Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = 
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
The answer is 164. 5x4=20 and so on
Answer:
2
Step-by-step explanation:
Solve. Technically, there are two methods. You can first multiply, or first divide.
Essentially the question is:
(5 * 2)/5
or
2 * (5/5)
Solve. Remember to follow PEMDAS. First solve the parenthesis, then simplify:
(5 * 2)/5 = (10)/5 = 2
2 * (5/5) = 2 * 1 = 2
2 is your answer.
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The best thing to do is either to find a common denominator or convert them to decimals.
I will find a common denominator.
A common denominator of 3 and 5 is 15.
You multiply the first fraction by 5
2*5= 10
This then becomes 10/15
You then multiply the second by 3.
4*3= 12
Therefore, this becomes 12/15
As the second of these fractions is larger, this means that 4/5 is larger.
The alternative method is to put them into decimals, in which case 2/3= 0.66 and 4/5= 0.8
Hope this helps :)
B.) the length of the spring increases by 0.006 cm for every gram added to it.
y = 0.006x + 11.50
where:y = length of the spring in centimetersx = mass added to the spring in grams11.50 = the first number in the sequence0.006 = the common difference among numbers in the sequence.
x y1 11.5 + 0.006(1) = 11.50 + 0.006 = 11.506 2 11.5 + 0.006(2) = 11.50 + 0.012 = 11.5123 11.5 + 0.006(3) = 11.50 + 0.018 = 11.5184 11.5 + 0.006(4) = 11.50 + 0.024 = 11.5245 11.5 + 0.006(5) = 11.50 + 0.030 = 11.530
For every 1 gram added, the length of the string increases by 0.006cm
hope this helps
