Answer:
$111
Step-by-step explanation:
The bank balance is ...
$700 × (1 + 0.05) = $735
The cost of the computer is ...
$750 × (1 -0.20) × (1 +0.04) = $624
The remaining bank balance after paying for the computer is ...
$735 -624 = $111
_____
When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).
(original amount) + (percentage)×(original amount)
Use the distributive property to factor out the original amount:
= (original amount)×(1 + percentage)
They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
Then apply the scale factor of 5:6:
Set the denominators equal:
So we see that the perimeter of GHJ is 35.
Answer:
D
Step-by-step explanation:
If it intersects the x axis, then y = 0. This is not possible, as you can plug in x to be 1/100000000000000000000000000000000000, or something very tiny, but it will never get 0. So, A is not a choice.
This also means B is not a choice.
If C is a choice, then it does not intercept the y axis, or x cannot be 0. This is not true, because (0, 1) is on the graph.
Finally, we have D. It intercepts the y axis (we have proven this in C). So, this is the only answer choice that is correct.
Answer:
1. D
2. B
3. A
Step-by-step explanation:
Question 1:
The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.
Question 2:
Given that <KLM = x°
<KML = 50°
<JKL = (2x - 15)°
According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.
2x - 15 = x + 50
Solve for x
2x - x = 15 + 50
x = 65
Therefore, <KLM = 65°
QUESTION 3:
<JKL = 2x - 15
Plug in the value of x
<JKL = 2(65) - 15
= 130 - 15
<JKL = 115°
Answer:
D
Step-by-step explanation: