Answer:
E -->R
D-->K
O-->O
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Here Angle E corresponds and is congruent to Angle R in these congruent triangles.
Angle D is congruent and corresponds to Angle K for these congruent triangles.
Angle O is equal to Angle O as they are vertical angles across a vertex.
Answer:
x = 30
Step-by-step explanation:
by solving ;
- 18 / x = 6 / 10
- 1 / x = 6 / ( 18 × 10 )
- 1 / x = 6 / 180
- 1 / x = 1 / 30
- x = 30
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Answer:
$1.90
Step-by-step explanation:
Represent the numbers of nickels, dimes and quarters by n, d and q.
Then: d + q = 9, or q = 9 - d.
Also, n + d = 10
Lastly, n + d + q = 15.
Let's substitute 9 - d for q in the equation immediately above:
n + d + (9 - d) = 15, or n + 9 = 15. Then n must be 6.
In summary, Jim has 6 nickels, (10 - 6) dimes and (9 - 4) quarters, or:
6 nickels, 4 dimes and 5 quarters
Thus, he has 5($0.05) + 4($0.10) + 5($0.25), or
$0.25 + $0.40 + $1.25, or $1.90
