Answer:
A and B are correct, but A is most correct.
Step-by-step explanation:
just do Pythagorean theorem and see which numbers add up to each other. if you do them for all 4 answers, you see d and c do not equal to each other. b is almost correct, and a comes out exact.
Answer:
Line s and Line t are parallel.
Step-by-step explanation:
Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.
By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
The answers are below
Step-by-step explanation:
The greater sign is > and the less then symbol is <
Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.
In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3
In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3
Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3
If you're wondering what the open dots and closed dots mean:
An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).
A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).
Answer:
72.5ft
Step-by-step explanation:
Answer:
$157.17
Step-by-step explanation:
Interest is the amount of return that someone receive on the amount invested in a bank or in a business. The annual interest rate is defined on the invested amount. The amount invested is called the principal and.
By applying the interest rate on the principal amount, we can calculate the annual interest earning.
Principal = $3,100
Rate of simple interest = 3.38% per year
Now, define the total time period.
Time period = 18 months = 18 / 12 = 1.5 years
Now calculate the Total interest earning.
Interest Earned = $3,100 x 3.38% x 1.5 = $157.17
