<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
Answer:
equation d
Step-by-step explanation:
Answer:
(f-g)(x) is given by -x^2+4x+6
Step-by-step explanation:
A line has the angle of 180°
I'm going to assume that blurry number is a 35, but you can use this for any situation
180 - 35 = 145°
Angle x and y are the same
Answer:
27
Question:
Find
so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace
with -14 and solve for
in the equation:
.
with
:


Add 42 on both sides:

Divide both sides by 2:
.
So the
-coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace
with 27 and
with -14:


is true so our work must be right.