Answers are O - 17 O - 16 O - 15 O - (-16)

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

Interior angles on parallel lines cut by a traversal are supplementary (they add up to 180°). These can be identified as "c" angles, due to their shape. Knowing this, we can figure out the value of x:
7x+(2x+36)=180
7x+2x+36=180
Simplify the equation
9x+36=180
Collect like terms
9x=144
Divide by 9 on both sides to isolate x
x=16

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Please answer below :-)

Evgen [1.6K]

Answer:

$2\frac{7}{10}$

Step-by-step explanation:

First, find the LCM and multiply through:

$12(\frac{2x-1}{4} ) +12(\frac{x}{3})=12(2)$

The LCM will cancel out the denominators (note that braket symbolizes Multiplication):

:3(2x-1) +4(x)=24

:6x-3+4x=24

Group like terms:

6x+4x=24+3

10x=27

Divide through by 10 to eliminate the coefficient of x

$\frac{10x}{10}=\frac{27}{10}$

: x= $\frac{27}{10}=2\frac{7}{10}$

3 0

2 years ago

Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowe

marta [7]

Answer:

Option (A)

Step-by-step explanation:

Heights above the sea level are denoted with positive notations and depths below the sea level with negative.

Height of the highest peak of the mountain = +2228 meters

Lowest point of the lake = -15 meters

Difference between these elevations = 2228 - (-15)

= 2243 meters

Therefore, Option (A) will be the correct option.

6 0

3 years ago

0=4t-16t^2 Solve this please

vaieri [72.5K]

Answer:

$\large\boxed{t=0\ \vee\ t=\dfrac{1}{4}}$

Step-by-step explanation:

$4t-16t^2=0\qquad\text{divide both sides by 4}\\\\\dfrac{4t}{4}-\dfrac{16t^2}{4}=\dfrac{0}{4}\\\\t-4t^2=0\\\\t(1-4t)=0\iff t=0\ \vee\ 1-4t=0\\\\1-4t=0\qquad\text{subtract 1 from both sides}\\\\-4t=-1\qquad\text{divide both sides by (-4)}\\\\t=\dfrac{1}{4}$