Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
<h2>
Answer:</h2><h2>80%.</h2>
Step-by-step explanation:
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:
1. 36
2. 5390
Step-by-step explanation:
1. V=1wh/3
4 x 3 x 9 = 108
108/3 = 36
2. V=lwh/3
22 x 21 x 35 = 16170
16170/3 = 5390
