<span>(a) Triangles ABC and PQR are similar triangles since they both share 2 congruent angles and therefore their 3rd angle is also congruent. So the triangles are similar due to the AAA similarity theorem.
(b) The area of triangle PQR is 1 million times larger than the area of triangle ABC. This can be shown since the area of a triangle is 1/2 base times height. You can show that the base of triangle PQR is 1000 times larger than the base of triangle ABC. And since all the sides are in proportion to each other, the height of triangle PQR is also 1000 times larger than the height of triangle ABC. And since 1000 times 1000 equals 1,000,000 or 1 million, the area of triangle PQR is 1 million times larger than triangle ABC.</span>
The value of "x" is 
<em><u>Solution:</u></em>
Given f(x) = 4x - 6
g(x) = 8x + 4
<em><u>To find: value of x when f(x) = g(x)</u></em>
We can equate f(x) and g(x) as per given statement and solve for x
f(x) = g(x)
<em><u>Substituting the values of f(x) and g(x) in above expression,</u></em>
4x - 6 = 8x + 4
4x - 8x = 4 + 6
-4x = 10
On solving,
Thus value of "x" is
From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.
You can multiply opposite sides, like so:
y*7 = 8*3
7y = 24
y = 24/7
Answer:
C:44
Step-by-step explanation:
To find the perimeter, you do length+length+width+width
So
13+13+9+9=44
Another formula:
L2+W2 (length x 2 + width x 2)
