Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!
Answer: The answer would be 9e-33
Step-by-step explanation:
Answer:
<h2>(2, 9)</h2>
Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y > 3x + 2
for (-2, -7) → x = -2, y = -7
-7 > 3(-2) + 2
-7 > -6 + 2
-7 > -4 FALSE
==========================
for (-1, -5) → x = -1, y = -5
-5 > 3(-1) + 2
-5 > -3 + 2
-5 > -1 FALSE
==========================
for (2, 8) → x = 2, y = 8
8 > 3(2) + 2
8 > 6 + 2
8 > 8 FALSE
===========================
for (2, 9) → x = 2, y = 9
9 > 3(2) + 2
9 > 6 + 2
9 > 8 TRUE
