.05*2000=100 Non-Sporting
.06*2000=120 Herding
.24*2000=480 Sporting
.21*2000=420 Working
.16*2000=320 Hound
.16*2000=320 Terrier
.12*2000=240 Tay
Hope I didn't mess up for your sake
The intersected arc is the arc opposite the angle in question, here arc ABE.
Answer: ABE, last choice
Step-by-step explanation:
Let the number is a <em>and</em><em> </em>b
The sum of two numbers =30
so,a+b=30 <em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em>
The difference of two number =12
so,a-b=12<em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em>
If we add two equation (1) and (2)
we get,
a+b+a-b=30+12
2a=42
so,one number is a=21
if we put the value a in (2) equation
we get,
a-b=12
21-b=12
b=21-12
b=9
so,the another number is=b=9
Answer:
Real distance between Manchester and London = 263.2 km
Step-by-step explanation:
Given that:
A map has a scale of 1 cm = 14 km
Ratio = 1 : 14
Distance from Manchester to London = 18.8 cm
Let,
x be the real distance between Manchester and London.
Ratio = 18.8 : x
As the relationship is proportional,
1 : 14 :: 18.8 : x
Product of mean = Product of extreme
14*18.8 = x
x = 263.2 kilometers
Hence,
Real distance between Manchester and London = 263.2 km
Answer: 14.4
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Work Shown:
Use the angle bisector theorem to divide each side adjacent to the congruent angles (x and 13.5) over their corresponding sides that are adjacent to those previously mentioned sides.
So in short we have x/6.6 as one ratio, and 13.5/6.2 as another
Equate the two fractions, cross multiply, solve for x.
x/6.6 = 13.5/6.2
x*6.2 = 6.6*13.5 ... cross multiply
6.2x = 89.1
6.2x/6.2 = 89.1/6.2 .... divide both sides by 6.2
x = 14.371 which is approximate
x = 14.4
