C ♀️.. I had this same problem an hour ago and I put C
Answer:
x = 36°
m<1 = 36°
m<2 = 144°
m<3 = 36°
m<4 = 144°
m<5 = 144°
m<6 = 36°
Step-by-step explanation:
✔️x° + 4x° = 180° (linear angle pair theorem)
5x = 180
x = 180/5
x = 36°
For easy identification, the six angles to be found have been labelled <1 to <6 as shown in the attachment below.
✔️m<1 = x° (vertical angles pair)
m<1 = 36° (substitution)
✔️m<2 = 4x° (vertical angles pair)
Plug in the value of x
m<2 = 4(36)
m<2 = 144°
✔️m<3 = x° (alternate interior angles theorem)
m<3 = 36° (substitution)
✔️m<4 = 4x° (corresponding angles theorem)
m<4 = 4(36) (substitution)
m<4 = 144°
✔️m<5 = 4x° (alternate exterior angles theorem)
m<5 = 4(36)
m<5 = 144°
✔️m<6 = x° (corresponding angles theorem)
m<6 = 36°
Answer:
a) She did mistake in Step 2
b) when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Step-by-step explanation:
We need to find problem in Ms J solution.
Ms J solution:
She did mistake in Step 2 when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Correcting the mistake:
Answer:
The actual discount is a 68% discount.
Step-by-step explanation:
Remember that if something has a price P, and you have a discount of the X%, the new price will be:
P' = P - P*(X%/100%) = P*(1 - X%/100%)
Here we first have a 60% discount, then if the initial price is P, the new price is:
P' = P*(1 - 60%/100%) = P*(1 - 0.6)
Now we have an additional 20% discount (this applies to the new price)
then the final price is:
P'' = P'*(1 - 20%/100%) = P'*(1 - 0.2) = P*(1 - 0.6)*(1 - 0.2)
We want to rewrite this as something like:
P'' = P*(1 - k)
Let's do this:
P'' = P*(1 - 0.6)*(1 - 0.2) = P*(1 - 0.2 - 0.6 + 0.2*0.6)
= P*(1 - 0.8 + 0.12) = P*(1 - 0.68)
And this can be as:
P'' = P*(1 - 68%/100%)
Then the actual discount is a 68% discount.
Answer:
Employee is the correct answer