Answer:
D) SAS
Step-by-step explanation:
Given:
Segment XY = segment VW
Segment XY ║ segment VW
∠ VXY = ∠ WVX (Alternate Interior angle Theorem)
Segment VX ≅ segment VX (relative property of Congruence)
Solution:
In △VWX and △XYV
Segment VX ≅ segment VX
∠ WVX = ∠ VXY
Segment XY = segment VW
∴ By Side Angle Side Congruence Property
△VWX ≅ △XYV by SAS
Answer:
Option C: 6x-5y=15
Explanation:
y = -5/6x +8
8 is the <u>y-intercept</u>
-5/6x is the <u>slope</u>
when a slope is in <u>fraction form</u> the numerator is the y direction over the denominator how much the line changes in the x direction
::: (\_(\ Hope
*: (=' :') this
•.. (,('')('') helped :)
-3(x-14)+9x=6x+24
-3x+42+9x=6x+24
-3x+9x-6x=-24-42
0=-18
Let
A(4,5) B(8,7) C(12,9) D(16,11)
1) Find the slope AB
m=(y2-y1)/(x2-x1)
m=(7-5)/(8-4)=0.5
2) Find the slope BC
m=(9-7)/(12-8)=0.5
3) Find the slope CD
m=(11-9)/(16-12)=0.5
The points represent a linear function
so
<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>
we know that
y-y1=m*(x-x1)
y-5=0.5*(x-4)
y=0.5*x-2+5
y=0.5*x+3
therefore
<u>the answer is</u>
The equation is equal to y=0.5*x+3
Answer:
181 mi^2
Step-by-step explanation:
Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;
Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.
Dimensions of circle: r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.
Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2
