What is the value of x? enter your answer, as a decimal, in the box. ft triangle m n p with segment a b parallel to segment n p and a is between m and n and b is between m and p. m n equals 71.5 feet, a n equals 22 feet, m p equals 97.5 feet, and m b equals x?
2 answers:
Answer:
67.5 ft
Step-by-step explanation:
Answer: x = 67.5 ft Explanation: Following the statements you can draw the triangles mnp and mab. 1) Both are similar triangles with the common vertex m, and with these corresponding sides: - segment mn corresponding to ma - segment np corresponding np - segment mp corresponding mb 2) So, by side-angle-side theorem segment ma segment mb ------------------ = --------------------- segment mn segment mp 3) You know: - segment mn = 71.5 - segment ma = 71.5 - 22 = 49.5 - segment mb = x - segment mp = 97.5 4) Therefore: x 49.5 --------- = ---------- 97.5 71.5 5) Solve for x: x = 97.5 * 49.5 / 71.5 = 67.5 Answer: x = 67.5 ft.
You might be interested in
No, because one x-value corresponds to two different y-values
Answer:
the answer is
1. 11.33
2. 5.9
3. 8.1
9.015 that is the decimal form, 1803/200 is fraction form.
Answer:
The multiplication sentence is 4/9*3/8=1/6
then for the rectangular fraction model draw two rectangles and in the first one draw 9 boxes and shade in 4. Then, in the second one draw 8 boxes and shade 3.
Step-by-step explanation:
This is an example:
Answer: What are your options???????...