this is an isosceles triangle... meaning that the two base angles will be equal.
180 - 38 = 142
142 / 2 = 71
x = 71
Answer:
<em>x = 30.2 units</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.
We use the cosine ratio to calculate x:
Solving for x:
x = 30.2 units
Answer:
∠4 & ∠8
∠3 & ∠7
Step-by-step explanation:
When the transversal (the line that crosses the other 2) intersects through 2 lines, it forms 2 pairs of alternate interior angles.
The alternate interior angles are always located in the inner corners of the intersections and are on opposite ends of the transversal.
Answer:
<h3><u>Part (a)</u></h3>
From inspection of the diagram, the pattern is:
Step 1: 1² + 1
Step 2: 2² + 2
Step 3: 3² + 3
Let x = step number
Let y = total number of squares
Therefore, the equation that represents the relationship is:
y = x² + x
<h3><u>Part (b)</u></h3>
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x² relates to the large square made up of small squares (top part of the image of each step)
x relates to the rectangle of small squares (bottom part of the image of each step)
y is the total number of small squares in the image of each step.
