Step-by-step explanation:
QR is parallel to TU | Given
S is the midpoint of QT | Given
QS = ST | Definition of midpoint
<QSR = <TSU | definition of vertical angles
<QRS = <STU | Definition of Alternate Interior Angles
QSR = TSU | ASA
Pretty sure that's right :D
Also, wherever it says "=", I mean congruency symbol
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
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.
Answer:
1 a=-5 b=52 c=-52
it is the required answer
slant height(h) = 16.3ft
Base side = 20ft
Perimeter of base = 4(base side) = 4(20) = 80ft
