a quadrilateral has 2 right angles. the measure of the third angle is 73, what is the measure of the forth angle?

Mathematics

1 answer:

hoa [83]3 years ago

5 0

Answer: 107 degrees.

Step-by-step explanation:

A quadrilateral is defined as a 2-dimensional closed shape which has four sides and four vertices.

By definition the interior angles of a quadrilateral add up 360 degrees.

We know that this quadrilateral has 2 right angles (which are angles that measure 90 degrees) and we know that the measure of the third angle is 73 degrees.

Let be "x" the measure of the fourth angle.

Then you can write this expression:

$360\°=90\°+90\°+73\°+x$

And finally solve for "x":

$360\°=253\°+x$

$360\°-253\°=x$

$x=107\°$

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(x+d)(x+e)=x^2+fx+33

victus00 [196]

Answer:

f=14 or f=34

Step-by-step explanation:

(x+d)(x+e) =x^2 +fx+33, d, e, f>0

x^2 +xe+dx+de=x^2+fx+33

x^2+(e+d)x+de=x^2 +fx+33 that

e+d=f and d*e=33, d=33/e

e+33/e=f

33=1*33 or 33=3*11

If e=1,d=33 then f=34

If e=3*,d=11, then f=14

4 0

3 years ago

a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the shaded region. be sur

ser-zykov [4K]

Answer:

Step-by-step explanation:

Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.

Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.

Apply triangle formula, base x height divided by 2.

$\frac{4 \times 3}{2} = 6$