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3 years ago

What two theorems are being used ?

Mathematics

2 answers:

siniylev [52]3 years ago

6 0

Answer:

Angle-Angle-Angle(AAA)

Side-Angle-side(SAS)

Step-by-step explanation:

leva [86]3 years ago

3 0

Answer:

Angle-Angle-Angle(AAA)
Side-Angle-side(SAS)

Step-by-step explanation:

Let's see what is similar in both triangles

<A=<F
<B=<E
<C=<D

So Angle-Angle-Angle similarly theorem verified

AB=ED
FD=BC
BC=EF

So Side-Angle-side or Side-Side-Side similarity theorem verified

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If 3(n+8)=36 what is the value of n

Ronch [10]

Answer:

Thus, n = 4 is the solution.

Step-by-step explanation:

1. perform the indicated multiplication, obtaining 3n + 24 = 36

2. Subtract 24 from both sides: 3n = 12

3. Solve this result for n: n = 12/3. Thus, n = 4 is the solution.

4 0

4 years ago

Read 2 more answers

Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation

Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

$(2x + 7) = 4$

To Find : how many bags he needs?

Solution :

$(2x + 7) = 4$

$2x=-3$

$x=-\frac{3}{2}$

Now we are given that Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

Substitute the value of x

$B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)$

$B=8.5$

Hence 8.5 bags are needed.

3 0

4 years ago

Solve each system using elimination. tell whether the system has one solution, infinitely many solutions, or no solution.

Tomtit [17]

1.
$x-2y=-1 \\
2x+y=4 \ \ \ |\times 2 \\ \\
x-2y=-1 \\
\underline{4x+2y=8 \ } \\
x+4x=8-1 \\
5x=7 \\
x=\frac{7}{5} \\
x=1 \frac{2}{5} \\ \\
x-2y=-1 \\
\frac{7}{5}-2y=-1 \\
-2y=-1-\frac{7}{5} \\
-2y=-\frac{5}{5}-\frac{7}{5} \\
-2y=-\frac{12}{5} \\
y=\frac{6}{5} \\
y=1 \frac{1}{5} \\ \\
\boxed{(x,y)=(1\frac{2}{5}, 1 \frac{1}{5}) \Leftarrow \hbox{one solution}}$

2.
$x+3y=4 \ \ \ |\times 2 \\
2x-6y=8 \\ \\
2x+6y=8 \\
\underline{2x-6y=8} \\
2x+2x=8+8 \\
4x=16 \\
x=4 \\ \\
x+3y=4 \\
4+3y=4 \\
3y=4-4 \\
3y=0 \\
y=0 \\ \\
\boxed{(x,y)=(4,0) \Leftarrow \hbox{one solution}}$

3.
$y=-\frac{1}{2}x-3 \ \ \ |\times (-2) \\
x+2y=-6 \\ \\
-2y=x+6 \\
\underline{x+2y=-6 \ } \\
x=x+6-6 \\
x-x=6-6 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}$

4.
$6x-3y=-18 \\
-2x+4y=18 \ \ \ |\times 3 \\ \\
6x-3y=-18 \\
\underline{-6x+12y=54} \\
-3y+12y=54-18 \\
9y=36 \\
y=4 \\ \\
6x-3y=-18 \\
6x-3 \times 4=-18 \\
6x-12=-18 \\
6x=-18+12 \\
6x=-6 \\
x=-1 \\ \\
\boxed{(x,y)=(-1,4) \Leftarrow \hbox{one solution}}$

3 0

3 years ago

How is the function shown below related to y=x? Graph the function by translating the parent function y=x+5

AveGali [126]

Consider x=0.

The output of the function y=x is y=0.

The output of the function y=x+5 is y=0+5, or y=5.

The value 5 is not 5 less than 0, not 1/5 of 0, and not 5 times 0. Rather, it is 5 more than 0, corresponding to selection ...

... C. Each output of y=x+5 is 5 more than the corresponding output of y=x.