1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
2 years ago
11

Consider in the figure below.

Mathematics
2 answers:
Dahasolnce [82]2 years ago
7 0

Answer:

UV = 148

VD = 78

TC = 72

Step-by-step explanation:

BD is the perpendicular bisector of side UV.

Therefore, ΔUDV is an isosceles triangle.

This implies that UD = VD and BV = UB so UV = 2 x BV

  • Given that UD = 78, and UD = VD, then VD = 78
  • Given that BV = 74, and BV = UB, then UV = 2 x 74 = 148

ΔUDC is a right triangle.

Given CD = 30 and UD = 78,

and using Pythagoras' Theorem, we can calculate UC:

UC = √(UD² - CD²)

⇒ UC = √(78² - 30²)

⇒ UC = 72

CD is the perpendicular bisector of side UT.

Therefore, ΔUDT is an isosceles triangle, so UC = TC

Since UC = 72, then TC = 72

yawa3891 [41]2 years ago
6 0

Here BD is perpendicular bisector

So

  • UB=BV=74

\\ \tt\hookrightarrow UV=74+74=148

Apply Pythagorean theorem

\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2

  • UD=VD=78=TD

\\ \tt\hookrightarrow TC^2=TD^2-CD^2

\\ \tt\hookrightarrow TC^2=78^2-30^2

\\ \tt\hookrightarrow TC^2=6084-900=5184

\\ \tt\hookrightarrow TC=72

You might be interested in
What is the value of "n" if the formula is<br> a(n)=57+(n-1)×4
Romashka [77]
You only know. The n stands for the term number.
4 0
3 years ago
Connie went shopping and spent one-half of her money at Allen's Grocery Store. She then spent one-third of what she had left at
gulaghasi [49]

Answer:

$30

Step-by-step explanation:

6 • 1/3 = 18

18 • 1/2 = 36

36 - 6 = 30

3 0
3 years ago
What is 2+2 l m a o
ICE Princess25 [194]

Answer

2 + 2 = 21

Step-by-step explanation:

because, vine.

3 0
3 years ago
Read 2 more answers
* ANSWER PLS * Which choice is chord?
ikadub [295]

Answer:

LG is a chord.

Step-by-step explanation:

A chord is a line segment that has endpoints on two points of a circle.

3 0
3 years ago
Read 2 more answers
In the following scenario for a hypothesis test for a population? mean, decide whether the? z-test is an appropriate method for
Alik [6]
D

This is the right answer
4 0
3 years ago
Other questions:
  • If f(x) = 3x^2 -2x-1 and g(x) = x^2 find (gof) (x)
    7·1 answer
  • Hi !! help please :d I can't figure this one out
    6·2 answers
  • How do you estimate the sum or difference of 5/12 + 7/8​
    5·1 answer
  • Find the value of x and y please
    5·1 answer
  • Find the selling price. Cost to store 90$. Markup 70%
    11·1 answer
  • 2(x + 2) + 1= 5(-x + 8)
    6·1 answer
  • a woodworker wants to cut a board that is 6.432 feet long into 4 equal-length pieces. How long will each of the cut boards be?
    14·1 answer
  • Help me find the value of x​
    13·1 answer
  • I need to know what q/8=5/4
    10·2 answers
  • SAY "YES!" TO THE ANSWER?<br> !✌✌✌
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!