Answer:
from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.
Answer:
7 square units
Step-by-step explanation:
As with many geometry problems, there are several ways you can work this.
Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.
The applicable formulas are ...
area of a trapezoid: A = (1/2)(b1 +b2)h
area of a triangle: A = (1/2)bh
So, our areas are ...
AQRS = AWSQE - AWSR - AEQR
= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)
Factoring out 1/2, we have ...
= (1/2)((2+5)·4 -2·2 -5·2)
= (1/2)(28 -4 -10) = 7 . . . . square units
angle 2 and angle 6 are corresponding angles.
Since the lines crossed by the trnasversal are parallel, corresponding angles are congruent. (equal)
angle 6 = 106°
Answer:
It will take them 3.43 hours.
Step-by-step explanation:
Let T denote the total cookies that need to be cocked. Observe that:
- If Rosanne finishes the cookies in 6 hours, that means that she can make
cookies per hour. - If Dorothy finishes the cookies in 8 hours, that means that she can make
cookies per hour.
Then, by 1) and 2), if they work together would we able to make
cookies per hour.
Therefore, in order to finish the T cookies they will need 
