Answer:

Step-by-step explanation:
Using the law if indices
×
= 
Thus to simplify the expression add the 3 exponents
a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis
= ab + ac + bc - ab + ac - bc ← collect like terms
= 2ac
Then the expression simplifies to

Answer
jermy
Step-by-step explanation:
Answer:
The value of x in centimeters is 22.5 cm
Step-by-step explanation:
The corresponding sides of the similar triangles are proportion which means have equal ratios
∵ Δ ABC is similar to Δ FGH
∵ AB and FG are corresponding sides
∵ BC and GH are corresponding sides
∵ AC and FH are corresponding sides
→ That means the ratios between them are equal
∴
=
= 
∵ AB = 6 cm and FG = 15 cm
∵ BC = 5 cm and GH = 12.5 cm
∵ AC = 9 cm and FH = x
→ Substitute them in the rule above to find x
∴
=
= 
→ By using cross multiplication with the 1st and 3rd ratios
∵ 6 × x = 15 × 9
∴ 6x = 135
→ Divide both sides by 6 to find x
∵
= 
∴ x = 22.5 cm
∴ The value of x in centimeters is 22.5 cm
First find the unit rate. Do 17.5/2.5 and you get 7. Next just multiply that by 10 and voila. It takes her 70 minutes to run the whole race.
Answer:
602
Step-by-step explanation:
First find area of the rectangle portion
L x W
22 x 15
330
Second find area of trapezoid
B1+B2/2 times height
12+22/2 times 16
34/2 times 16
17 times 16
272
Lastly, add areas together