Answer:
Her monthly income=$1,082
Step-by-step explanation:
Step 1: Express the total monthly pay:
The total monthly pay can be expressed as follows;
A=F+(R×T)
where;
A=the total monthly income
F=fixed income per month
R=commission rate
T=total monthly sales
In our case;
F=$650 a week
R=6%=6/100=0.06
T=$7200
replacing;
A=650+(6% of 7,200)
A=650+(0.06×7,200)
A=650+432=1,082
A=$1,082
Her monthly income=$1,082
The equation is
F (x)=100+59x
Where
F amount of money she will have ?
X number of weeks in a year 52 weeks
F (52)=100+59×52
F (52)=3,168
Hope it helps!
Answer: See step by step
Step-by-step explanation: For A my 15 statements are.
- It has 3 triangles inside it, ACD, ADC, and ABC
- It has 2 right triangles, and 1 isoceles
- AC≅AB
- CD≅DB
- D is midpoint of CB
- AD⊥CB
- Angle CDA=90 degrees
- Angle BDA equal 90 degrees
- AD≅AD
- ΔCDA≅ΔBDA by any congruence theorem, (SSS, SSA,AAS,ASA, HL)
-
+
=
12.
+
= 
13. Triangle ABC has a max of 180 degrees.
14. We can rotate this triangle 180 degrees and it will coincide.
15. We can reflect triangle ACD over vertical line ACD and it will be congruent to ABD.
2. We use pythagorean theorem since it has a right angle.
+
=
Let plug it in.
+
=
1600+ b^2=2025
b^2=424
sqr root of 425 is about 21. Now let find the perimeter.
AB is 45, Since BD+DC=CB, and they are congruent they are equal so 21+21=42 and AC is congruent to AB so it is 45. So the perimeter is 132.
For 3. Start at the orgin, then go up 5 on the y-axis so you should be at (0,5)
Then use the rise over run method to graph it. go left -3 and and up 1. Keep doing that 2 more times then draw a straight line.
Your 3 point should be
(0,5)
(1,2)
(2,1)
Answer:
(- 5, - 7 )
Step-by-step explanation:
Equate f(x) and g(x), that is
2x + 3 = - 4x - 27 ( add 4x to both sides )
6x + 3 = - 27 ( subtract 3 from both sides )
6x = - 30 ( divide both sides by 6 )
x = - 5
Substitute x = - 5 into either of the 2 functions for y- coordinate
Substituting into f(x)
f(- 5) = 2(- 5) + 3 = - 10 + 3 = - 7
Thus point of intersection = (- 5, - 7 )