Answer:
5 d) 9 1/3
6 d) 2
Step-by-step explanation:
Proportions:
5
7 ⇒ 4
BY ⇒3
BY = 7*4/3
BY = 28/3
28/3 = 27/3 + 1/3 = 9 1/3
BY = 9 1/3
6
12 ⇒ 3
8 ⇒ SX
SX = 3*8/12
SX = 2
Answer:
Step-by-step explanation:
Hope this helps
Answer:
How much time does it take for one book tho?
Step-by-step explanation:
If it takes two minutes for one book then it would take 1,500 minutes for all books to be labled.
SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.
Triangle WVU & Triangle UBW are our two triangles.
The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.
For SSS, we need to know that sides WV and UB are congruent.
Hope this helps!
Answer:
Option C. x^2-18x-81
Step-by-step explanation:
A. 16a^2-72a+81
x^2-2xy+y^2=(x-y)^2
x^2=16a^2→sqrt(x^2)=sqrt(16a^2)→x=sqrt(16) sqrt(a^2)→x=4a
y^2=81→sqrt(y^2)=sqrt(81)→y=9
2xy=2(4a)(9)→2xy=72a equal to the second term of the expression, then we can factor as a perfect square trinomial:
16a^2-72a+81=(4a-9)^2
B. 169x^2+26xy+y^2
a^2+2ab+b^2=(a+b)^2
a^2=169x^2→sqrt(a^2)=sqrt(169x^2)→a=sqrt(169) sqrt(x^2)→a=13x
b^2=y^2→sqrt(b^2)=sqrt(y^2)→b=y
2ab=2(13x)(y)→2ab=26xy equal to the second term of the expression, then we can factor as a perfect square trinomial:
169x^2+26xy+y^2=(13x+y)^2
C. x^2-18x-81
a^2+2ab+b^2=(a+b)^2
This expression does not factor as a perfect square trinomial because the third term is negative (-81).
D. 4x^2+4x+1
a^2+2ab+b^2=(a+b)^2
a^2=4x^2→sqrt(a^2)=sqrt(4x^2)→a=sqrt(4) sqrt(x^2)→a=2x
b^2=1→sqrt(b^2)=sqrt(1)→b=1
2ab=2(2x)(1)→2ab=4x equal to the second term of the expression, then we can factor as a perfect square trinomial:
4x^2+4x+1=(2x+1)^2
