Triangle abc is a right triangle. point d is the midpoint of side ab and point e is the midpoint of side ac. the measure of angle ade is 68°. the following flowchart with missing statements and reasons proves that the measure of angle ecb is 22°: which statement and reason can be used to fill in the numbered blank spaces? corresponding angles are congruent triangle sum theorem measure of angle aed is 22° corresponding angles are congruent base angle theorem measure of angle aed is 68° alternate interior angles are congruent triangle sum theorem measure of angle aed is 22° alternate interior angles are congruent triangle angle sum theorem measure of angle aed is 68°

Given that,

"Triangle ABC is a right triangle.

Point D is the midpoint of side AB

Point E is the midpoint of side AC.

The measure of angle ADE is 68°."

Angle DAE is

Using the Triangle Sum Theorem of triangle ADE,

Angle ADE +Angle DAE +Angle DEA = 180°

Angle DEA = 180° -68°-90°= 22°

Again that Segment DE joins the midpoint of AB and AC.

DE is parallel to BC.

Thus Angle ECB is congruent to the angle AED.

So Angle AED = 22°= ECB.

Thus the measure of angle ECB is 22°.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3