Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
Answer: option 3
Step-by-step explanation:
Answer:
A(n) = L(n) × W(n) and 
Step-by-step explanation:
We are given that the length of the rectangular garden is L and width is W.
Also, in terms of 'n',
Length is given by, L(n) = n + 2
Width is given by, W(n) = 0.5n + 1.
Now, we know that, Area of rectangle = Length × Width.
Therefore, area of Kirti's garden is given by, A(n) = L(n) × W(n).
Thus, formula of area in terms of L(n) and W(n) is A(n) = L(n) × W(n).
Moreover, as A(n) = L(n) × W(n).
i.e. A(n) = (n+2) × (0.5n+1)
i.e. 
i.e. 
i.e.
Hence, the formula for area in terms of 'n' is .
Answer:
they are asking u if the antibiotic is working the answer is b
<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
