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3 years ago

Two parallel lines are crossed by a transversal

Mathematics

1 answer:

Olegator [25]3 years ago

8 0

B. H=60
180degrees-120degrees=60degrees

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Thirty six plus b is greater than negative twenty four b plus negative sixty four

8_murik_8 [283]

Answer:

Step-by-step explanation:

36 + b > -24b + (-64)

24b + b > -36 - 64

25b > 100

b > 100/25

b > 4

8 0

3 years ago

If a student has 70 dollars and spends 1/5

Pavlova-9 [17]

Answer:

then he would have $56 dollars left

3 0

3 years ago

Read 2 more answers

An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i

Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = $\sqrt{(15-x)^2+1^2}$

The total time, 't', is given as follows;

$t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}$

The minimum value of 't' is found by differentiating with an online tool, as follows;

$\dfrac{dt}{dx} = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} = \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }$

At the maximum/minimum point, we have;

$\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0$

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

$t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89$

Therefore, the distance to run, x ≈ 14.96 mile

6 0

2 years ago

. Simplify an expression for the area of the rectangle shown above

mel-nik [20]

8x+3x5=66 there you go

3 0

2 years ago

What is the slope of the line that passes through the points (-2, -3), and (5, 4)?

fomenos

Hi!

<h3>To find the slope, use this formula</h3>

$\frac{y2-y1}{x2-x1}$

<h3>Put in the values</h3>

$\frac{4-(-3)}{5-(-2)}=\frac{7}{7}simplify=1$

<h2>The slope is 1 </h2>

Hope this helps! :)

-Peredhel

4 0

3 years ago