Hello,
(5x-2)+(2x+6)=67
==>7x+4=67
==>7x=67-4
==>7x=63
==>x=63/7
==>x=9
|AB|=5x-2=5*9-2=45-2=43 (miles)
The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)
<h3>How to write an expression as difference of cubes?</h3>
Difference of cubes can be rewritten in the form of;
a³ – b³ = (a – b)(a² + ab + b²)
So in this question, we are given;
x³ - 64 = x³ - (4)³
where a = x and b = 4
This gives us;
(x - 4)(x² + 4x + 4²)
⇒ (x - 4)(x² + 4x + 16)
Read more about difference in cubes at; brainly.com/question/2747971
#SPJ1
Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Answer:10.3% is the percentage of students who cancelled, but the question is asking for the students who are attending, so let's use 89.7% to make it easier. The proportion would be x over 58 is equal to 89.7% over 100%. ... 52 students actually attend the art class, making this your final answer.
Step-by-step explanation:
Answer:
<em>The little brother should place the mirror at 36 ft from the base of the tree to properly see its top</em>
Step-by-step explanation:
<u>Similar Triangles
</u>
Two triangles are defined as similar if their corresponding angles are congruent and the corresponding sides are in proportion. The triangle formed by the kid and the ground and the triangle formed by the tree and the ground are similar since the angle of reflection over the mirror is the same, i.e. the light travels in a straight line. This means that we can set this proportion
Solving for x
The little brother should place the mirror at 36 ft from the base of the tree to properly see its top
