Answer:
D. LA
Step-by-step explanation:
The diagram shows two right triangles having a corresponding acute angle each which are congruent to each other. Also, the leg in ∆LMN is also congruent to the corresponding leg in ∆ABC.
This satisfy the LA Congruence Theorem. Therefore, both triangles are congruent based on the LA congreunce theorem.
Let's simplify step-by-step.<span><span><span><span><span>7x</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>−3</span><span>=<span><span><span><span><span><span><span>7x</span>+</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>+</span>−3</span></span>Combine Like Terms:<span>=<span><span><span><span><span>7x</span>+<span>−<span>6y</span></span></span>+<span>3x</span></span>+<span>3y</span></span>+<span>−3</span></span></span><span>=<span><span><span>(<span><span>7x</span>+<span>3x</span></span>)</span>+<span>(<span><span>−<span>6y</span></span>+<span>3y</span></span>)</span></span>+<span>(<span>−3</span>)</span></span></span><span>=<span><span><span>10x</span>+<span>−<span>3y</span></span></span>+<span>−3</span></span></span><u>Answer:</u><span>=<span><span><span>10x</span>−<span>3y</span></span>−<span>3</span></span></span>
I guess this is the answer
then:
x=9
We have the following table:
545-534.2 = 10.8
545-556.4 = -11.4
545-554.0 = -9
545-535.3 = 9.7
write them as a positive and negative rational numbers
positive:
9.7 = 9 7/10
10.8 = 10 4/5
negative:
-11.4 = -11 2/5
-9 = -9
the differences from least to greatest
-11 2/5
-9
9 7/10
10 4/5
To answer this question you have to create a system of equations. The first equation will be that Devi's money (x) equals her brother's money (y), or x = y. The next equation would be that (3/5)x + (7/10)y = 78. You than can substitute x in for y because x = y. The equation would know be (3/5)x + (7/10)x = 78. You then combine the like terms to create an equation of (13/10)x = 78. Then, multiply both sides by 10 / 13 in order to isolate x. This will create the equation x = 60. This means that Devi and her brother each had 60 dollars. You then find out how much they spent and add it together. You can do so with the equation (2/5)x + (3/10)y = z, with z being total money spent. You substitute 60 in for x and for y then solve. When you solve you see that 24 + 18 = z, or that z equals 42. In other words, they spent 42 dollars altogether.