If two triangles are similar, then their side lengths are proportional.
RS / JK = RT / JL
5 / x = 4 / 7
4x = 35
x = 35/4 = 8.75
RT / JL = TS / LK
4 / 7 = 6 / (y + 2)
42 = 4(y + 2)
42 = 4y + 4
4y = 38
y = 38/4 = 9.5
LK = 9.5 + 2 = 11.5 cm
JK = x = 8.75
Hope this helps!
Answer:
A. The distance between pathways inside silicon chips gets smaller with each successive generation
Step-by-step explanation:
Answer:
It takes 13 months for the second phone to be less expensive than the first phone.
Step-by-step explanation:
First phone: y = 100 + 55x
Second phone: y = 150 + 51x
(x = number of months, y = total cost)
Make a T-Chart.
First phone: Second phone:
<u> x | y </u> <u> x | y </u>
0 | 100 0 | 150
1 | 155 1 | 201
2 | 210 2 | 252
3 | 265 3 | 303
4 | 320 4 | 354
5 | 375 5 | 405
6 | 430 6 | 456
7 | 485 7 | 507
9 | 595 9 | 609
10 | 650 10 | 660
11 | 705 11 | 711
12 | 760 12 | 762
13 | 815 13 | 813
After 13 months, the second phone will have costed $2 less than the first phone, and the price of the second will continue to be lower than the first.
Answer:
Sum of money invested in corporate bonds = 30,000
Step-by-step explanation:
Total sum = 40,000
The rate of interest for corporate bonds = 10 % = 0.1
The rate of interest for municipal bonds = 6 % = 0.06
Total interest = 3600
Let sum of money invested in corporate bonds = x
The sum of money invested in municipal bonds = 40000 - x
× 0.1 × 1 + (
) × 0.06 × 1 = 3600
(0.1- 0.06) + 2400 = 3600
0.04 = 1200
= 30,000
Since x = sum of money invested in corporate bonds
So sum of money invested in corporate bonds = 30000
