Answer:
CD = 27
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sided are equal, that is
= 
, substitute values
= 
= 3 ( multiply both sides by 9 )
CD = 27
Answer:
6.8
Step-by-step explanation:
A conditional statement is written in the if-then form. The hypothesis is the first or "if" part while the conclusion is the "then" or then part. Thus, the conditional statement would be
If a person lives in Ohio, then the person lives in the United states
To form the converse of the conditional statement, the hypothesis and conclusion are interchanged. It becomes
If a person lives in the United states, then they live in Ohio
Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
Answer:
119
Step-by-step explanation:
Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus
f(6) = 2(6)³ - 9(6)² + 11
= 2(216) - 9(36) + 11
= 432 - 324 + 11
= 119 ← remainder
