Melissa bought 42 pine seedlings and 30 juniper seedlings

n their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Bec

Makovka662 [10]

Becky =B

Min =M

B =2M and B + M = 42.

(2M) + M= 3M = 42 and so M=42/3=14.

B = 2M so it's 14*2=28

Becky scored 28 points.

4 0

3 years ago

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An equilateral triangle and an isosceles triangle share a common side. what is the measure of ABC ?

erastovalidia [21]

Answer:

$\angle ABC=116^o$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of the vertex angle ∠ABD of an isosceles triangle

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem

$\angle BDA=\angle BAD=62^o$ ----> the angles of the base are equals

Find the measure of the vertex angle ABD

$\angle ABD=180\°-2*62\°=56\°$ ------> the sum of the internal angles of a triangle is equal to 180 degrees

step 2

Find the measure of the angle ∠CBD in the equilateral triangle

we know that

A equilateral triangle has three equal sides and three equal angles

The measure of the internal angle in a equilateral triangle is equal to 60 degrees

so

$\angle CBD=60\°$

step 3

Find the measure of the angle ∠ABC

we know that

$\angle ABC=\angle ABD+\angle DBC$ ---> by addition angle postulate

substitute the values

$\angle ABC=56^o+60^o$

$\angle ABC=116^o$

8 0

3 years ago

Brandon has an action figure collection. He keeps 178 of the action figures on his wall, which is 89% of his entire collection.

RSB [31]

Answer:

200 total action figures

Step-by-step explanation:

178 * 100 / 89 = 200

5 0

3 years ago

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tres hermanos danvueltas circuito en bicicleta. el mayor tarda 18 en dar Una vuelta el del medio 24 minutos yel menos 36 minutos

hodyreva [135]

Tienes que hallar el mínimo común múltiplo de las 3 cantidades.

18= 2×3²
24= 2³×3
36= 2²×3²

mcm(18,24,36) = 2³×3²=8×9= 72

Eso quier decir que si partieron a la misma hora se encontraran de nuevo en el punto de partida 72 minutos después de la salida.

Las vueltas que habrán realizado será el resultado de dividir 72 entre el tiempo que tardan en dar una vuelta

Mayor: = 4

Mediano: = 3

Pequeño: = 2

Soluciónes:

se vuelven a encontrar a los 72 min de la salida
El mayor dió 4 vueltas, el mediano 3 y el pequeño 2

6 0

3 years ago

Find the three angles of a triangle if the sum of the first angle and twice the second equals the third and, and if four times t

Anna71 [15]

Answer:

First Angle = 45°

Second Angle = 30°

Third Angle = 105°

Step-by-step explanation:

First angle + 2(Second angle ) = Third Angle

4(second angle) = Third Angle + 15°

or, Third angle = 4(second angle) - 15° ...(1)

⇒First angle + 2(Second angle ) = 4(second angle) - 15°

or, First angle = 2(second angle) - 15° ... (2)

Now by ANGLE SUM PROPERTY of a triangle:

First angle+ Second angle + Third Angle = 180°

Now, putting the values of (1) , (2) in above expression,

{2(Second angle) - 15° } + Second angle +{ 4(second angle) - 15°} = 180°

is the required equation.

or, 7(Second angle) - 30° = 180°

or, 7(Second angle) = 30° + 180° = 210°

⇒ Second angle = 210°/ 7 = 30°

Now, First angle = 2(second angle) - 15°

= (2 x 30°) - 15° = 45°

and, Third angle = 4(second angle) - 15°

= 4 x 30° - 15° = 120 - 15° = 105°

5 0

4 years ago