Answer:
Step-by-step explanation:
Given: ΔDFE is isosceles with base FE; FB ≅ EC.
To prove: ΔDFB ≅ ΔDEC
Proof: It is given that ΔDFE is isosceles with base FE; FB ≅ EC, thus
From ΔDFB and ΔDEC, we have
FB≅EC (Given)
DF≅DE (Definition of isosceles triangle)
∠DFE≅∠DEF⇒∠DFB≅DEC (because DF≅DE, therefore base angles are equal)
Thus, by SAS rule,
ΔDFB ≅ ΔDEC
Statements Reasons
1. FB≅EC (Given)
2. DF≅DE (Definition of isosceles triangle)
3.∠DFE≅∠DEF
⇒∠DFB≅DEC (because DF≅DE, therefore base angles are equal)
4. ΔDFB ≅ ΔDEC SAS rule
I thought it was 100 because 5x2=10 10 to the 2nd power is 100 because 10x10=100
Answer:
x-7 represents x moved 7 units to the left.
Step-by-step explanation:
The translation: (x, y) → (x - 7, y - 4) was performed on a triangle
x is translated into x-7. 7 is subtracted from x . It means x is moved 7 units to the left
y is translated into y-4. 4 is subtracted from y. It means y is moved 4 units down.
So x-7 represents x moved 7 units to the left.
Answer:
1/12
Step-by-step explanation:
Answer:
x = 30/7
Step-by-step explanation:
2/3x = − 1/2x + 5
multiply by 6 to clear the fractions
4x = -3x + 30
add 3x to both sides
7x = 30
Divide both sides by 7
x = 30/7