Answer:
Area = 50 cm²
Step-by-step explanation:
Area of a trapezium ABDE = ½(a + b)h
where,
a = BD = 2.5 cm
b = AE = 7.5 cm
h = DE = ?
We need to find DE ti be able to calculate the area.
DE = CE - CD
DE = CE - 5
Since ∆ACE is similar to ∆BCD, therefore:
AE/BD = CE/CD
Plug in the values
7.5/2.5 = CE/5
Cross multiply
CE*2.5 = 7.5*5
CE*2.5 = 37.5
Divide both side any 2.5
CE = 37.5/2.5
CE = 15
Thus, DE = CE - 5 = 15 - 5
DE = 10
✅Area of trapezium = ½(BD + AE)DE
= ½(2.5 + 7.5)*10
= ½(10)10
= 50 cm²
Answer:
x < 1
Step-by-step explanation:
To solve for x, we need to get x by itself
2(5 - x)>8
Distribute the 2
2*5 -2*x >8
10- 2x >8
Subtract 10 from both sides
10-10 -2x >8 -10
-2x > -2
Divide both sides by -2
-2x/-2> -2/-2
Since we divided by a negative number, we must flip the inequality sign
x < 1
Answer:
1. Use the integer multiplication facts in their integer bubble to create six related integer division facts.
2.The quotient of any two integers (with a nonzero divisor) will be a rational number. If and are integers, then - (p/q)= (---)=(----)
3. Mrs. McIntire, a seventh-grade math teacher, is grading papers. Three students gave the following responses to the same math problem: 1/-2 -(1/2) -1/2
4.On Mrs. McIntire’s answer key for the assignment, the correct answer is −0.5. Which student answer(s) is (are) correct? Explain.
Step-by-step explanation:
