Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
Answer:
70
Step-by-step explanation:
7^2 - ( 6-3^3)
PEMDAS
Parentheses first
7^2 - ( 6-3^3)
The exponent in the parentheses first
7^2 - ( 6-27)
7^2 - ( -21)
Now the exponent
49 - (-21)
Now subtract
49 +21
70
Answer:
Step-by-step explanation:
Angle GPE is an inscribed angle. It intercepts arc GFE. The rule for inscribed angles and the arcs they intercept is that the angle is half the measure of the arc it intercepts. Angle P is 96, so that means that arc GFE is twice that. 2(96) = 192. We have arc FG as 92, so that means that arc FE is 192 - 92 which is 100 degrees. The third choice down.
Answer:
17 units
Step-by-step explanation:
Because the triangle is isosceles, 2 of its sides are congruent; namely, the two sides that are opposite of the 2 congruent angles are contruent.
Because of the reason stated above, we can see that AC is congruent to BC, meaning that:
x+9=2x-8
-x -x
9=x-8
+8 +8
17 = x
Notice that BC is equal to x, so 17 is our final answer.
Answer:
Step-by-step explanation:
In the first pattern, there were 6 sticks
In the second pattern, there were 10 sticks.
In the third pattern, there were 14 sticks.
Based on the pattern, we see that each time, 4 more sticks are added and that the initial amount of stick is 6.
Thus: the equation for how many sticks there would be in pattern n is:
# of sticks in pattern n = 6 + 4n
Hope that helps!
