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goblinko [34]
3 years ago
6

Help me pleasee I really Need help

Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0
We can’t measure these. How long is each of them
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Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
skelet666 [1.2K]

Angles formed by the segment \overline{XZ} in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

  • The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment \overline{XZ} is perpendicular to segment \overline{WY}

∠WZX and ∠XZY are right angles by definition of \overline{XZ}  perpendicular to \overline{WY}

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}

\displaystyle \mathbf{ \frac{XZ}{ZY}}  = \frac{12}{9}  = \frac{4}{3}

Therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9}, which gives, \displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9} which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0
2 years ago
John Paul gave the cashier $50 to pay for 8 bags of apples. The cashier gave him $17.49 in change.
Leona [35]
I believe the answer is $4.06

let me know if i’m wrong though
8 0
3 years ago
Read 2 more answers
*you get 16 points*PLEASE ANSWER i’m kinda failing so help
sleet_krkn [62]

Answer:

Graph 4

Step-by-step explanation:

Parallel lines have no solution  to the system of equation.  Graph 4 is a set of parallel lines, so they will never intersect.

3 0
3 years ago
The midpoint of ST is M=(-2.1). One endpoint is S=(-6. -4).
qwelly [4]
ㅎ노ㅕㄴ노쥬ㅗ져쥬조녀노저져져져ㅠㅇㅌ우엊ㅈ
7 0
3 years ago
The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the
Karo-lina-s [1.5K]
Given this equation:

f(x)=301+29^{-0.5x}

That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

<span>The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

</span>f(0)=301+29^{-0.5(0)}=301+1=302ft
<span>
<span>So, the tree is initially \boxed{302ft} tall.
</span>
Therefore this statement is false.

</span>Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:

</span>f(5)=301+29^{-0.5(5)}=301ft<span>

</span>if x = 7 then:

f(7)=301+29e^{0.5(7)}=301ft

So, between the 5th and 7th years the height of the tree remains constant
:
\Delta=f(7)-f(5)=301-301=0ft

This is also a false statement.

<span>After growing 15 ft, the tree's rate of growth decreases.</span>

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term 29^{-\infty} approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow. 


4 0
3 years ago
Read 2 more answers
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