C.
An angle bisector splits angles into halves thus resulting in PNQ. The total angle is however twice the PNQ so 4x + 2.
Hope this helps.
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob
Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
Jacob collected $115.50 more than Aiden.
The total amount of money they collected is
$360.50.
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
Consecutive off numbers are 2 apart
so if x is one then y=2+x
and their sum is 40 so x+y=40
the 2 equations are x+y=40 and y=x+2
if we substitute we get x+x+2=40 so x=19
and therefore y=2+19=21