Answer:
The answer is below
Step-by-step explanation:
Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance across the pond must be 160 ft by the SSS Triangle Congruence Theorem.
Solution:
Two triangles are said to be congruent if they their three sides are equal and their three angles are equal.
From the image attached we can say that triangle LMN and triangle JNK are congruent since they have they share the same angle (∠N) and both of their sides are equal. This is the side, angle, side (SAS) congruence theorem.
Hence since they are congruent, JK = 160 feet by the SAS triangle congruence theorem.
Answer:
7.5
Step-by-step explanation:
Im so sorry if this is wrong im not good with word problems but
i got 2(h-3)= 9
then 2h-6=9
then 2h=15
finally h=7.5
Remark
You need a split statement like C or D. A and B would have to be considered if the ages were between 12 and 60. However the discounts apply the other way. Up to 12 and over 60. You need two inequalities to describe this.
<em><u>Under 12</u></em>
x ≤ 12
The pointy end of the arrow points toward the x. x must be less than or at most equal to 12. The pointy end of the inequality must be directed towards the smaller number.
<em><u>Over 60</u></em>
x ≥ 60
This time the pointy end is directed towards the 60. x must be at least 60 and then upwards.
So C is the correct answer.
Answer:
12th term is 16,777,216
Step-by-step explanation:
- 2
- 8
- 32
- 256
- 1024
- 4096
- 16384
- 65536
- 262144
- 1048576
- 4194304
- 16,777,216
Answer:
x = 0
Step-by-step explanation:
Substituting the given "point" into the equation gives the possibilities for x.
<h3>Substitution</h3>
Using (x, y) = (x, 8), the inequality becomes ...
3x -4 < 8
Solving for x gives ...
3x < 12 . . . . . . . add 4
x < 4 . . . . . . . divide by 3
Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...
x = 0 . . . . . . (0, 8) is a solution to the inequality