Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

Substituting the given expression for each segment in the first equation, we get:

Solving the above equation for x, we get:

Substituting x=10 in the equation for segment EI, we get:

Therefore:

Now, to determine the measure of angle IEH, we notice that:

therefore,

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

<h2>Answer: </h2>
Answer:
24x + 8
Step-by-step explanation:
4 + 16 - 12(1 + 2x)
Solve
Show steps
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We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.
Distribute :
4 + 16 - 12(1 + 2x)
4 + 16 - (12(1) + 12(2x))
4 + 16 - 12 + 24x
Use PEMDAS (Add left to right) :
4 + 16 - 12 + 24x
20 - 12 + 24x
8 + 24x
24x + 8
Answer:
502m
Step-by-step explanation:
let x and y represent the length and breadth of rectangular meadow respectively.
Given,
Perimeter of the meadow =1004m
or,2(l+b)=1004m
or2(x+y)=1004m
orx+y=1004m/2
or,x+y=502m
i.e sum of length and breadth
The value of h(8) in h(x)= 6x - 17 is 31
<h3>
</h3>
What are functions:
Functions relate input and output. Therefore, a function takes elements from a set (the domain) and relates them to elements in a set (range).
h(x)= 6x - 17
Let's find h(8)
h(8) = 6(8) - 17
h(8) = 48 - 17
h(8) = 31
learn more on function here:brainly.com/question/15615479?referrer=searchResults