A pound of chocolate costs 6 dollars. mai buys p pounds . write an equation to represent the total cost c that mai pays
2 answers:
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Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.
Answer:
m∠C=30°
Step-by-step explanation:
we know that
<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal
so
m∠C=m∠D
substitute the given values
Solve for x
<em>Find the measure of angle C</em>
m∠C=(x+5)°
substitute the value of x
m∠C=(25+5)=30°