Answer:
b
Step-by-step explanation:
Area of Trapezoid is = 1/2 x height x (base1 + base2)
Here, Area = 98, base1 = 8, base2 = 20 and height = unknown (x)
So, 1/2 x height x (8+20) = 98
==> 1/2 x height x 28 = 98
==> height x 14 = 98
==> height = 98/14
==> height = 7 units
So, the final answer is --> the value of x = 7 units
A. The equation is in the form of y = mx + b. It will be y = -3x + 30.
B. The y-intercept is 30, which is the starting temperature in the problem.
C. The slope is -3, which means that they temperature is falling by 3 each hour.
9514 1404 393
Answer:
D 9/DF = 18/16
Step-by-step explanation:
Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.
For these isosceles triangles, the similarity statement could be written either of two ways:
ΔDEF ~ ΔABC or ΔDEF ~ ΔCBA
Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...
DF and AC (short sides)
DE and AB (long sides)
EF and BC (long sides)
For each (short side, long side) pair, we can write the proportion 4 ways:
- DF/DE = AC/AB ⇒ DF/9 = 16/18
- DF/AC = DE/AB ⇒ DF/16 = 9/18
- DE/DF = AB/AC ⇒ 9/DF = 18/16 . . . . . matches choice D
- AC/DF = AB/DE ⇒ 16/DF = 18/9
Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.
