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lions [1.4K]
3 years ago
13

Which angle is adjacent to ADB?​

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0
BDC is adjacent (Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.)
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Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man
nasty-shy [4]
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy. 

Max was on vacation twice as long as Jared. We can interpret this as  M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, <span>M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
</span><span>M + J + W = 21 [From the old list]
</span>J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one. 
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
<span>(7/2)M = 21 
</span>
Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
(\frac{2}{7})* (\frac{7}{2}m)= (\frac{2}{7})*(21)
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
<span>J = (1/2)M 
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days 
</span>
Wesley was on vacation twice as long as Max so...  W = 2M 
W= 2*6
W = 12
Wesley was on vacation for 12 days. 

Let's double check our answer:
M + J + W = 21 days<span>6 + 3 + 12 = 21   
The numbers work out so the math is correct. Hope this helps and makes sense!</span>
6 0
3 years ago
In a class of 40 students, 30 read
DIA [1.3K]
Ok so 24 of them and that would be ur answer
6 0
3 years ago
QUESTION 6
qaws [65]

Answer:

FI_ICKER I NEED THE POINTS TO DO MY OWN QUESTION SO Fi_iCK YA

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
9/(x - 8) = 4/5 how to solve this proportion
ICE Princess25 [194]
\frac{9}{x-8}=\frac{4}{5}
Cross multiply:
(9)(5)=(4)(x-8)
Simplify:
45=4x-32
Group like terms:
77=4x
Solve for x by division:
x=\frac{77}{4}
x=19.25
6 0
3 years ago
PLEASE HELPPPPP ME, IVE BEEN STUCK ON THIS ONE!!..
lianna [129]

Answer:

<u>C. 9 minutes 30 seconds</u>

Step-by-step explanation:

well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer

<u>Have a good day! :)</u>

4 0
1 year ago
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