Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
First, change this equation to y-intercept form:
-4x+7=2y-3
2y = -4x+10
y= -2x + 5
The slope is -2, which is the coefficient for x in y-intercept form.
Answer:
she got 33.50 more than she did so she would have over 33% increase
Direct variation always has the relationship y=kx. Indirect inverse variation always has the relationship y=k/x.
In this case y=kx, where k=6, so this is a direct variation.
<h3>Answer:</h3>

<h3>Solution:</h3>

<h3>Explanation:</h3>
Angle BDR is congruent to angle QDC because they share common angles. Angles BRD and QCD are congruent because lines BR and QC are <em>parallel</em> and line DR intersecting them creates <em>two corresponding angles</em>, BRD and QCD. Because of the reasons I mentioned, Triangles DBR and DQC are similar by Angle Angle Similarity Postulate and because these two triangles are similar they must share the same scaling factor of corresponding sides (example:
). So
.