Answer:
LETTERS
Step-by-step explanation:
In Arithmetic, variables look like LETTERS.
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°
Solution:
Line
intersect at a point W.
Given
.
<em>Vertical angle theorem:</em>
<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>
<u>To find the measure of all the angles:</u>
∠AWB and ∠DWC are vertically opposite angles.
Therefore, ∠AWB = ∠DWC
⇒ ∠AWB = 138°
Sum of all the angles in a straight line = 180°
⇒ ∠AWD + ∠DWC = 180°
⇒ ∠AWD + 138° = 180°
⇒ ∠AWD = 180° – 138°
⇒ ∠AWD = 42°
Since ∠AWD and ∠BWC are vertically opposite angles.
Therefore, ∠AWD = ∠BWC
⇒ ∠BWC = 42°
Hence the measure of the angles are
m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.
To answer this question you need to create 2 equations:
S+C=50
2.50S+3.75C=3.35*(50)
S=50-C -so now you can plug in S into the second equation
2.50*(50-C)+3.75C=167.5
Now you just need to solve this equation, the final answer will be 34 pounds of colombian coffee and 16 pounds of sumatra coffee
Answer:
<h2>x = 16.55</h2>
Step-by-step explanation:
1.06(12.95 + x) = 31.27
<u>Multiply the terms in the bracket</u>
That's
13.727 + 1.06x = 31.27
<u>Subtract 13.727 from both sides</u>
That's
13.727 - 13.727 + 1.06x = 31.27 - 13.727
1.06x = 17.543
<u>Divide both sides by 1.06</u>
That's

We have the final answer as
<h3>x = 16.55</h3>
Hope this helps you