Answer:
76 unit
Step-by-step explanation:
because added the rectangle size and added the 60 with 16
Answer:
See below
Step-by-step explanation:
Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.
a) ∀ dinosaur x, x is extinct.
b) ∀ real number x, x is positive, negative, or zero.
c) ∀ irrational number x, x is not an integer.
d) ∀ logician x, x is not lazy.
e) ∀ integer x, x²≠ 2,147,581,953.
f) ∀ real number x, x²≠ -1.
In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
X=8 my photo has the work done
Answer:
Y=m6-6
Step-by-step explanation:
Original equation for slope-intercept.
Y=MX+B
Substitute given values
X=slope
B= Y-intercept
Given slope:
6
Given y intercept:
-6
Simply plug in given values into the original equation
y=m6-6
