Answer:
x = 29
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x + 2x + 2 + 3x + 4 = 180, that is
6x + 6 = 180 ( subtract 6 from both sides )
6x = 174 ( divide both sides by 6 )
x = 29
It’s A because if you turn the shape they are the same
The values of x and y are 99 and 343
<h3>The HCF</h3>
The HCF of numbers is the highest common factors of the numbers
<h3>The LCM</h3>
The LCM of numbers is the lowest common multiple of the numbers
The HCF and the LCM are given as:


Multiply the HCF and the LCM


The product of the numbers x and y equals the product of the HCF and the LCM.
So, we have:

<h3>Prime Factors</h3>
Express 33957 as a prime factor

Rewrite the equation as


By comparison:


Hence, the values of x and y are 99 and 343
Read more about HCF and LCM at:
brainly.com/question/420337
Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.