Answer:
The detailed work and solution can be found in the attachment
Step-by-step explanation:
A work crew has a new pump and an old pump. The new pump can fill a tank in 5 hours, and the old pump can fill the same tank in
1 answer:
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Answer:
Review the explanation
Step-by-step explanation:
The triangles ΔABC and ΔBAD are congruent, establishing:
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Now, consider triangles AEC and BED. In these triangles, we have:
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (due to ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (being vertical angles).
Therefore, ΔAEC ≅ ΔBED, which leads to the conclusion that:
AE ≅ EB.
This indicates that line segment CD bisects segment AD.
Answer:
The accurate representations are:
- 6x + 15 < 10 - 5x ⇒ 3rd option
A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)
Step-by-step explanation:
Given the inequality is -3(2x - 5) < 5(2 - x)
First, simplify both sides:
∵ -3(2x - 5) = -3(2x) + -3(-5)
Remember that (-)(-) results in (+)
Thus, -3(2x - 5) = - 6x + 15
∵ 5(2 - x) = 5(2) + 5(-x)
Remember that (+)(-) results in (-)
Then, 5(2 - x) = 10 - 5x
Now we have: - 6x + 15 < 10 - 5x
Subtract 15 from both sides
So: - 6x < -5 - 5x
Add 5x to both sides
Thus, - x < - 5
Note that since the coefficient of x is negative, we reverse the inequality sign when dividing both sides by it
∵ The coefficient of x is -1
Therefore, dividing both sides by -1 gives us x > 5
The accurate representations are:
- 6x + 15 < 10 - 5x ⇒ 3rd option
A circle is open at 5 with a bold line extending right from 5 ⇒ 4th option (see diagram)
