Answer:
m<OPQ + (x+16)° + (6x - 4)° = 360°
Step-by-step explanation:
the sum of interior angles of a polygon with 4 sides is 360
therefore you sum up all of the figures and equate to 360
Answer:
162 ft^2
Step-by-step explanation:
18 * 18 = 324
324/2 = 162
The area of the patio is 162 square feet
Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
17 ½ % of 240
First option
Change the fraction ½
to a decimal. It would be 0.5 ( 1 divided by 2)
½=0.5
You will add the whole number 17 to the result.
17 + 05 = 17.5
Now you will divide by 100 (percent)
17.5 /100 To divide a
decimal by 100, move the decimal point two
places to the left.
17.5 /100 = 0.175 times 240
0.175 x 240 = 42
Second option
Change the percent to an improper fraction
17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35
over 2 ( keep the denominator). It will be 35/2. Put the other number (240) over 100 and
multiply.
35/2 x 240/100 = 42
There is another way . You can simplify
Cancel all the zeros that you have and start to reduce.
6
7 12
35 x 24<span> 0 </span> = 42
2 10
0
1 5
1
17 ½ % of 240 = 42
Answer:
The two page numbers are 78 and 79.
Step-by-step explanation:
Let's take the page numbers are x and x + 1
.
The produce of the page numbers is 6162
so, x(x + 1) = 6162
Here we have to use the quadratic formula to solve for x.
The quadratic formula, x = 
Here a =1, b = 1 and c = -6162
Plugging in the value of a, b and c in the above formula, we get
x = [-1 ± 157] ÷ 2
Let's take the positive value alone since the page number cannot be negative.
x = [-1 + 157]
÷2
x = 78
The next page number x + 1 = 78 + 1 = 79
Therefore, the two page numbers are 78 and 79.
