Let x and y be the two numbers. We have:
Subtract the first equation from the second to get
And deduce
The two numbers are 3 and 11.
<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:
m²
Step-by-step explanation:
Answer:
m=20
Step-by-step explanation:
m-9=11
m-9+9=11+9
m=20
Answer:
The price decreased by 16 1/3%, or approximately 16.3%
Step-by-step explanation:
Use the formula for percent change. If the answer is negative, it is a percent decrease. if the answer is positive, it is a percent increase.
percent change = (new price - old price)/(old price) * 100%
In this case, use:
new price = 50
old price = 60
percent change = (new price - old price)/(old price) * 100%
percent change = (50 - 60)/60 * 100%
percent change = -10/60 * 100%
percent change = -1/6 * 100%
percent change = -100/6% = -50/3% = -16 1/3%
The price decreased by 16 1/3%, or approximately 16.3%
