Step-by-step explanation:
Answer:
∠CBD = 125°
Step-by-step explanation:
The angle sum theorem tells you that ...
∠ABC +∠CBD = ∠ABD
8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°
17x -24° = 180° . . . simpify
17x = 204° . . . . . . add 24°
x = 12° . . . . . . . . . . divide by 17
Now the measures of the angles can be found from their expressions.
∠ABC = 8(12) -41° = 55°
∠CBD = 9(12) +17° = 125°
Explanation:
( ) . . . . stuff that is given
∠ABE ≅∠DEG . . . . corresponding angles at a transversal
∠ABC +∠CBE = ∠ABE . . . . angle addition postulate
∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality
∠DEF +∠FEG = ∠DEG . . . . angle addition postulate
∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality
∠FEG = ∠ABE -∠ABC . . . . substitution property of equality
∠CBE = ∠FEG . . . . substitution property of equality
CB║EF . . . . converse of corresponding angles theorem
(1+1)x+1 and 4x+10
Explanation
I distributed the 2 to form a new equation and I put together the distributed equation in the second one to form a new one,
Answer:
A number line with a closed circle on 21, with shading to the right.
Step-by-step explanation:
Because you include 21 and everyone older than 21.