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blagie [28]
3 years ago
8

The isosceles triangles below are similar.

Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1

Step-by-step explanation:

a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.

b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.

c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.

EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.

Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.

HJ and HI both measure 5 since they are congruent. 5+5+8=18.

d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.

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Answer:

Step-by-step explanation:

1.Distribute

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3.Add 51 to both sides of the equation

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3 years ago
Name an equivalent ratio for 1/2 with a denominator of 20
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1/2=x/20
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si el anteayer del pasado mañana de mañana del ayer del mañana de hace 2 dias es el pasado mañana del mañana del mañana del ante
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Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

<h3>Definición del día mediante equivalencia aritmética</h3>

Sea el día <em>actual</em> (<em>lunes</em>) el día 0, el día <em>anterior</em> tiene equivalencia de -1 y el día <em>posterior</em> tiene equivalencia de +1. A continuación, traducimos matemáticamente la expresión:

<em>Si el anteayer (-2) del pasado mañana (+2) de mañana (+1) del ayer(-1) el mañana (+1) de hace 2 días (-2) es el pasado mañana (+2) del mañana (+1) del mañana (+1) del anteayer (-2) del mañana (+1) del lunes (0). ¿qué día es el mañana (+1) del pasado mañana (+2) de ayer (-1) de ayer (-1)?</em>

<h3>Simplificación</h3>

<em>Si (-1) es (+3). ¿Qué día es (+1)?</em>

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

Para saber más de acertijos matemáticos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/24613771

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2 years ago
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Answer:

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Step-by-step explanation:

the ratio of the shorter sides is t/4 and the ratio of the longer sides is 26/8 so t=26×4/8=104/8=13

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