Answer:
The answer to your question would be C) y = 3x + 2.
Step-by-step explanation:
The components of a slope intercept form equation is the slope and the intercept. The y-intercept is the term thats by itself which, is +2. This means that the line goes through positive 2 on the plane. For the slope, it is always the coefficient thats next to the x variable. In this case, its 3, meaning that the next point that the line will be on is every 3 steps up and 3 steps towards the right. Hope this helps!
The standard form is 5x-6y=16
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
Therefore 3c = 4d = 180°, c = 60° and d = 45°.
Answer:
94 or 95
Step-by-step explanation:
91 + 95 + 87 + 83 = 356
356/4 =89
average so far is 89
356 + 94 = 450
450/5 = 90
356 + 95 = 451
451/5= 90.2
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.
