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puteri [66]
2 years ago
14

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Mathematics
1 answer:
statuscvo [17]2 years ago
6 0

Answer:

2√3

Step-by-step explanation:

Our focus is going to be on Triangle CDB,

BC = 4

∠DBC = 60°

Using SOH CAH TOA, we have;

Sine  60° = opposite / Hypotenus

√3/2 = CD / 4

4 *  √3/2  = CD

CD = 2 * √3

CD = 2√3

You might be interested in
Which must be true in order for the relationship △ZYV ~ △XWV to be correct?
tigry1 [53]

Hey there!

In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.

This means...

∠Z≅∠X

∠Y≅∠W

∠V≅∠V

Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.

For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.

For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.

For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y

Therefore, our answer is D) ∠Z≅∠X and  ∠W ≅ ∠Y.

I hope this helps!

3 0
3 years ago
Read 2 more answers
What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?
Lynna [10]

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

6 0
3 years ago
Read 2 more answers
Helen bought notebooks and pencils to school the number of pencils she bought is given 6(n-3) where n number of notebooks she bo
babunello [35]

Answer:

she bought 12 pencils

Step-by-step explanation:

6(5-3)

6(2)=12

6 0
3 years ago
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
kati45 [8]

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

8 0
3 years ago
junto a una compañera o compañero realiza en un plano de un barrio ubica entre lugares importantes y escriban sus coordenadas​ p
Leviafan [203]

Las coordenadas de la escuela (rojo) son (4,3), las coordenadas de mi casa (rosado) son (6,5) las coordenadas del supermercado (verde) son (11,4) y las coordenadas del restaurante (amarillo) son (9,8).

<h3>¿Qué es una coordenada?</h3>

Se refiere a una expresión, valor o magnitud sobre el plano cartesiano que muestra la ubicación de un punto o referencia.

<h3>¿Cómo escribir una coordenada?</h3>

Siempre se deben tener los valores de ambos ejes: el eje y (vertical)  y el eje x (horizontal). Para esto primero escriba el valor del eje x luego añada una coma y escriba el valor de y.

De acuerdo a lo anterior, los lugares ubicados en el mapa tiene las siguientes coordenadas:

(4,3)

(6,5)

(11,4)

(9,8)

Aprenda más sobre coordenadas en: brainly.com/question/24702640

6 0
2 years ago
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