Answer:
Rotate Figure L 135 degrees counterclockwise around the point of intersection of the arms. Reflect across the right arm
Step-by-step explanation:
Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.
Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.
∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)
Transposing 2/3 to right-hand-side and changing the sign to negative,
(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)
Or, (p/q)(5/2) = -(8+7)/12 = - 15/12
Multiplying both sides by 2/5,
(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5
Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain
(p/q).1 = -1/4 . 2/1 = -1/2
⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .
∴ the rational number = -1/2
We want to solve

Subtract 2/(2x+1) from each side.

Add 1/4 to each side, and simplify the left side.

Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1
Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.
Answer:
A) The age of Theresa is 10 years 6 months old
B) Jonathan age is 24 years and 6 months old
<u>Solution:</u>
Given, Theresa is 14 years younger than her brother Jonathan.
Let the age of Theresa be "n" years
Then the age of Jonathan will be "n + 14" years
Together, their total age in years is 35
<em><u>A) Finding age of Theresa:</u></em>
Jonathan age + Theresa age = 35
n + 14 + n = 35
2n + 14 = 35
2n = 35 - 14
2n = 21
n = 10.5
So, age of Theresa is 10 years 6 months
<em><u>B) Finding age of Jonathan</u></em>
Now, we know that n = 10.5
Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years
So, Jonathan is 24 years and 6 months old