Abag contains 26 tiles with a letter on each, one tile for each letter of the alphabet. what is the probability of reaching into the bag and randomly choosing a tile with one of the letters in the word english on it or randomly choosing a tile with a vowel on it? a) 5/13b)12/26c) 4/13d) none of the answers listed

Option A is the answer.

Step-by-step explanation:

The set of letters from which we have to draw is:

E, N, G, L, I, S, H

And vowels i.e A, E, I, O, U

But we have E and I in ENGLISH, so we are left with three vowels : A, O, U  

So, total letters are :

E, N, G, L, I, S, H, A, O, U

Total letters are 10.

Hence, the probability of picking one tile with one letter out of 26 is :

Option A is the answer.

answer: the value of x is 7cm

step-by-step explanation:

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1