Answer:
B. 
Step-by-step explanation:
The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).
The mapping for reflection in the x-axis is

When we reflect triangle ABC in the x-axis, we obtain
A1(5,-2) B1(2,-4) and C1(2,-1).
The mapping for 90 degrees clockwise rotation about the origin is

When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;
A2(-2,-5) B2(-4,-2) and C2(-1,-2).
The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).
Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is

The correct choice is B.
Answer:
The measurement of angle L is given by the expression 180° – 130°. So, angle L measures 50°.
Step-by-step explanation:
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
Answer:
a.
converges to s> 1.
b.
converges to s> 5.
c.
converges to s> - 3.
d.
converges to s> 0.
e.
converges even s> 0.
f.
converges to s> 0.
g.
converges to s> 0.
h.
converges to s> 0.
Step-by-step explanation:
a.
converges to s> 1.
b.
converges to s> 5.
c.
converges to s> - 3.
d.
converges to s> 0.
e.
converges even s> 0.
f.
converges to s> 0.
g.
converges to s> 0.
h.
converges to s> 0.
Answer:
1. 96%
2. $6000
3. 176
4. 20%
Step-by-step explanation:
1. 1/5 of 80% is 16%. 80+16=96
2. 25% of 8000 is 2000. 8000-2000= 6000.
3. 10% increase of 200 is 20. 20+200=220. 20 percent of 220 is 44. 220-44=176
4. if you increase the original salary by 20%, then decreasing it by 20% of the new salary will give you the old salary.