9a) False, The dimensions are 10 x 20
b) True, 10 x 20 = 200
c) 10-6=4 (right side minus left side)
26-20=6 (bottom line minus top line)
d) True, Area of a triangle = (base x height) / 2
The base is 6 and the height is 4, so 6 x 4= 24 / 2 =12
e) True, the total area is equal to the triangle area plus the rectangles area.
so, 200+12= 212
In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.
In an equilateral triangle, all the sides and all the angles are equal.
MN = NP = PM
∠M = ∠N = ∠P
Then we have
PM = MN
3x - 4 = 14
x = 17/3
We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have
∠N = 60
5y - 5 = 60
5y = 65
y = 13
More about the triangle link is given below.
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The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
Read more on discriminant;
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Speed is simply some number with some unit of speed at the end while velocity is speed with a direction.
The skydiver's velocity is 212 miles per hour downward.
The skydiver's speed is 212 miles per hour
