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3 years ago

May I get some help with this question?

Mathematics

2 answers:

atroni [7]3 years ago

8 0

Bisector perpendicular is a line perpendicular to the segment and passes through the midpoint of the segment. S is midpoint of the segment.
hence
XS=ZS
third choice

Dennis_Churaev [7]3 years ago

7 0

Answer:

Option 3rd is correct

Step-by-step explanation:

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In the diagram below, we have $ST = 2TR$ and $PQ = SR = 20$. Find the length $UV$.

Maslowich

Answer:

Step-by-step explanation:

1. $ST=2TR$ and $SR=20,$ then by segment addition postulate

$ST+TR=SR\\ \\2TR+TR=SR\\ \\3TR=20\\ \\TR=\dfrac{20}{3}\\ \\ST=2\cdot \dfrac{20}{3}=\dfrac{40}{3}$

2. Consider triangles PQU and TSU. These triangles are similar by AA similarity theorem (triangles have congruent vertical angles PUQ and TUS and congruent alternate interior angles PQU and TSU). Similar triangles have proportional corresponding sides, so

$\dfrac{QU}{US}=\dfrac{PQ}{ST}=\dfrac{20}{\frac{40}{3}}=\dfrac{60}{40}=1.5$

$QU=1.5US$

3. Consider triangles QUV and QSR. These triangles are similar by AA similarity theorem. Similar triangles have proportional corresponding sides, so

$\dfrac{QU}{QS}=\dfrac{UV}{SR}\\ \\\dfrac{QU}{QU+US}=\dfrac{1.5US}{1.5US+US}=\dfrac{1.5}{2.5}=0.6$

$\dfrac{UV}{SR}=0.6\Rightarrow UV=0.6SR=0.6\cdot 20=12$

7 0

3 years ago

Read 2 more answers

What is the EQUATION of a HORIZONTAL LINE passing through THE POINT (-7, 5)?

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

A horizontal line has an equation: y = a (a - any real number).

Each point on a horizontal line y = a, has coordinates (x, a) (x - any real number).

We have the point (-7, 5) → y = 5

8 0

4 years ago

What is the answers to<br><br> 2.7=8.1/p,p=0

adell [148]

Answer:8.1/2.7/0

Step-by-step explanation: X = 0 is undefined,.

5 0

3 years ago

Please Help Me with this permutations and combinations math problem

Paraphin [41]

Step-by-step explanation:

you do know what a combination stands for ?

n over r = n! / (r! × (n-r)!)

and you know what "!" (factorial) means ?

it means it is the product of

n × (n-1) × (n-2) × (n-3) × ... × 3 × 2 × 1

so, now we only need to calculate the whole thing.

10 over 4 = 10! / (4! × (10-4)!) = 10! / (4! × 6!) =

= 10×9×8×7 / 4×3×2 = 5×3×2×7 = 210

10 over 6 = 10! (6! × (10-6)!) = 10! / (6! × 4!) =

= the same as 10 over 4 = 210

8 over 7 = 8! / (7! × (8-7)!) = 8! / (7! × 1!) = 8

6 over 2 = 6! / (2! × (6-2)!) = 6! /(2! × 4!) =

= 6×5 / 2 = 15

6 over 4 = the same as 6 over 2 = 15

9 over 6 = 9! / (6! × (9-6)!) = 9! / (6! × 3!) =

= 9×8×7 / 3×2 = 3×4×7 = 84

so, we have then

210×210 - 8×15 + 15×84 = 44100 - 120 + 1260 =

= 45240

6 0

3 years ago

PLEASE HELP ME!!!

Rashid [163]

Step-by-step explanation:

We need to find the value of angle D so that we can solve for X. To do that we need to find the value of angle A and that value will be the same value as D because these angles are the same.

To do that we have to add angles C and B together and that equals 118°. Then we have to realize that all the angles of a triangle add up to 180°. So then we have to subtract 118° from 180° and that equals 62°. So now we have the value of A.

If the value of angle A is 62° then that must be the value of angle D because these two angles are the same. So now that we have the value of angle D we need to solve for X. This equation is asking what times 2 equals the value of X. We know the value of X is 62°. So what times 2 equals 62°?

31×2=62°

Therefore the value of X is 31

Hope this helps! If you have any more questions or you need further clarification please comment down below or message me! Good luck!

7 0

4 years ago