Answer:
y = 2x - 19
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = (x , y) = 1
m = slope = 2
x = (x , y) = 10
b = y-intercept
Plug in the corresponding numbers to the corresponding variables:
1 = 2(10) + b
First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.
First, multiply 2 with 10:
1 = (2 * 10) + b
1 = 20 + b
Next, subtract 20 from both sides of the equation:
1 = b + 20
1 (-20) = b + 20 (-20)
1 - 20 = b
b = -19
Plug in 2 for m, and -19 for b.
y = 2x - 19 is your slope-intercept form.
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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
#SPJ1
Answer:
87.5
Step-by-step explanation:
x=100%
14=16%
(14×100)/16=x
x=87.5
Answer:
x = -1
Step by step explanation:
Distribute 6
6x-12= -18
Add 12 to both sides
6x= -6
Divide both sides by 6
x= -1
Hope this helps
Hi there!
Okay, so here are the steps to solving:
1) Simplify both sides of the equation.
-1/40x = -9
2) Multiply both sides by 40/(-1).
(40/-1) * (-1/40x) = (40/-1) * (-9)
x = 360
The final answer is x = 360.
Hope this helps!
