Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒ 
⇒ 
⇒ 
hence, the length of diagonal is 18 m
Answer:
B
Step-by-step explanation:
its B
:p
Step-by-step explanation:
4x+x-1+2x+1
since any number power zero is one
group like terms
4x +x+ 2x-1+1
7x=0
divide both sides by 7
x= 0
<em>x</em> kg of Maxwell House coffee contains 0.13<em>x</em> kg of Columbian beans.
<em>y</em> kg of Folgers contains 0.21<em>y</em> kg of beans.
You want a mixture weighing 70 kg, so
<em>x</em> + <em>y</em> = 70
You also want this blend to consist of 19% Columbian beans, or 0.19 (70 kg) = 13.3 kg, so
0.13<em>x</em> + 0.21<em>y</em> = 13.3
Solve for <em>x</em> and <em>y</em> :
<em>x</em> + <em>y</em> = 70 ===> <em>y</em> = 70 - <em>x</em>
0.13<em>x</em> + 0.21<em>y</em> = 13.3 ===> 0.13<em>x</em> + 0.21 (70 - <em>x</em>) = 13.3
0.13<em>x</em> + 14.7 - 0.21<em>x</em> = 13.3
14.7 - 13.3 = 0.21<em>x</em> - 0.13<em>x</em>
1.4 = 0.08<em>x</em>
<em>x</em> = 17.5
<em>y</em> = 52.5
Human and the environment
