Answer:
Step-by-step explanation:
Let x = third side
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.
In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x
2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y
now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5
now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0
and now we have solved the problem. x=0 and y=-5
Answer:
B
Step-by-step explanation:
The question asks why you can use the argument that two angles are congruent. Hence, you want to have a statement that involves two angles in the two triangles. Only statement B is such a statement.
_____
Multiple choice questions often answer themselves, if you understand what you're reading.
What is her answer? She needs to have an answer. If she doesn't have an answer, then I can't identify the mistake
Answer:
0,250
Step-by-step explanation:
The probability that you looking for is sum of probability of getting someone in the 18-27age (74 persones) and probability to getting someone who refused (36 and 19 persones) - probability of getting some of 18-27 age who refused (36 persons).
The probability is:
P(a or b)= p(a)+p(b)-p(a&b)=74/371+(36+19)/371-36/371=0,199+0,148-0,097=0,250
