Step-by-step explanation:
A straight line adds up to 180°
m+3m=180°
4m=180°
m=45°
3m=45°
angle CBD=3(45)
=135°
Answer:
x = 4
Step-by-step explanation:
3x + 2y = 26
y = x + 3
Plug in the equation for y
3x + 2(x + 3) = 26
Multiply the 2 with what is in the parantheses
3x + 2x + 6 = 26
Combine like terms and solve for x
5x + 6 = 26
5x = 20
x = 4
<u>Answer-</u>
<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>
<u>Solution-</u>
The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.
We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.
We know that, the conditional probability of occurrence of A given that B occurs is,



Putting these values,

Answer:
6 13/14
Step-by-step explanation:
Convert 2/7 to 4/14 by multiplying both 2/7 by 2/2, to have a common denominator, then add your mixed numbers.
2/7 x 2/2 = 4/14
4/14 + 9/14 = 13/14
4 + 2 = 6
6 13/14
A rectangle has a perimeter of length + length + width + width.
L = length of the fence.
W = width of the fence.
so the perimeter will be L+L+W+W or 2L+2W or 2(L+W).
now, we know that 120 ⩽ 2(L+W).
we also know that 168 ⩾ 2(L+W)
and we also know that whatever the length is, is twice the width, or L = 2W.