Answer:
AC = 40
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles. The interior angle of a quadrilateral sums up to 360°.
A parallelogram is a quadrilateral (has four sides and four angles) in which has two pair of opposite sides are parallel to each other. The diagonals of a parallelogram bisect each other.
Given parallelogram ABCD:
Diagonals AC and BD bisect each other at point E. Hence:
AC = AE + CE (line segment addition postulate)
Also:
AE = CE (diagonal BD bisects AC at point E).
Hence; x + 16 = 5x
5x - x = 16
4x = 16
x = 4
AE = x + 16 = 4 + 16 = 20; CE= 5x = 5(4) = 20
AC = AE + CE = 20+ 20 = 40
<span><span>3x</span><span>(<span><span>x2</span>+4</span>)</span></span><span>=<span><span>(<span>3x</span>)</span><span>(<span><span>x2</span>+4</span>)</span></span></span><span>=<span><span><span>(<span>3x</span>)</span><span>(<span>x2</span>)</span></span>+<span><span>(<span>3x</span>)</span><span>(4<span>)</span></span></span></span></span><span>
3<span>x3</span></span>+<span>12x</span>
Answer:
the third choice is the answer.
Step-by-step explanation:
the chance of recieve a blue pen
= 0.008
the chance of recieve a blue tote bag
= 0.04
0.008 < 0.04
Answer:
6+3-8-7 = 8
1+4+10-8 = 7
3-3+9+1 = 10
10-2+10-8 = 10
2+0+1+2+3 = 8
10-1-2-3+4 = 8
Step-by-step explanation:
i don't know if these are supposed to be easy or not lol but thanks for the points :p
Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.
The equation of a line passing through the points
is given by:
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:
![y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6](https://tex.z-dn.net/?f=y-30%3D%5Cfrac%7B90-30%7D%7B7-2%7D%28x-2%29%5C%5C%5C%5Cy-30%3D12%28x-2%29%5C%5C%5C%5Cy-30%3D12x-24%5C%5C%5C%5Cy%3D12x%2B6)
Therefore the cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 48 + 6
y = 54 cents