You're basically multiplying the number and the variable with the number on the outside of the parenthesis.
So, 8(x + 7). You multiply 8 and the variable to get 8x. The same with '7'.
8 times 7 is 56.
Answers:
A) 8x + 56
B) 66 + 6x
C) 8x + 8
2 lines in a plane can have these positions:
i) they can be
parallel, if they share no common point.
ii) are
intersecting, if they have one common point.
ii) they are
coincident if they have 2 common points.
AB and EB share 1 common point, B, therefore they are
Coincident.
Answer: $181,500
Step-by-step explanation:
If amount paid for house and one acre of land = 165,000
Then, additional acre of land is 4.3 acres- 1 acre of land purchased with the house = 3.3 acres of land
If additional acre goes for 5,000 per acre
1 acre = 5,000
3.3 acres = 5,000 x 3.3 = $16,500
Total amount paid for the land and the land
= cost of house and land + cost of additional 3.3 acres of land
= 165,000 + 16,500
= $181,500
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
brainly.com/question/28021872
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