Answer:
<u>x = 60°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
<u>So, the measure of the angle x = 60°</u>
Jacqueline is incorrect.
To find how much trash you can clean in 4 days if you already know how much trash you can clean in one day, multiply 1 2/3 (how much you can clean in one day) by 4.
Another way to write 1 and 2/3 miles is 5/3 (converting a mixed number to a single fraction). Then, 5/3 x 4 = 20/3. (To multiply fractions, just multiply across, leaving 5 x 4 in the numerator and 4 x 1 in the denominator.)
Jacqueline said you would be able to clean 19/3 miles but you can actually clean 20/3.
Answer = x= 0
Step-by-step explanation:
La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°.
La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.
<h3>Cómo analizar tres ángulos consecutivos</h3>
Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.
De acuerdo con el enunciado, tenemos las siguientes condiciones:
∠AOB + ∠BOC = 125° (1)
∠BOC + ∠COD = 100° (2)
Por (1) y (2) tenemos las siguiente identidad:
∠AOB - 25° = ∠COD
∠AOB - ∠COD = 25°
La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°. 
En el segundo caso, tenemos el siguiente sistema:
∠AOB = ∠BOC + ∠COD (3)
∠AOB + ∠BOC - ∠COD = 40° (4)
Por (3) y (4) tenemos la siguiente identidad:
2 · ∠BOC = 40°
∠BOC = 20°
La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.
Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/21209282
Answer:
Step-by-step explanation:
6x + 12 + 4x + 8 = 180 {Linear pair}
6x + 4x + 12 + 8 = 180 {Combine like terms}
10x + 20 = 180 {Subtract 20 from both sides}
10x = 180 - 20
10x = 160 {Divide both sides by 10}
x = 160/10
x = 16
m∠KLJ = 6*16 + 12
= 96 +12
= 108
m∠JLM = 4*16 + 8
= 64 + 8
= 72
