<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:
40
Step-by-step explanation:
7 = 17.5% × Y
STEP 2 7 =
17.5
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 17.5 we will arrive at:
STEP 3 Y = 7 ×
100
17.5
STEP 4 Y = 7 × 100 ÷ 17.5
STEP 5 Y = 40
22+26+28+30+39+44+62+63= 314
Divide the answer by the amount of numbers
=39.25
Answer:
2/7, 4/7, 1/2, 5/6, 3/8
Step-by-step explanation:
i dont know if its correct
Answer:
slope = -2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. Since the given equation is not in the exact slope-intercept form, we need to rearrange it to identify the slope.
y + 2x = 5 <----- Given equation
y = -2x + 5 <----- Subtract 2x from both sides
Now, we can see that in the "m" position, there is a value of -2. This makes the slope = -2.