Answer:
a. 86-degrees; angle-2 corresponds to the given angle.
Step-by-step explanation:
Angle 2 is 86 degrees. Whenever a line is bisected by another line, 4 angles are formed. The opposite angles aka the kissing V's have the same angle measurement. Angle 2 and 86-degrees are the kissing V's here, thus they have the same angle measure.
The price of the sweater was reduced by 40%
Step-by-step explanation:
Step 1; Cost before reduction was $20. The cost after reduction was 12$. Cost reduced= cost before reduction - cost after reduction
Cost reduced= $20 - $12 = $8
Step 2; We must find how much of the cost was reduced from the initial cost i.e. how much $8 is to $20. To do this we must convert it into a percentage. We divide the $8 with the $20 to get a value. This value must be multiplied with a 100 to be converted into a percentage.
Cost by which sweater was reduced=
* 100 = 0.4 * 100 = 40
So the price of the sweater was reduced from $20 to $8 which equates to a reduction in 40%.
The answer should be 49 433/1000
Answer:
542.50
Step-by-step explanation:
Given:
Least square regression equation :
y = 102.50 + 0.65x + residual
y = predicted fare
x = distance in miles
Intercept = 102.50
Slope = 0.65
Distance in miles, x = 500 miles
y = 102.50 + 0.65(500) + 115
y = 102.50 + 325 + 115
y = 427.5 + 115
y = 542.50
Answer: AB ≅ DE
∠BAC≅∠DEF
Step-by-step explanation:
as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.