Answer:
6root2
Step-by-step explanation:
3-1,5-1. (2,4)
R=root(4+16). =6root 2
Answer:
X1 = 2 X= -
Step-by-step explanation:
You must pass the 3 a to the other side in negative and use the quadratic formula
Answer:
18 8/9 pots
Step-by-step explanation:
Total potting soil = 5 2/3 liters
Potting soil per pot = 3/10 liters
How many pots can Yao Xin fill?
Number of pots Yao Xin can fill = Total potting soil / Potting soil per pot
= 5 2/3 liters ÷ 3/10 liters
= 17/3 ÷ 3/10
= 17/3 × 10/3
= (17*10) / (3*3)
= 170/9
= 18 8/9
Number of pots Yao Xin can fill = 18 8/9 pots
ABCSolve for x
x + 30 + 2x - 4 + 4x = 180 All triangles have 180°. collect like terms.
7x + 26 = 180 subtract 26 to both sides.
7x = 154 Divide by 7
x = 154/7
x = 22
A = x + 30 = 22 + 30 = 52
B = 2x - 4 = 2(22) + 30 = 44 - 4 = 40
C = 4x = 4*22 = 88
Check<A + <B + <C = 180
<52 + <40 + <88 = 180°
180 = 180
It checks and we are done with this triangle.
A'B'C'
2x + 8 + x + 18 + 5x - 22 = 180 Collect the like terms.
8x + 4 = 180 Subtract 4 from both sides.
8x = 180 - 4
8x = 176 Divide by 8
x = 176 / 8
x = 22
A' = 2x + 8
A' = 2(22) + 8 = 44 + 8 = 52
B' = x + 18 = 22 + 18 = 40
C' = 5x - 22 = 5*22 - 22 = 110 - 22 = 88
ConclusionA = A'
B = B'
C = C'
All three angles of one triangle are equal to all three angles of the other. So by AA the two triangles are similar.
CommentNote: the dilation of 12 has nothing to do with this answer. If you were asked about similarity of sides then the 12 would be something to do with the problem.
