Answer:
Step-by-step explanation:
hope this helps
<h2>
Hello!</h2>
The answer is:
The length of "x" is equal to 4 units.
<h2>
Why?</h2>
To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.
So, for the triangles, we have:
The angle((α)) formed between the base (2.5) and the hypotenuse (5) of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).
We are given:
First triangle,
Second triangle,
So, using the cosine identity, we have:
Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.
Hence, the length of "x" is equal to 4 units.
Have a nice day!
Answer:
5494
Step-by-step explanation:
Assuming all members of each set registered, the total number is ...
2(2697) +3(29) +4(2) +5(1) = 5494
__
Since you're concerned with order of operations, perhaps you want to see the working out.
= 5394 + 87 +8 +5 . . . . perform all the multiplications
= 5481 +8 +5 . . . . . . . . . perform addition left to right
= 5489 +5
= 5494
Answer:
99inches
Step-by-step explanation:
The ratio of the sides of a triangle =2:4:9.
perimeter = 165 inches,
Total ratio= 2+4+9=15
perimeter = 165
Divide the perimeter by total ratio
165/15=11
Each of the sides
= (2×11) =22
(4×11) =44
(9×11)=99
the length of the longest side= 99inches