A quadrilateral has exactly one right angle and two nonadjacent angles that each measure 105 degrees

Mathematics

1 answer:

LiRa [457]3 years ago

8 0

Answer:

C) Kite

Step-by-step explanation:

The problem states that the polygon is a quadrilateral, meaning it has 4 sides. This rules out D, as pentagons have 5 sides. Our next clue is that this shape has <em>only one </em>right angle, ruling out A and B, because, by definition, rectangles and squares must have four 90 degree angles. We can already see that we are left with only one choice, but to confirm: a kite has 2 opposite angles of 105 degrees, like the problem states.

Therefore, the answer is C) Kite

Hope this helps!

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Use long division to find the quotient below (30x^3+4x^2-150) / (6x-10)

Anni [7]

Answer:

The answer is

A $.5x^2+9x+15$

Step-by-step explanation:

kindly find attached the solving for proper understanding and solution flow.

Given Data

the divisor= $6x-10$

dividend= $30x^3+4x^2-150$

firstly for us to perform the division we need to re write the dividend and include the missing coefficient of x

dividend $=30x^3+4x^2+0x-150$

3 0

3 years ago

Please Help!

alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}$

and a, b and c are the three sides of the triangle

Area of triangle ABD = $s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33$