Can someone help please i don't understand
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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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Answer:
A possible initial point is (1,4) and a possible terminal point is (8,5)
Step-by-step explanation:
The given vector is .
We can rewrite this vector as:
The x-components is 7 and the y-component is 1.
We can choose initial point (a,b) and terminal point (c,d) in the first quadrant such that and
If a=1, and b= 4, then:
and
This implies that:
and
Therefore a possible initial point is (1,4) and a possible terminal point is (8,5)
The volume of a rectangular prism is represented by the following equation:
Where the variables are for volume, width, height, and length, respectively.
We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that
Using this knowledge, we can change the volume equation to our needs.
Note: We know that A is 16 since it's given
The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.
Divide both sides of the equation by 16.
The length is 13 cm.
Let me know if you need any clarifications, thanks!