Answer:
6
Step-by-step explanation:
Let the 4 people be A, B, C and D. If each of them shakes hands with another person exactly one time then that means
A shakes with B, C and D. So 3 handshakes
B already shakes with A. So B shakes with C and D. 2 handshakes
C already shakes with A and B. So C shakes with D only. 1 handshake.
D already shake hand with all above.
Total handshakes: 3 + 2 + 1 = 6
Answer:
15°
Step-by-step explanation:
The line in the middle of the triangle divides it into two triangles. These two triangles are equal. You can see this because the given angle (90°) is equal for both sides, and the bottom sides (23) are also equal to each other.
Since the triangles are equal, this means that the given angle of 75° also applies to the other side. The total degrees a triangle can have is 180°. Use the given angles to solve for the unknown angle.
75° + 90° + x = 180°
165° + x = 180°
x = 15°
The angle measure will be 15°.
Answer:
<u>First Part:</u> Hannah will pay $45.25
<u>Second Part:</u> Hannah will pay $46.75
Step-by-step explanation:
<u>Complete Question:</u>
<em>Hannah was shopping for a summer dress at a store near her home. On the rack where she found the dress she wanted, she saw two signs. The first one read, “Clearance: 15% off.” The second one read, “$10 off—Instant Savings.” The original price of the dress was $65.00. Hannah lives in Oregon, where there is no sales tax.
</em>
- <em>
How much will Hannah pay for the dress if the 15% discount is applied before the $10 discount?
</em>
- <em>
How much will Hannah pay for the dress if the $10 discount is applied before the 15% discount?</em>
<em />
<u>First Part:</u>
First, 15% off, then $10 off. So
65 - (0.15)(65) = $55.25
Now $10 off makes it:
55.25 - 10 = $45.25
Hannah will pay $45.25
<u>Second Part:</u>
Now, first we have to apply $10 discount, so:
65 - 10 = $55
Now, we apply 15% discount, thus:
55 - (0.15)(55) = $46.75
Hannah will pay $46.75
