Question

Both questions in picture! Will give brainliest!!

Answer 1

Answer:

See belolw

Step-by-step explanation:

$P=53\text{ft}$

$P = a+b+c$

$53=2x-15+x+1+3x-29$

$53=6x-43$

$96=6x$

$x=16$

$a=2x-15$

$a=2(16)-15$

$\boxed{a=17}$

$b=x+1$

$b=16+1$

$\boxed{b=17}$

$c=3x-29$

$c=3(16)-29$

$\boxed{c=19}$

Answer 2

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

$\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2$