The answer is option "A, 13".
As both triangles are similar.
<span>ΔRST ≅ ΔXYZ.
it means RS = XY
YZ = ST
and XZ = RT
Now given that RS = 13 which is equal to XY.
Thus XY is equal to 13.</span>
Answer:
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step-by-step explanation:
we have

Distribute the number 2

Verify each case
case A) 3(b+2c)
distribute the number 3


therefore
Choice A is not equivalent to the given expression
case B) (b+3c)+(b+3c)
Combine like terms


therefore
Choice B is equivalent to the given expression
case C) 2(b)+2(3c)
Multiply both terns by 2


therefore
Choice C is equivalent to the given expression
Answer:
I think there would be 86 blue marbles
x=4(106 - x ) + 6
x= 424 - 4x + 6
5x= 430
x= 86 blue marbles
Tell me if I'm wrong, hope this helps.
Answer:
(x-2) (4x^2+1)
Step-by-step explanation:
4x^3-8x^2+ x-2
Factor 4x^2 out of the first group and 1 out of the second group
4x^2 (x-2) +1(x-2)
Factor out (x-2)
(x-2) (4x^2+1)
Answer:
the larger number is 50
Step-by-step explanation:
Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:
"the sum of two numbers is 80" can be written as:

Now the second phrase:
"The ratio of those two numbers is 3/5"
Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio
, and solve for x:

Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:

Therefore the larger number (y) equals 50.