Answer:
Step-by-step explanation:
![x^4+4x^3-27x-108\\=x^3(x+4)-27(x+4)\\=(x+4)(x^3-27)\\=(x+4)[x^3-3^3]\\=(x+4)(x-3)(x^2+3x+3)](https://tex.z-dn.net/?f=x%5E4%2B4x%5E3-27x-108%5C%5C%3Dx%5E3%28x%2B4%29-27%28x%2B4%29%5C%5C%3D%28x%2B4%29%28x%5E3-27%29%5C%5C%3D%28x%2B4%29%5Bx%5E3-3%5E3%5D%5C%5C%3D%28x%2B4%29%28x-3%29%28x%5E2%2B3x%2B3%29)
100 - 5d + 10d = 130
5 x 20 = 100
5 x -d = -5d
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Answer:
The scale factor is 0.5
It is a reduction
Step-by-step explanation:
∵ The length of the side of the first Δ = 3.4
∵ The length of the side of the second Δ = 1.7
∵ 1.7/3.4 = 1/2 = 0.5
∴ The scale factor is 0.5
∵ The second Δ is smaller than the first Δ
∴ It is a reduction
For question number ten, the first polynomial is equivalent to 8x^8, the second is 6x^8, the third is 8x^8, and the fourth is 8x^8. So, you should circle the second second term.
For question number 11, the first term is 3^12, the second term is 3^20, the third term is 3^12, and the fourth term is 3^12. So you should circle the second term.
For question number 12, the first term is 49, the second term is 49, and the third term is -49, and the fourth term is -49. So, you should circle the first two or last two.
