<em><u>Explanation</u></em><em> </em><em>:</em>
The line DF is parallel to OB, therefore Angle x = Angle y.
( because, they for corresponding angle pair which are equal. )
And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence
The first rectangle has a length of 20cm and a width of 2cm for the area to be 40cm. so, the dimensions must be multiplied by 4 to equal 160cm.
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Answer:
2 flavors and 4 toppings
Step-by-step explanation:
For there to be 8 possible ways, you need to have inputs that can equal that. 4×2 is 8
Answer:
y = three-halves x minus 3
Step-by-step explanation:
Subtract 3x from both sides of the original equation.
-2y = -3x +6
Divide by -2
y = 3/2x -3
