The easiest thing to find in a table showing a linear relationship is the slope. If the x is increasing by one each and every time (or cell because we are talking about tables), then the difference between each y value is the slope. Also, if you are lucky enough to have that sort of table, you can easily find the y-intercept by looking at the y value that is next to the x value of 0. Otherwise, work backward to find the y-intercept. For every x value you go down to try and get to 0, minus the y values also by the slope.
Answer:
Step-by-step explanation:
Using the given information, the value of x is 2
<h3>Calculating the length of the leg of an isosceles triangle</h3>
From the question, we are to determine the value of x
From the given information,
The isosceles triangle ABC has its vertex at B
If the vertex is at B, then we can conclude that
AB = BC (<em>Legs of an isosceles triangle are equal a</em>)
Also, from the given information,
AB = 6×+3
BC = 8x-1
Thus,
6x + 3 = 8x - 1
Collect like terms
3 + 1 = 8x - 6x
4 = 2x
2x = 4
∴ x = 4/2
x = 2
Hence, the value of x is 2
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The correct answer is option A which is ZA = 3 cm
<h3>What is the triangle?</h3>
Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The triangle is shown below.
From the triangle, A is the concurrency point of angle bisectors of all vertices.
Consider ΔAYD,
Using the Pythagorean theorem,
AD² = AY² + YD²
5² = AY² + 4²
25 = AY² + 16
AY² = 25 - 16
AY² = 9
AY = √9 = 3 cm
Consider triangles ADY and ADZ.
∠AYD ≅∠AZD=90
∠ADY≅∠ADZ ( Angle bisector)
AD ≡ AD (common side)
The two triangles are congruent by the AAS postulate.
Therefore, by CPCTE, AY=ZA=3 cm
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