Answer:
13
Step-by-step explanation:
Absolute value is the distance that number is from zero
<u>QUESTION :</u>
Find the given value of each angle for the following supplementary angles must add up to 180
- one angle = (5x-13)°
- another angle = (11x+65)°
➱<em>ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ</em>
➱ѕσ ѕυм σƒ вσтн тнє αηgℓєѕ = 180°
therefore ,
⤳(5x-13)° + (11x+65)° = 180°
⤳5x -13° + 11x + 65° = 180°
⤳16x + 52° = 180°
⤳16x = 180° - 52°
⤳16x = 128°
⤳x = 128 /16
hence ,
the two angles will be
⇛<u>ᴏɴᴇ ᴀɴɢʟᴇ</u> :
<em>➛</em>(5x-13)°
<em>➛</em>5(8) - 13
<em>➛</em>40 - 13
⇛<u>ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ</u> :
<em>➛</em><em> </em>(11x+65)°
<em>➛</em>11(8)+65
<em>➛</em>88 + 65
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent (Angle-Side-Angle or ASA).
<u>Explanation</u><u> </u><u>:</u>
<h3 />
<u>By doing cross multiplication, we get-----</u>
=>p-6=3(p+7)
=>p-6=3p+21 =>p-3p=21+6
=>-2p=27
=>p=27/-2
=>p=-27/2
<h3><u>Verification:</u></h3>
<u>By,putting the value of p in the equation, we get----</u>
<u>(</u><u>LHS)</u>=(-27/2+7)/(-27/2-6)=1/3<u>(</u><u>RHS)</u>
=>(-27+14/2)/(-27-12/2)=1/3
=>(-13/2)/(-39/2)=1/3
=>-13/2×2/-39=1/3
=>1/3=1/3
<u>Hence,LHS=RHS verified.</u>
Answer:
80% decrease in the quantity over 7 days
Step-by-step explanation:
Given data
We have the function
f (t) = 310(0.2)24
the above function is similar to the exponential function
f (t) = P(1±r)^t
Now the value 0.2
This means that there is 80% decrease in the quantity over 7 days
