The length of line segment OM is 34 cm.
<u>Step-by-step explanation</u>:
- The diagonals of a parallelogram bisect each other (cuts equally into two halves).
- The line segment OM is a diagonal with an intersection point Q.
- The line segment OQ is equal in length as the line segment QM.
Step 1 :
⇒ length of OQ = length of QM
⇒ 2x + 3 = 3x -4
⇒ 3x-2x =4+3
⇒ x = 7
Step 2 :
Subsitute x = 7 in OQ and QM
⇒ length of OQ = 2x+3
⇒ 2(7) + 3 = 17 cm
⇒ length of QM = 3x-4
⇒ 3(7) - 4 = 17 cm
∴ Length of OM = length of OQ + length of QM
⇒ OM = 17+17 = 34 cm
First, find the missing leg of ΔBCD (line BD). Using the Pythagorean Theorem, subtract (5^2)-(3^2) [25-9], and you get 16. Find the square root of 16, and you get <em>4</em> for line BD. Now, you can find AB. Add (7^2)+(4^2) [49+16], and you get 65. Now, since 65 isn't a perfect root, just use √(65)
Answer: Line AB equals √(65).
Answer:
k - 3
Step-by-step explanation:
In this expression, only 8k and 7k can be subtracted. This is because they have the same variable, meaning they are "like terms".
8k - 7k - 3 = 1k - 3
Answer: b > 16
Step-by-step explanation:
Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.
8.5 minutes per mile is equivalent to
17 minutes
----------------
2 miles
and the reciprocal of that is
2 miles
-----------
17 min
Now multiply 26.2 miles by
17 min (17 min)* (26.2 mi)
------------ , obtaining ---------------------------
2 miles 2 mi
This simplifies to (17)(26.2)/2 minutes = 222.7 minutes,
or
222.7 minutes 1 hr
-------------------- * ------------ = 3.7 hours
1 60 min
