Step-by-step explanation:
step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent
step 2. x = 56° (definition of an isosceles trapezoid)
step 3. x + y + z + 56 = 360 (definition of a quadrilateral)
step 4. y = z (definition of an isosceles trapezoid)
step 5. 56 + 2y + 56 = 360
step 6. 2y = 248
step 7. y = 124°, z = 124°.
Answer:
option D. Neither
Step-by-step explanation:
y-4=7(x-6)
using (5,4):
4-4=7(5-6)
0=7(-1)
0=-7
using (6,5):
5-4=7(6-6)
1=7(0)
1=0
so option D is the answer
Answer:
180
Step-by-step explanation:
The difference between 68 and 23 is 45. The company charging 23$ has to be 45$ more for the amount of hours. When you multiply 180 by .4 you get 72, and when you multiply 180 by .65 you get 117. The difference is 45.
Sorry that I didn't show my work, I don't really know how to do this other than plugging in random numbers and 180 fits so...
Hope this helps!
Answer:
Yes she made an error. Explanation is below.
Step-by-step explanation:
Let the sample space for a six sided number cube be S

Let the event of a number getting greater than two be B

To find:
the probability of complement of B that is
p(~B) = ?
Solution"
First we need to solve probability for number getting greater than two

Now substituting the values we get


but we need complement of B so

P(complement of rolling a number greater than two) = 
SA= 2LW + 2LH + 2WH
Substituting for the values, SA = 900 cm^2