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elena55 [62]
3 years ago
15

Parallel lines j and k are cut by a transversal l. What is mT in the diagram below?

Mathematics
2 answers:
frozen [14]3 years ago
5 0

Answer:

30 degrees

Step-by-step explanation:

mars1129 [50]3 years ago
4 0

Answer:

A. 30°

Step-by-step explanation:

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What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.
In-s [12.5K]

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

\longrightarrow 15x + 18y = 270

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

\longrightarrow 18y = -15x +270\\

\longrightarrow y =\dfrac{-15x+270}{18}\\

\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\

\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4}

Recall the slope intercept form of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>c</u><u> </u>.On comparing to which we get ,

\longrightarrow m =\dfrac{-5}{6}

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)

Hence ,

\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}

And we are done !

6 0
3 years ago
Read 2 more answers
What is the arc length of the shaded region to the nearest tenth?
Maslowich

Answer:

285

Step-by-step explanation:

The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.

We also know that the area of the circle is \pi r^{2} but we are finding a portion of that, therefore we would need to multiply it by (\frac{270}{360} ). The radius is also given which is 11.

Area of the shaded region = (\frac{270}{360}) * \pi 11^{2} = 285

4 0
3 years ago
What is the equation of a parabola containing the points (0,0), (1,-2), and (-1,-4)
Savatey [412]

Answer: Y= 3x∧2+x

Step-by-step explanation:

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5 0
3 years ago
Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 bl
ira [324]

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be 5x.

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

x+5x=120

6x=120

\frac{6x}{6}=\frac{120}{6}

x=20

Number of blocks built by Colton: 5x=5\cdot 20=100.

Therefore, Colton had build 100 blocks.

5 0
3 years ago
Carla trabaja en el área de compras de una empresa que tiene 8 sucursales a lo largo de Chile. A pedido de su jefe necesita comp
Anvisha [2.4K]

Answer:

Los gastos totales en los que incurre Carla = (36x + 28y + 3z) pesos

Step-by-step explanation:

A partir de la pregunta, a continuación se proporciona la cantidad de elementos necesarios:

21 lápices, 8 carpetas, 3 broches, 10 resaltadores, 6 blocs de notas adhesivas y 9 rotuladores.

Los precios de cada artículo se dan a continuación

Precio de cada lápiz = x pesos

Precio de cada carpeta = y pesos

Precio de cada broche = z pesos

El precio de cada resaltador es el doble que el de cada carpeta

= 2 × y pesos

= 2y pesos

El precio de cada barra de notas adhesivas es el doble del precio de cada lápiz

= 2 × x pesos

= 2x pesos

El precio de cada marcador (bolígrafo) es el triple del precio de cada lápiz.

= 3 × x pesos

= 3x pesos

Indique el gasto total en el que incurrirá Carla.

Los gastos totales en los que incurrirá Carla =

(21 × x pesos) + (8 × y pesos) + (3 × z pesos) + (10 × 2y pesos) + (6 × x pesos) + (9 × x pesos)

= (21x + 8y + 3z + 20y + 6x + 9x) pesos

Recopilar términos similares

= (21x + 6x + 9x + 8y + 20y + 3z) pesos

= (36x + 28y + 3z) pesos

Por lo tanto, los gastos totales en los que incurre Carla = (36x + 28y + 3z) pesos

6 0
3 years ago
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