What is the dependent quantity, and which variable should represent it? y= -5x + 100

Mathematics

2 answers:

Montano1993 [528]3 years ago

4 0

X = 20. Hope this helps!

Sindrei [870]3 years ago

3 0

X=20. Good luck hope it helped!.

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which situation would be represented by a discrete probability distribution? a) the weight of fire fighters b) the overall avera

IgorC [24]

A discrete variable is a variable which may take only certain discrete values; for example the number of people in a household is a discrete variable which may have the value 1, 2, 3, etc. but cannot have intermediate values such as 1.473 or 3.732.
Choice d) can be represented by a discrete probability distribution, the other choices cannot be so represented.

4 0

3 years ago

HELP LOOK AT THE SCREENSHOT<br><br> Find the value of x. (SHOW WORK)

Vanyuwa [196]

Answer: x = 2

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Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

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Now let's solve for x

6x-10 = 3x-4

6x-3x = -4+10

3x = 6

x = 6/3