Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1,4) and (x₂, y₂ ) = (- 5, 3)
d = 
= 
= 
= 
≈4.12 ( to 2 dec. places )
To find the midpoint use the midpoint formula
[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Using the same points as above then
midpoint = [0.5(- 1- 5), 0.5(4 + 3 ) ] = [0.5(- 6), 0.5(7) ] = (- 3, 3.5 )
Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest.
Interest earned in local bank = 2000 * 22.2% = 2000 * 0.022 = 44
Putting the money in an online savings account will earn him 4.85% annual interest
Interest earned in online account = 2000 * 4.85% = 2000 * 0.0485 = 97
He will be charged $3 every time he makes an ATM withdrawal.
In online account, the interest is 97 . If he withdraws 18 times then
Total ATM fee is 18 * 3= 54 . so 97 - 54 = 43
43 is lower than 44 that is interest of local account.
Therefore, 18 ATM withdrawals make local savings account to be a better deal than the online savings account every year.
Answer:
Points she needs to earn on the next game = 14
Step-by-step explanation:
Martiza scores for six games were 11, 12,10,8,14, and 15.
(11+12+10+8+14+15+x)/7=12
(70+x)/7 = 12
Multiply both sides by 7
(70+x)/7 *7 = 12*7
70+x = 84
Combine the constants:
x=84-70
x = 14
Points she needs to earn on the next game = 14....
Answer:
Take an example in a triangle:
The orthocenter is the intersection point of 3 altitudes.
The centroid is the intersection point of 3 medians.
The circumcenter is the intersection point of 3 bisectors.
Centroid, orthocenter, and circumcenter are collinear.
Hope this helps!
:)
