(-3,4)(-6,-1)
The easy way
look at the y's = 4 and -1 the difference is 5 now /2 = 2.5
so the y midpoint is 2.5 from each point or 1.5
look at the x's = -3 and -6 the differebce is 3 now /2 = 1.5
so its 1.5 from each point or -4.5
so midpoint is (-4.5, 1.5) or (-9/2, 3/2) or C
the formula way:
for x
x1+x2/2
-3+-6/2
-9/2 (which is -4.5)
for y
y1+y2/2
4+-1/2
3/2 (which is 1.5)
Answer:
Step-by-step explanation:
The radius of the circle is 7 cm.
The two legs of the triangles are 7cm as well.
Area of a trinagle is ( base × height )/2.
Multiply the value by 2 since there are two triangles.
Calculate the area of the circle.
The radius is given.
Take 
as 
Subtract the area of the two triangles from the area of the whole circle.
The area of the shaded part is 105 cm². The total area of the shape is 154cm².
Answer:
1 - G;
2 - R;
3 - E;
4 - D;
5 - T;
6 - J;
7 - O;
8 - B;
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.
1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360 => X = 360 - 100 - 118 - 53 = 89 => X = 89
2) (5 - 2) * 180 = 540 => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232 => X = 116
3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115 => X = 115
4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140 => X = 140
5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72 => X = 72
6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110
7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360 => X = 360 - 102 - 39 - 107 = 112 => X = 112
8) (5 - 2) * 180 = 540; Linear pair angle for 84 is 180 - 84 = 96; Linear pair angle for 79 is 180 - 79 = 101; Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540 => X = 540 - 90 - 96 - 101 - 146 = 107 => X = 107
Answer:
324
Step-by-step explanation:
Answer:
Let w be the width. Then the length is 2w-4. So:
w(2w-4)=96
2w²-4w-96=0
w²-2w-48=0
(w-8)(w+6)=0
w=8 or -6
Throwing out the negative value for w, we get a width of 8 yds, and a length of 12 yds. ☺☺☺☺
