<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: Melanie swam 63 minutes more in second week.
Step-by-step explanation:
Given , Time taken by Melanie in first week to swim = 142 minutes
Combined time taken by her in first two weeks in swimming = 347 minutes
Now , time taken by her in second week = (Combined time of first two week) - (Time taken in first week)
= 347-142 minutes
= 205 minutes
Clearly , 205 > 142 i.e. She swam more in second week than first week./
Difference i= 205-142 = 63
Therefore, Melanie swam 63 minutes more in second week.
Answer:
8
Step-by-step explanation:
We know that in 5 days they have travelled 2045 miles. This means that their per day average for travel is 2045/5=409 miles per day.
Now the distance left is 3272-2045=1227 miles.
And if we divide the average miles with the miles left, it gives us= 1227/409
=3
So, the total time taken for travel will be= 5+3=8 days
I guess this is the way to do it.
Answer:
4/3
Step-by-step explanation:
find common denomerator which is 12
so times 3/4 by 3
now its 9/12 + 7/12
get 16/12
Answer:
The answer is C one solution
Step-by-step explanation:
x-y=-14
-y=-x-14 bring x to the other side
y=x+14 divide everything by -1
-x-y=14
-y=x+14 bring x to the other side
y=-x-14 divide everything by -1
