Answer:
no
Step-by-step explanation:
Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
The answer should be C because -1 so go down one the it postive 2 so go to the right 2
<u>the correct question is</u>
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Let
x-------> the cost to support a legionary per day
y-------> the cost to support an archer per day
we know that
4x+4y=10 ---------> equation 1
2x+2y=5 ---------> equation 2
If you multiply equation 1 by 2
2*(2x+2y)=2*5-----------> 4x+4y=10
so
equation 1 and equation 2 are the same
The system has infinite solutions-------> Is a consistent dependent system
therefore
<u>the answer is</u>
We cannot solve for a unique cost for each soldier, because there are infinite solutions.
Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:
Where r = radius
Thus the area of the circular region
The area of the square is given by the formula:
Thus the area of the given square
The probability of an event is given by the formula:
The probability that the dart land will be in the shaded region
Thus probability
Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
