Answer: (6) $172.50 (7) $74.80 (8) $106.65 (9) $141.20
(10) $119.00 (11) 12.5% markup (12) 15% markdown
<u>Step-by-step explanation:</u>
Use the following formula <em>(+ for markup and - for markdown/discount)</em>
Base Price ± (Base Price × markup/markdown) = Adjusted Price
6. <em>Markup so add (+)</em>
150 + (150 × 0.15) = x
150 + 22.5 = x
172.50 = x
7. <em>Markdown so subtract (-)</em>
85 - (85 × 0.12) = x
85 - 10.2 = x
74.80 = x
8. <em>Discount so subtract (-)</em>
135 - (135 × 0.21) = x
135 - 28.35 = x
106.65 = x
9. <em>Markup so add (+)</em>
x + (x × 0.25) = 176.50
x + 0.25x = 176.50
1.25x = 176.50
x = 141.20
10. <em>Markdown so subtract (-)</em>
x - (x × 0.15) = 101.15
x - 0.15x = 101.15
0.85x = 101.15
x = 119.00
11. <em>The adjusted price is more than the base price so add (+)</em>
278 + (278 × x) = 312.75
278 + 278x = 312.75
278x = 34.75
x = 0.125
x = 12.5% markup
12. <em>The adjusted price is less than the base price so subtract (-)</em>
157 - (157 × x) = 133.45
157 - 157x = 133.45
-157x = -23.55
x = 0.15
x = 15% markdown
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer/Step-by-step explanation:
[RevyBreeze]
Answer:
x = 13
Step-by-step explanation:
the angles are equal.
8x + 2 = 14x - 76
<em>subtract 8x from both sides</em>
8x - 8x + 2 = 14x - 8x - 76
2 = 14x - 8x - 76
2 = 6x - 76
<em>add 76 to both sides</em>
2 + 76 = 6x - 76 + 76
2 + 76 = 6x
78 = 6x
<em>divide both sides by 6</em>
78/6 = 6x/6
78/6 = x
13 = x
