Answer:
w=3/5 or w=-5
Step-by-step explanation:
5w^2+22w=15
5w^2+22w-15=0 (quadratic equation)
a=5, b=22, c=-15
w1,2 =(-b+-sqrt(b^2-4ac))/2a
w1,2 =(-22+-sqrt(22^2-4*5*(-15))/2*5
w1,2 =(-22+-sqrt(484+300))/10
w1,2=(-22+-sqrt(784))/10
w1,2=(-22+-28)/10
w1=(-22+28)/10, w2=(-22-28)/10
w1=6/10, w2=-50/10
w1=3/5, w2=-5
It is 45 because angle EBC is congruent to CDE (x) because of a rule called alternate angles. so x= 45°
Answer:
32 units squared
Step-by-step explanation:
This is kind of a weird shape, so split it into smaller shapes, in this case two triangles and a rectangle.
Both of the triangles have a base of 8 and a height of 2. Multiply the base and the height together, then divide by 2. 8*2/2 equals 8, so the area of each triangle is 8.
For the rectangle, the length is 2, and the width is 8. Multiply the length and the width together to get 16.
Finally, add the areas of all those smaller shapes together to get the area of the whole shape, 32 units squared.
5 is the answer. Any number that ends in 5 or 0 allows 5 to go into it.
According to triangle proportionality theorem:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
And in the given triangle, MN parallel to BC, So MN divided the two sides in proportion, that is
Correct option is the third option .
