Answer:
= .0000001
Step-by-step explanation:
The odds of getting 1 number of out the 10 possible number (0-9) equal 10 is 1/10
There are 7 numbers to pick
P(xxx-xxxx) = 1/10 * 1/10 *1/10 * 1/10 * 1/10 * 1/10 *1/10
= .0000001
Answer:
3
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
We know that the area of a circle is equal to 
.
A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.
Therefore, a semi-circle's area is equivalent to
.
Set this equation equal to 18
.
Solve for r.
We then find that r = 6.
Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2
r. Since we only need the perimeter of half of a circle, our circumference equation will equal
r.
Plug 6 in for r.
The perimeter of the garden is equal to 6
.
9514 1404 393
Explanation:
1. AD ≅ BC, AD ║ BC . . . . given
2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem
3. AC ≅AC . . . . reflexive property
4. ΔDAC ≅ ΔBCA . . . . SAS postulate
5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC
6. AB ║ CD . . . . converse of alternate interior angles theorem
7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)
_____
We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel. YMMV