If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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YZ = YA + AZ
41.5 = 5.5 + AZ
AZ = 41.5 - 5.5
AZ = 36
So, your final answer is AZ = 36
Hope this helps!
Answer:
25.12 ft that is the answer
Step-by-step explanation:
Answer/Step-by-step explanation:
The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.
Therefore:
The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.
✅Formula to find the value of x:
(8x - 6) + 2(4x + 5) = 180° (sum of triangle)
8x - 6 + 8x + 10 = 180
8x + 8x - 6 + 10 = 180
16x + 4 = 180
16x + 4 - 4 = 180 - 4
16x = 176
16x/16 = 176/16
x = 11
Answer:
1) y = -2x - 1
2) y = -3/4 + 3
3) y = 4x + 9
4) y = - 5/3x - 2
Step-by-step explanation:
b = y - m*x
1) (-7,13) and slope: -2
b = 13 - (-2)*(-7)
b = 13 - 14
b = -1
2) (4,6) lope = -3/4
b = 6 - (-3/4)*(-4)
b = 6 - 3
b = 3
y = -3/4x + 3
3) (-5,-11) and (3,-7)
Slope: (1 - - 11)/(-2 - - 5) = 12/3
= 4
b = -11 - (4) (-5) = 9
b = 9
4) slope = (-7 - 8)/(3- - 6)
= -15/9 = - 5/3
b = 8 - (-5/3)*(-6)
b = 8 - 10
b = -2
