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:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
Answer:
if exterior angle is 10 degrees, then interior angle is 180 -10 = 170 deg.
Each trinaglke inside the polygon will be isosceles with two angles of 170/2 - 85 degrees each.
So, angle at centre = 180 -170 = 10 deg.
Ttal angle at centre = 360 deg.
No of sides = 360 /10 = 36 sided polygon.
b) Sum of interior angles is given by (2N-4) Right angles
So: 9900 = (2N-4)x90 = 180N - 360
180N = 9900 +360 = 10260
N = number of sides = 10260 / 180 = 57 sides
Answer:
slope should be 1.50x and your y-intercept should be 7.50
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
To find the mean, add up all the numbers
15+15+25+29 =84
Divide by the number of numbers
84/4 = 21
