I need help on these problems please

Mathematics

1 answer:

Art [367]3 years ago

6 0

The remote interior angles of a triangle are basically the two angles that do not share a vertex with and are opposite to the exterior angle.

5. ∠1 and ∠2
6. ∠2 and ∠3
7. ∠1 and ∠3

Because the exterior angle of a triangle is equal to the remote interior angles we can set up the following equations:
8.
$x + 80 = 105 \\ x = 105 - 80 \\ x = 25$
9.
$x + 72 = 135 \\ x = 135 - 72 \\ x = 63$

You might be interested in

I WILL AWARD BRAINLIEST!!

AnnZ [28]

Answer:

Can not be determined (CNBD)

Step-by-step explanation:

In the given triangle ACI,

M is the mid point of CI, So we have

CM= MI

also AM=AM ( reflexive property )

So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM

To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem

we should have AC =AI , but it is not given,so we can not say that AC=AI

To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem

we should have ∠AMC=∠AMI, but it is not given,so we can not say that ∠AMC=∠AMI

We can not determine that ΔCAM is congruent to which triangle

Hence the answer is Can not be determined (CNBD)

5 0

2 years ago

Una empresa fabrica dos productos, X y Y. Cada cantidad del articulo X producida requiere dos horas de trabajo en una taladrador

Zarrin [17]

Answer:

la respuesta esta abajo

Step-by-step explanation:

a) Sea x el número del artículo x mientras que y representa el número del artículo y.

Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:

2x + 5y ≤ 40

b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.

c) Para 10 unidades de X y 5 unidades de y:

2 (10) + 5 (5) = 45> 40

Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.

8 0

2 years ago

Which statement is an example of the symmetric property of congruence?

BabaBlast [244]

The <u>correct answer</u> is:

$\text{D) If }EFG \cong HJK, \text{ then } HJK \cong EFG.$

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).

This means since EFG is congruent to HJK, then HJK is congruent to EFG.

3 0

3 years ago

Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ

const2013 [10]

Answer:

$\frac{(2a + 1)^2}{50a}$