UnicornAss
UnicornAss UnicornAss
  • 22-08-2017
  • Mathematics
contestada

in the diagram gef and hef are congruent what is the value of x

A.60
B.41
C.28
D.30

in the diagram gef and hef are congruent what is the value of xA60B41C28D30 class=

Respuesta :

alikittymail alikittymail
  • 22-08-2017
To figure it out do this:
60=2(x=2) and slove for x
soo, x=28
Answer Link
JeanaShupp
JeanaShupp JeanaShupp
  • 12-06-2019

Answer: C.28

Step-by-step explanation:

Given: Triangle GEF and triangle HEF are congruent triangles.

Since the corresponding angles of congruent triangles are congruent.

Therefore, ∠EFG≅∠EFH       [CPCTC]

From the given diagram we have

[tex]2(x+2)=60^{\circ}\\\\\Rightarrow\ x+2=30\\\\\Rightarrow\ x=30-2\\\\\Rightarrow\ x=28[/tex]

Hence, the value of x = 28.

Answer Link

Otras preguntas

when it is winter in europe, what season is it in asia and why?
How and why did the antislavery movement become more radical over the period 1815 to 1860?
Solve for x. 10x^2=29x-21 does anyone know this
What are the advantages and disadvantages of DNA foresics/analysis?
a) six pens and five pencils cost $2.50 while three pens and two pencils cost $1.15 . what will be the cost of a pen and 4 pencils . please help me
What are the advantages and disadvantages of DNA foresics/analysis?
What role do media, such as virtual worlds, play in shaping gender stereotypes?
What role do media, such as virtual worlds, play in shaping gender stereotypes?
True or false the origin would be included in the solution set for the following inequality: y>3x-9
At 10a.m. Juan leaves the city traveling north at 60 mi/hr. One hour later mel leaves the city traveling south at 50 mi/hr. At what time will they be 830 miles