The four angles of a quadrilateral are in the ratio 4: 5: 2: 7. find the measures of all the angles

80    : 100:    40:   140

Step-by-step explanation:

The four angles of a quadrilateral add to 360 degrees.

Ratio

4 : 5 : 2: 7

Multiply each by x

4x: 5x : 2x : 7x  This total is 360 degrees

4x+5x + 2x+7x =360

18x = 360

Divide each side by 18

18x/18 = 360/18

x =20

The angles are

4x: 5x : 2x : 7x

4(20): 5(20) : 2(20) : 7(20)

80    : 100:    40:   140

468

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough