.Solve for x 5 x − 1 = 6 x − 9
2 answers:
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Answer:
The answer is given below
Step-by-step explanation:
a)
Let us assume Patricia baked x number of cakes. She put half of the cupcakes (i.e x/2) equally into 6 big boxes.
6 big boxes contained cakes, therefore 1 big box would contain
cakes.
Let us assume she put the other half into 14 small boxes, therefore each small box would contain cakes.
There were 45 cupcakes in 3 big boxes and 8 small boxes altogether. That is:
Therefore Patricia baked 84 cup cakes
b)
She sold all the small boxes and collected $189, i.e she sold 14 small box for $189. Each small box = $189/14 = $13.5
It is an isosceles triangle which means that side BD=BC, The angles will be also equal i.e. Angle B= Angle C
<h3>Now,</h3>- Angle B = 4x+19
- Angle C = 2x+33
Now, We will find ∠D with the help of angle sum property of triangle
<em>The measure of angles are; 47°,47°,86° respectively</em><em>.</em><em>.</em><em>.</em>