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2 years ago

I need this problem solved real quick

Mathematics

1 answer:

PIT_PIT [208]2 years ago

8 0

Let's take this problem step-by-step:

The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'

⇒ is on a straight line

⇒ sum of angle measure = 180 degrees

$unlabeled_.angle+78 = 180\\unlabeled_.angle = 102$

Now we know:

⇒ sum of all angles in a triangle ⇒ 180°

Let's put that in equation form and solve:

$x + 102 + 57=180\\x + 159=180\\x = 21$

Answer: 21°

Hope that helps!

#LearnwithBrainly

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3 years ago

Wanni cycled 6 km from her house to the school at a uniform speed, v km/h. If she increased her speed

Karolina [17]

Answer:

The quadratic equation in terms of v is v² + 2 v + 180 = 0

Step-by-step explanation:

Given as :

The distance between house to the school = d = 6 km

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So, Time = $\dfrac{\textrm Distance}{\textrm speed}$

or, t = $\dfrac{\textrm d}{\textrm v}$

Or, t = $\dfrac{\textrm 6}{\textrm v}$

Now, Again

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Now, Time = $\dfrac{\textrm Distance}{\textrm speed}$

So, (t - $\dfrac{1}{15}$ ) = $\dfrac{\textrm d}{\textrm v}$

Or, (t - $\dfrac{1}{15}$ ) = $\dfrac{\textrm 6}{\textrm (v + 2)}$

Or , $\dfrac{\textrm 6}{\textrm v}$ - $\dfrac{1}{15}$ = $\dfrac{\textrm 6}{\textrm (v + 2)}$

Or , $\dfrac{\textrm 90 - v}{\textrm 15 v}$ = $\dfrac{\textrm 6}{\textrm v + 2}$

Or, (90 - v) × (v + 2) = 6 × 15 v

Or, 90 v - 180 - v² - 2 v = 90 v

Or, v² + 2 v + 180 = 90 v - 90 v

Or, v² + 2 v + 180 = 0

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v² + 2 v + 180 = 0

Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer

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4 years ago

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wolverine [178]

Answer:

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4 years ago

Three numerical expressions that are equivalent to (0.0004) x (0.005)

zzz [600]

Answer:

Numerical expression 1

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Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

Step-by-step explanation:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

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3 years ago

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Answer:

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