The scale factor of the similar triangles is: 1/2. The value of x is: 4.5 cm.
<h3>Scale Factor of Similar Triangles</h3>
Scale factor of similar triangles is the ratio of their corresponding sides.
Given the two similar triangles in the diagram attached below, we have the following scale factor as:
Scale factor = 2/4 = 1/2
Therefore:
x = 1/2 × 9
x = 4.5 cm.
Therefore, the scale factor of the similar triangles is: 1/2. The value of x is: 4.5 cm.
Learn more about scale factor on:
brainly.com/question/2826496
11/10 is closer to 1.
To solve for this, give them common denominators. Lets make it 80 for this one.
To get 80, you multiply 8 by 10, so you have to do the same to the number on top. This gives you 70/80.
To get 80 for the second fraction, you multiply by 8 and get 88/80.
Now lets take the numbers on top and subtract them from 80.
88 - 80 = 8
80 - 70 = 10
8 is less than 10, and so 11/10 is closer.
Answer:
C ( h(x) = x^2 - 6x)
Step-by-step explanation:
Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:
h(x) = (x - a )^2 - b
(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is
h(x) = (x - 3)^2 - 9.
This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question. By squaring x - 3, we get:
x^2 - 6x + 9 - 9 =
x^2 - 6x.
Therefore, the answer is:
C (h(x) = x^2 - 6x).
Answer:
12 bats
Step-by-step explanation:
Let us number the bat caves from 1 to 45 and divide them into 5 parts:
a) 1
b) 2 to 29 (
bats)
c) 30
d) 31 to 44 (
bats)
e) 45
It is given that any 7 caves in a row has 77 bats. Hence, the total number of bats in part b and d = 
bats.
There remains 
bats in cave number 1, 30 and 45.
Now, our question demands the maximum possible number of bats in cave 30.
Minimum number of bats in a cave is 2. So we shall put 2 bats in the last cave, which gives us bats in the first cave.
Therefore, the number of bats in cave number 30 = 
bats.
Answer:
Vertex=(-3,6) and Y intercept is 15/(0,15)
Step-by-step explanation:
