Find all values of x that make the triangles congruent. Explain your reasoning.
1 answer:
Answer:
x = 
Step-by-step explanation:
If both the triangles ΔABC and ΔBCD are congruent,
Corresponding sides of both the triangles will be proportional.
5x(4x + 3) = (5x - 2)(3x + 10)
20x² + 15x = 15x² + 50x - 6x - 20
20x² + 15x = 15x² + 44x - 20
20x² - 15x² = 44x - 15x - 20
5x² = 29x - 20
5x² - 29x + 20 = 0
5x² - 25x - 4x + 20 = 0
5x(x - 5) - 4(x - 5) = 0
(5x - 4)(x - 5) = 0
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Answer:
$212
Step-by-step explanation:
If the ratio is 1:4, then it can be resold for 1/4 of the original price. Divide $848 by 4 to get $212.
Answer:
x1= -4
x2 = 4
Step-by-step explanation:
Set the equation equal to zero
x2 − 16 = 0
then
(x + 4)(x − 4) = 0
(x+4)= 0 which is equal to -4
and
(x-4)= 0 equals 4
To find the cost of the truck, you will need to add all the expenses that incurred in addition to the actual cost of the truck.
35000 + 2000 + 1200 + 120 + 220 = 38540
The cost including expenses should be recorded as $38540.
Answer: 26 Minutes
Step-by-step explanation:
3 mi * 1.609 km/1 mi = 4.82 km
4.82 km/ 18 minutes = 7 km/ x minutes
4.82x=18*7
x=126/4.82
x=26.14 ~ 26 Minutes
