Answer:
A. 37.5°
Step-by-step explanation:
∠SPT can be considered an inscribed angle in the circumcircle. In that circle, arc ST would have a measure of 360°/8 = 45°. Angle y° is half that measure, so is 22.5°.
The external angles of a regular octagon are 360°/8 = 45°, so that is the measure of angles UTW and UVW. It is also the amount by which reflex angle TUV exceeds 180°.
The sum of the interior angles of quadrilateral TUVW is ...
45° +225° +45° +3x° = 360°
Then 3x° = 45° and x° = 15°.
Then the sum of interest is ...
x° + y° = 15° + 22.5° = 37.5°
The pic is really faint. Plz make it eazier to see.
15.
4(x-2) = 2(x-4)+2x
i used the distributive property on the parantheses to then get...
4x-8 = 2x-8+2x
I combined the like terms to then get...
4x-8 = 4x-8
+8 +8
4x = 4x
which simplifies to....
x=x
so the answer to question 15 is x=x
17.
-4(p+1) = -2(8-2p)
I used the distributive property on the parantheses....
-4p-4 = -16+4p
+4 +4
-4p = -12+4p
-4p -4p
-8p = -12
÷-8 ÷-8
p = 1.5
so the answer to question 17 is p = 1.5
hope this helps!!!!
Midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(2,6)...x1 = 2 and y1 = 6
(x,y)...x2 = x and y2 = y
sub
(2 + x) / 2, (6 + y) / 2 = (4,10)
(2 + x) / 2 = 4
2 + x = 4 * 2
2 + x = 8
x = 8 - 2
x = 6
(6 + y)/2 = 10
6 + y = 10 * 2
6 + y = 20
y = 20 - 6
y = 14
so ur other endpoint is (6,14) <==
