9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally.
BD/BA = CD/CA
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)
3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property
12 = x +2 . . . . . . . subtract 3x
10 = x . . . . . . . . . subtract 2
Then the length of BD is ...
BD = x +4
BD = 10 +4 . . . . substitute the value of x
BD = 14
Answer:
390 inches long
Step-by-step explanation:
The string = x
x = 390 inches
Answer: total net sales = $7950
Step-by-step explanation:
The formula for determining total net sales is expressed as
total net sales = Gross sales - (sales returns + allowances + discount)
Gross sales means total sales.
From the information given,
Gross sales = $9000
Discounts = $900
Returns = $150
Allowances = 0(this is because it was not given)
Therefore,
total net sales = 9000 - (900 + 150)
= 9000 - 1050
total net sales = $7950
The outside angle of B needs to equal 180 - 79 = 101 degrees.
The 3 outside angles of a triangle need to equal 360 degrees.
Set up the equation with what we know:
X + (x+5) + 101 = 360
Simplify:
2x + 106 = 360
Subtract 106 from both sides:
2x = 254
Divide both sides by 2:
x = 254 / 2
x = 127
The other angles in the isosceles triangle with an angle of 100° will be 40°
Step-by-step explanation:
Lets define an isosceles triangle first.
"An isosceles triangle is a triangle with two equal sides and two equal angles.
Given that an angle of the triangle is 100°
We know that the sum of internal angles of a triangle is 180°
The sum of remaining two angles is:
=180°-100°
=80°
As the triangle is an isosceles triangle, the two angles will be equal.
So the angles will be:
The other angles in the isosceles triangle with an angle of 100° will be 40°
Keywords: Triangle, isosceles triangle
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