Answer:
Step-by-step explanation:
Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.
We use -7 as the divisor in synth. div. This comes from the factor (x + 7):
-7 / 1 3 2 -8
-7 28 -210
-------------------------
1 -4 30 -218
Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.
Answer:
D. CPCTC
Step-by-step explanation:
THere is a statement column proof given for angle bisector construction.
Statement Justification
Angle MBP is congruent to CPCTC
angle NBP
Since the previous line proved congruence for the two triangles by SSS,
the next step is corresponding angles are equal, by corresponding parts of congruent triangles are congruent
So we have the missing justification as CPCTC
D, CPCTC
Answer: d
Step-by-step explanation:
90-70= 20
angle 4= 20
90-50= 40
angle 6= 40
90-15= 75
angle 8= 75
Answer:
Step-by-step explanation:
a) Perimeter of triangle = x - 3 + 4x + 3 + 3x - 5
= 8x - 5
Perimeter of rectangle = 2 * (2x + 2) + 2* (4x - 1/2 )
= 4x + 4 + 8x - 1
= 12x + 3
b) 8x - 5 : 12x + 3 = 5 :9
9* ( 8x - 5) = 5 * ( 12x + 3)
72x - 45 = 60x + 15
72x - 60x = 15 + 45
12x = 60
x = 60/12
x = 5
c) 2x + 2 = 2*5 + 2 = 10 +2 =12
4x - 1/2 = 4*5 - 1/2 = 20 - 1/2 = (40- 1)/2 = 39/2
Area of rectangle = length * width = 12 * 39/2 = 6 * 39
= 234 Sq.cm
