Answer:
(A) 15 centimeters
Step-by-step explanation:
A midsegment of a triangle is always 2 things:
Half the size of the bottom of the triangle (in this case AC)
Parallel to the bottom of the triangle.
Since ABC is an equilateral triangle, we know that EVERY side is 30cm, including AC.
So the midsegment of ABC, LM, must be 15 cm.
Hope this helped!
Answer:
(0,3) and (7,0) are solutions.
Step-by-step explanation:
In a pair of coordinates, they are always listed as (x,y). Since this is the case, you plug in each coordinate to their respective places.
For (0,3)
3(0) + 7(3) = 21
0 + 21 = 21
For (7,0)
3(7) + 7(0) = 21
21 + 0 = 21
To double check that (1,2) isn't a solution:
3(1) + 7(2) = 21
3 + 14 = 21
17 = 21 X
This doesn't work.
Marking as Brainliest is much appreciated.
The functions and their properties are
- The function f(x) has its vertical asymptote at x = 0
- The x-intercept of the function h(x) is (0.5,0)
<h3>How to match the functions and their properties?</h3>
The equations of the functions are given as:
f(x) = ln(x)
g(x) = -1/2f(x - 2)
h(x) = f(x - 1/2)
From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0
h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)
This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)
Hence, the x-intercept of the function h(x) is (0.5,0)
Read more about functions at:
brainly.com/question/4025726
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Answer:
Step-by-step explanation:
we have
To find out g(x+h) substitute the variable x by the variable (x+h) in the function g(x)
so
Evaluate
we have
substitute in the expression
therefore
Answer: 107 degrees.
Step-by-step explanation:
A quadrilateral is defined as a 2-dimensional closed shape which has four sides and four vertices.
By definition the interior angles of a quadrilateral add up 360 degrees.
We know that this quadrilateral has 2 right angles (which are angles that measure 90 degrees) and we know that the measure of the third angle is 73 degrees.
Let be "x" the measure of the fourth angle.
Then you can write this expression:
And finally solve for "x":
