Answer:x= 45°
Step-by-step explanation:
The value of angle LKN is 75°becausw the theorem vertically oposite angles
Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°
The value of x is also 45° because of vertically oposite angles theorem
The width of border is 1.5 feet
<h3><u>
Solution:</u></h3>
Given that small garden measures 9 ft by 13 ft
A uniform border around the garden increases the total area to 192 ft square
To find: width of border
Let the width of border be "x"
Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet
The total area of garden = 192 square feet
<em><u>Let us solve the above equation by quadratic formula</u></em>
Using the above formula,
For , we have a = 4 ; b = 44 ; c = -75
Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,
Since "x" cannot be negative,
we get x = 1.5
Thus width of border is 1.5 feet
Answer: 11/3 or 3 2/3
Step-by-step explanation:
Simple to do this as the 11 and 15 can be simplified as 1 goes in 11... 11 times and 5 goes into 15... 3 times. Thus 11/3.
3-1(4)(6)2-3
=3-(1)(24)(2)-3
=3(24)(2)-3
=3-48-3
=-45-3
=-48
-48 is the answer. Hoped this helped
To answer the question above, we let x be the number of the roses Charles did cut from the garden. After giving out 10 roses, he only had x - 10 roses left. Giving away half of what was left will leave him with 14 roses after. The equation that best represent the given is,
14 = x - 10 - (x - 10)/2
The value of x from the equation is 38.