So 3.5(t+6\=7 Divide both sides of the equation by 3.5t+6=2 Move the constant to the right-hand side and change its sign t=2-6 Calculate the difference your final answer is
t= -4
To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.
The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.
5x - 9 = -30
Get all terms with x on one side and the constants on the other
5x - 9 +9 = -30 + 9
Simplify
5x = -21
Now, we can divide both sides by 5 to get our answer of x = -
Answer:
x = 5/6
Step-by-step explanation:
Cross multiply.
18(x - 2) = 3(-7)
Divide both sides by 3.
6(x - 2) = -7
Distribute the 6.
6x - 12 = -7
Add 12 to both sides.
6x = 5
Divide both sides by 6.
x = 5/6
Answer: x = 5/6
Given that <span>Line WX is congruent to Line XY and Line XZ bisects Angle WXY.
We prove that triangle WXZ is congruent to triangle YXZ as follows:
![\begin{tabular} {|c|c|} Statement&Reason\\[1ex] \overline{WX}\cong\overline{XY},\ \overline{XZ}\ bisects\ \angle WXY&Given\\ \angle WXY\cong\angle YXZ & Deifinition of an angle bisector\\ \overline{XZ}\cong\overline{ZX}&Refrexive Property of \cong\\ \triangle WXZ\cong\triangle YXZ&SAS \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7C%7D%0AStatement%26Reason%5C%5C%5B1ex%5D%0A%5Coverline%7BWX%7D%5Ccong%5Coverline%7BXY%7D%2C%5C%20%5Coverline%7BXZ%7D%5C%20bisects%5C%20%5Cangle%20WXY%26Given%5C%5C%0A%5Cangle%20WXY%5Ccong%5Cangle%20YXZ%20%26%20Deifinition%20of%20an%20angle%20bisector%5C%5C%0A%5Coverline%7BXZ%7D%5Ccong%5Coverline%7BZX%7D%26Refrexive%20Property%20of%20%5Ccong%5C%5C%0A%5Ctriangle%20WXZ%5Ccong%5Ctriangle%20YXZ%26SAS%0A%5Cend%7Btabular%7D)
</span>
If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;
<em>X' = (3, -1)</em>
<em>Y' = (2, -2)</em>
<em>Z' = (-1, -3)</em>
<h3>Rotation of coordinates</h3>
If the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;
(x, y) - > (y, -x)
From the given triangles, the coordinate points are expressed as
<em>X = (1, 3)</em>
<em>Y = (2, 2)</em>
<em>Z = (3, -1)</em>
If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;
<em>X' = (3, -1)</em>
<em>Y' = (2, -2)</em>
<em>Z' = (-1, -3)</em>
Learn more on rotation here: brainly.com/question/26249005
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