FIRST TO ANSWER WILL BE MARKED BRAILIEST! WORTH 20 POINTS!
1 answer:
Answer:
The score on the next test must be between 86 and 98, inclusive
Step-by-step explanation:
Write an inequality using the average:
86 ≤ ≤ 90
Solve for x:
multiply everything by 3:
258 ≤ x + 83 + 89 ≤ 270
258 ≤ x + 172 ≤ 270
subtract 172 from everything:
86 ≤ x ≤ 98
The score on the next test must be between 86 and 98, inclusive
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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.
