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Aleonysh [2.5K]
3 years ago
14

Need help with semester homework is bout to end

Mathematics
1 answer:
Savatey [412]3 years ago
6 0
To find the correct polynomial, we can use the answers to help us out. The middle variable must be the sum of +2 and another number; the last number in the equation must be the product of +2 and the other number.
Knowing this information, we can use the process of elimination to find the exact polynomial that contains the factor (3x + 2).

A) This can't be it because to get -x as the middle variable, you would need to add -3 and +2. However, -3 x +2 doesn't equal -4.

B) This equation isn't the right one because to get +8 you need to add +6 + 2. However, the product of these two isn't -8.

C) Can't be correct because +2 and -7 = -5, but 2 x -7 = -14...not -9.

D) Is the correct answer because you can add 2 and -1 to get +1. (There is an understood +1 in front of the x in the equation.) The product of 2 and -1 equals -2, which happens to be the last number inside this equation. Therefore, this (D) is the correct answer choice.

Hope I could help you out! If my math is incorrect, or I didn't provide the answer you were looking for, please let me know. However, if the answer was correct and well explained, please consider marking it <em>Brainliest</em>.

Have a good one!
God bless.
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Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
ipn [44]
Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: \triangle SXR \cong \triangle TXR
Answer for part F: CPCTC

-------------------------------------------------------------

Explanations:

Part A:

We are given that \overline{RX} \perp \overline{ST} which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

---------------------
Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

---------------------
Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

---------------------
Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing \triangle SXR \cong \triangle TXR means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

---------------------
Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.
8 0
3 years ago
Please answer number 14<br> I already tried but don’t understand
Rudiy27
  • Answer:
  • < abc =  < ebc \\  < acb =  < ecd \\ if \: two \: angles \: in  \:  the \:two \: different \:  triangles \: are \: equal \: then \: the \: third \: angle  \: in \: the \: triangle\: must \: be  \:  equal. \\ using \: pythogres \: theorum   \\  ab = \sqrt( ac ^{2}  - bc^{2} )\\  =  \sqrt (15 ^{2}  - 12 ^{2})  \\  =  \sqrt( 225 - 144 )\\  =   \sqrt(81) \\  ab = 9 \\ sides \: of \: similar \: triangle \: are \: propotional \\   ac  \div ec = dc \div bc \\ 15 \div x = 12 \div 6\\ x = 15 \times 6\div 12\\ x = 15  \div  2 \\ x = 7.5 \\ so \: ec \:  = 7.5 \\ you \: can \: check \: this \: by \: applying \: pythogores \: theorum. \\ i \: hope \: this  \:  helps

8 0
3 years ago
Really need help with this plsss answer
Nutka1998 [239]
Point slope form is:

y - y_{1} = m(x - x_{1})

With y_{1} and x_{1} being the coordinate points, and m being the slope.

So the coordinate points are (4, -5), and the slope is -6 in this case.

So just substitute everything in, to get:

y - ( -5) = -6(x - 4)

Or

y + 5 = -6 (x - 4)
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3 years ago
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