Answer:
three and four tenths
Step-by-step explanation:
<span>Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.
In the case above, ΔDWP is presumed to be congruent to </span><span>ΔMJS. Rigid motions involved here are translation and rotation.
In translation, you are basically sliding/moving the figure. </span>ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.<span>
Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of </span>ΔDWP to ΔMJS<span>.
To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.
side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units
Therefore, we can say that </span>ΔDWP is congruent to ΔMJS.<span>
</span>
Answer:
Step-by-step explanation:
50% = 0.5
(5 * 5) + (0.5 * 2) =
25 + 1 =
26 <===
<h3><u>The value of x is equal to -6.</u></h3><h3><u>The value of y is equal to 3.</u></h3>
8x + 2y = -42
4x + 7y = -3
In the first equation, subtract 8x from both sides.
2y = -42 - 8x
Divide all terms by 2.
y = -21 - 4x
Now that we have a value of y, we can plug it into the second equation to solve for x.
4x + 7(-21 - 4x) = -3
Distributive property.
4x - 147 - 28x = -3
Combine like terms.
-24x - 147 = -3
Add 147 to both sides.
-24x = 144
Divide both sides by -24.
x = -6
Now that we have a true value for x, we can plug it into either equation to solve for y.
8(-6) + 2y = -42
-48 + 2y = -42
Add 48 to both sides.
2y = 6
Divide both sides by 2.
y = 3