gabriellewah022
gabriellewah022 gabriellewah022
  • 12-04-2021
  • Mathematics
contestada

Find x
In rectangle QRST, QS = 5x - 31 and RT = 2x + 11.
Find the lengths of the diagonals of QRST.


A.4
B.6
C.14
D.16

Find x In rectangle QRST QS 5x 31 and RT 2x 11 Find the lengths of the diagonals of QRST A4 B6 C14 D16 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-04-2021

Answer:

C

Step-by-step explanation:

The diagonals of a rectangle are congruent, then

5x - 31 = 2x + 11 ( subtract 2x from both sides )

3x - 31 = 11 ( add 31 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Then

RT = 2x + 11 = 2(14) + 11 = 28 + 11 = 39

The diagonals are each 39 units

Answer Link

Otras preguntas

A life cycle in which organisms switch back and forth between diploid and haploid stages A. is a haploids life cycle B. is a diploids life cycle C. is an altern
Who believed they were protected by a covenant? A. Egyptians B. Hebrews C. both
What is one advantage of having many small cells instead of one large cell?
what is 3 fourths minus 7 eighths
Help please!?!?!?!!??!? :) The United Kingdom is made up of: -England -France -Northern Ireland -Scotland -the Netherlands -wales (more then one can be picked :
What is the main difference between a parliamentary democracy and a presidential democracy? A) A parliamentary democracy does not have a judicial branch.
the temporary capital of the united states in 1789 ?
what does 3,676,487 rounded to the nearest thousand?
what is this expression equivalent to: 4x + 3(2x + 1) - 4x
Most earthquakes happen: A.) near passive margins B.) near subduction zones C.) in the middle of continents D.) in a ring around the Atlantic Ocean