Answer:
m=0
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
D. 20°
Step-by-step explanation:
The entire angle = 90 degrees you can tell that from the corner indicator
Set the two expressions equal to 90
(3x+10) + (x) = 90
Combine like terms
4x + 10 = 90
Subtract 10 from both sides to cancel it out
4x = 80
Divide each side by 4
x = 20
Check it by substituting x for 20
3(20) + 10 = 70 x = 20 70 + 20 = 90
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
Answer:
9.570925464=9.56
Step-by-step explanation:
multiply the numbers:
109.25714×0.0876=9.569.570925464=9.56
(Just so you know i put this answer in the other question you asked.)
Hope this helps
Answer:
C.
If the line doesn't pass through the origin, the easiest point to pick is the origin (0,0). Substitute into your inequality.
y > 5x + 1
0 > 5(0) + 1
0 > 1 which is a false statement.
So, you shade the side of the line on which (0,0) doesn't lie.
If the statement would have be true, you shade the side of the line on which (0,0) lies.
