YacineE545692 YacineE545692
  • 03-11-2022
  • Mathematics
contestada

Use a proportion to find the missing side length, x.

Use a proportion to find the missing side length x class=

Respuesta :

KeairZ638103 KeairZ638103
  • 03-11-2022

Answer:

The measure of angle ABC is;

[tex]m\measuredangle ABC=72^0[/tex]

Explanation:

Given the triangle ABC.

Recall that the sum of angles in a triangle is 180 degrees;

[tex]8x+6x+6x=180[/tex]

solving for x, we have;

[tex]\begin{gathered} 8x+6x+6x=180 \\ 20x=180 \\ x=\frac{180}{20} \\ x=9 \end{gathered}[/tex]

From the diagram,

[tex]\begin{gathered} \measuredangle ABC=8x \\ \measuredangle ABC=8(9) \\ \measuredangle ABC=72^0 \end{gathered}[/tex]

Therefore, the measure of angle ABC is;

[tex]m\measuredangle ABC=72^0[/tex]

Answer Link

Otras preguntas

What is the distance between these two points on a number line ?178 and 313
explain how the bonding properties of carbon atoms result in the large variety of carbon-based molecules in living things
if you increase the force on a box, it will have...
Is 4/16;0.25 equivalent numbers
Two fifths of the instruments in the marching band are brass, one third are percussion, and the rest are woodwinds. A. What fraction of the band are wood winds
60 out of 300 Cds are classical music. what percent are of the cds are classical music cds
what is 1.45 percent of 17,370.98
"My vegetable love should grow/Vaster than empires and more slow" is an example of A) paradox B) hyperbole C) metaphor D).simile Having a hard time, I'm temp
what is the least dense layer of the earth
A 1-kilogram coconut falls out of a tree from a height of 3 meters. Determine the coconut's kinetic energy.