Answer:
67240
Step-by-step explanation:
round 36 to the nearest 10. which is 40
It goes up by 1.05 every time.
Answer:
Clare didn't change the inequality symbol in the last step to >
Step-by-step explanation:
Given inequality is:
![-4x+3](https://tex.z-dn.net/?f=-4x%2B3%3C23)
Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.
The answer must have been x > -5
The correct way to solve is:
![-4x+3](https://tex.z-dn.net/?f=-4x%2B3%20%3C23%5C%5C-4x%3C20%5C%5Cx%3E-5)
Hence,
Clare didn't change the inequality symbol in the last step to >
Let us first define Hypotenuse Leg (HL) congruence theorem:
<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>
Given ACB and DFE are right triangles.
To prove ΔACB ≅ ΔDFE:
In ΔACB and ΔDFE,
AC ≅ DF (one side)
∠ACB ≅ ∠DFE (right angles)
AB ≅ DE (hypotenuse)
∴ ΔACB ≅ ΔDFE by HL theorem.