Number three is D and number 4 is also D.
Explanation for number three:
When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40
Explanation for number 4:
In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.
It's not possible nothing but 1 times 5 is the only thing that multiplies to 5 and 1+5 doesn't equal 4
Answer:
Both answers will give an area of 2400 ft2
but with x=60 we have lawn dimensions -60 ft by -40 ft so this is out
x = 10 ft width for the sidewalk
Check: New lawn dimensions
(80-2x)(60-2x) = 60(40) = 2400 ft^2
Step-by-step explanation:
Draw a diagram:
We have a rectangle inside a rectangle.
The larger outside rectangle is the original lawn: 80ft by 60 ft with area 4800 ft2
The smaller inside rectangle is (80-2x)by(60-2x) where x is width of the new sidewalk.
Area of new lawn is 2400 ft^2
(80-2x)(60-2x) = 2400
4800 - 160x - 120x + 4x2 = 2400
4x2 - 280x + 2400 = 0
Factor out a 4
x2 - 70x + 600 = 0
(x-60)(x-10) = 0
x = 60 ft or x = 10 ft
Answer:
6
Step-by-step explanation:
By inscribed angle theorem
![(15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6](https://tex.z-dn.net/?f=%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B360%5Cdegree-%2891%2B135%29%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B360%5Cdegree-226%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B134%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%2067%5Cdegree%5C%5C15x-23%20%3D%2067%5C%5C15x%20%3D%2067%2B23%5C%5C15x%20%3D%2090%5C%5Cx%3D%20%5Cfrac%7B90%7D%7B15%7D%5C%5Cx%3D6)
