I'm sorry I can't see it, it is blocked.
Answer:
1.) Triangle ABC is congruent to Triangle CDA because of the SAS theorem
2.) Triangle JHG is congruent to Triangle LKH because of the SSS theorem
Step-by-step explanation:
Alright. Let's start with the 1st figure. How do we prove that triangles ABC and CDA (they are named properly) are congruent? First, we can see that segments BC and AD have congruent markings, so that can help us. We also see a parallel marking for those segments as well, meaning that the diagonal AC is also a transversal for those parallel segments. That means we can say that angle CAD is congruent to angle ACB because of the alternate interior angles theorem. Then, the 2 triangles also share the side AC (reflexive property).
So, we have 2 congruent sides and 1 congruent angle for each triangle. And in the way they are listed, this makes the triangles congruent by the SAS theorem since the angle is adjacent to the 2 sides that are congruent.
The second figure is way easier. As you can clearly see by the congruent markings on the diagram, all the sides on one triangle are congruent to the other. So, since there are 3 sides congruent, we can say the triangles JHG and LKH are congruent by the SSS theorem.
Answer:
558
Step-by-step explanation:
|266 + 292|
=> | 558 |
=> 558
When put in matrix form, the coefficients of
... 3x -2y = 7
... x + 4y = 2
look like
![\left[\begin{array}{cc}3&-2\\1&4\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26-2%5C%5C1%264%5Cend%7Barray%7D%5Cright%5D%20%20)
The determinant is 3×4 - 1×(-2) = 14.
Answer:
A
Step-by-step explanation:
We can use vertical line test to determine if a relation is a function.
<em>If a vertical line passes the graph at any point only once, then the relation is a function, if there is even 1 line that passes the graph at 2 points, then it is NOT a function.</em>
<em />
The domain is the set of allowed x-values of the function. The range is the set of allowed y-values of the function.
- Looking at the graph, we see that there are a lot of vertical lines that cuts the graph two times. Suppose x=3, x=4, x= 5 etc. So it is not a function.
- As for domain, we see that curve swings from x = -8 to x = 8, so the domain is from -8 to 8.
- As for range, we that the curve stretches all the way from negative infinity to positive infinity, so the range is the set of all real numbers.
Correct answer is A
