Answer: The answer is x = 6 units.
Step-by-step explanation: Please refer to the attached diagram
The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.
Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.
Hence if AD = DB and
AE = EC, and
DE = BC
Then, x - 3 = ½x
(½x can also be expressed as x/2)
x - 3 = x/2
By cross multiplication we now have
2(x - 3) = x
2x - 6 = x
By collecting like terms we now have
2x - x = 6
x = 6
To find the lateral surface area of a pyramid, you can find the area of each triangle, A = 1/2bh or A = 1/2lw, then multiply by the number of triangles, which would be based on the number of sides of the base; or you can take half the perimeter and multiply by the slant height.
Answer:
(x + 3)(x + 4) = 110
or x² + 7x + 12 = 110
Step-by-step explanation:
Answer:
6 ounces
Step-by-step explanation:
this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so
1.96=(x-3.8)/1.1
multiply both sides by 1.1 and then add 3.8
you can also use scientific calculator.
second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1
<h2>
Answer:</h2>
8x+9
<h2>
Step-by-step explanation:</h2>
12x+1 = 2(2x+5)
<h3><em><u>Handle the brackets first</u></em></h3>
12x+1 = 4x+10
<h3><em>
<u>Collect like terms</u></em></h3>
=8x+9
