A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question. Suppose a stu
1 answer:
You might be interested in
There are pi radians in 180 degrees. Therefore to convert degrees to radians we need to divide by 180 and multiply by pi, as follows:
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