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UNO [17]
3 years ago
8

Find the value of x. (5x +13) (4x+ 2)° (2x -9)

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

Answer:

x = 20

Step-by-step explanation:

By exterior angle theorem, we have:

(4x + 2) \degree + (2x  - 9) \degree = (5x + 13) \degree \\  \\(4x + 2 + 2x - 9) \degree  = (5x + 13) \degree\\  \\(6x  - 7) \degree  = (5x + 13) \degree \\  \\ 6x - 7 = 5x + 13 \\  \\ 6x - 5x = 13 + 7 \\  \\ x = 20

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Find the area of the trapezoid with bases 12 cm and 14 cm and height 9 cm
Cerrena [4.2K]

Answer:

117

Step-by-step explanation:

b1+b2÷2×h is the formula.

Just fill in the formula with the numbers you have.

12+14=26

26÷2=13

13×9=117

3 0
2 years ago
The temperature of a hot steak starts at 140f and decreases at 5f per minute what will the temperature of this steak after a cer
irina1246 [14]

Answer:

T(m) = (140 - 5m)

Step-by-step explanation:

Given that :

Initial temperature, a = 140 F

Rate of decrease = 5 F per minute

Given a certain Number of minutes, m

Temperature, T after m minutes ;

Using the formula :

Final temperature = Initial temperature - 5*number of minutes)

T(m) = (140 - 5m)

Given that ; m = 10

T(10) = 140 - 5(10)

T(10) = 140 - 50

T(10) = 90 F

7 0
3 years ago
Liam puts $2000 in the bank with a 3% annual interest rate compounded annually. if Liam does not touch his money how much money
inna [77]
D.  He will have $2,121.80.

After one year at 3% interst, $2000 becomes $2000 x 1.03 = $2,060.
During the second year, that $2060 x 1.03 becomes $2121.80
8 0
3 years ago
Read 2 more answers
Five hundred teenagers were sampled at random about their favorite movie genre. The results are listed in the table below. Out o
MaRussiya [10]

Answer:

924 teenagers

Step-by-step explanation:

154 / 500 ×3000

= 924

Since 154 teenagers out of 500 prefer action movies, you'll just divide them by their total number 500 multiplied by the other total number 3000 to get the others who prefer action movies.

trying the others too

sci- fi

116 / 500 × 3000

= 696

romance

109 / 500 × 3000

= 654

comedy

78 / 500 × 3000

= 468

drama

43 / 500 × 3000

= 258

putting all of them together should give u ur total number

924 + 696+ 654 + 468 +258

= 3000

5 0
2 years ago
Starla and Lewis start saving money every month. Starla has an initial balance of $100, and she deposits $15 every month in her
seraphim [82]

Answer:

D. Starla and Lewis will have the same balance in their accounts after 7 months.

5 0
2 years ago
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