According to the given descriptions to create a figure of lines, the answer is transitive property. Transitive property relates two angles that are separately proven by different theorems and making a statement that connects or relates the congruence of two angles or even two sides.
Answer:
x = 3.5
Step-by-step explanation:
(x^2 +2x +1) -(x^2 -6x +9) = 20
.. 8x -8 = 20
.. x = 28/8 = 3.5
Answer:
Bailey made a total of $145 on Thursday
Step-by-step explanation:
Step 1
Derive an expression for Bailey's total income on Thursday as follows;
A=F+(R×S)
where;
A=total income earned
F=fixed income per day
R=commission rate
S=total sales
In our case;
A=unknown
F=$90 per day
R=11%=11/100=0.11
S=$500
Step 2
Substitute the values and solve;
A=90+(11% of $500)
A=90+(0.11×500)
A=90+55=145
A=$145
Bailey made a total of $145 on Thursday
Answer:
infinite number of solutions are possible
Step-by-step explanation:
The formula for the volume of a pyramid is (1/3)(base)(height). Since this pyramid is square, the area of the base is s^2, where s represents the length of one side of the base.
Thus, 144 in^3 = (1/3)(s^2)(h), where h is the height of the pyramid.
Let's solve for the constraints on the side length s and the height h:
Multiplying 144 in^3 = (1/3)(s^2)(h) by 3 to clear out the fractions:
432 in^3 = (s^2)(h)
There are multiple answers tot his question. Let's arbirtrarily state that the height is 10 inches. Then 432 in^3 = 10s^2 in^2, and s^2 = 43.2 (in^2).
With height 10 inches, the side length of the square bottom would be the square root of 43.2 in^2: 6.57 in.
Thus, one of many solutions would be as follows:
side length of square base: 6.57 in
height of pyramid: 10 in
The answer to this problem is b= -2