=b−3x
Step-by-step explanation:
Answer:
Values are switched, ratio should be 16/24
Step-by-step explanation:
The student's ratios are wrong because the values in the right side of the equality are switched, the proposed equality is:
To find the correct ratio, simply multiply the number of oranges and number of fluid ounces by 4. The correct equality should be:
The ratio should be 16/24
Answer:
Step-by-step explanation:
Dacă adaug un sfert de la jumătate de b și o treime de c, obțin 120.
Aceasta se exprimă ca:
1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1
Știind că jumătate din b este de 24 de ori mai mare decât un sfert de a
1 / 2b = (1/4 × a) 24
b / 2 = (a / 4) 24
b / 2 = 6a
Cross Multiply
b = 6a × 2
b = 12a
a = b / 12
Jumătate din b este de 4 ori mai mare decât o treime din c
1/2 × b = 4 × (1/3 × c)
b / 2 = 4 (c / 3)
b / 2 = 4c / 3
Cross Multiply
b = 2 × 4c / 3
b = 8c / 3
8c = 3b
c = 3b/8
1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1
Înlocuim
1/4 × b / 12 + 1 / 2b + 1/3 × 3b / 8= 120
b / 48 + b / 2 + b/8 = 120
Înmulțiți cu 48
b/48 × 48 + b/2 × 48 + b/8× 48 = 120 × 48
b + 24b + 6b = 5760
31b = 5760