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3 years ago

Im really bad at word problems can anyone help ??? Tryna graduate

Mathematics

1 answer:

spayn [35]3 years ago

5 0

Let Hong lives at a distance of d miles from mountains .

We have to use the formula of speed, distance and time, which is

$speed= \frac{distance}{time}$

On droving to the mountain,

$speed = \frac{d}{10}miles/hour$

On droving back to home,

$speed =\frac{d}{7}miles/hout$

The difference between the two speeds = 18miles per hour, that is

$\frac{d}{7}- \frac{d}{10}=18$

$3d = 18*70$

$d = 420 miles$

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3y + 7 =28 how do I solve

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Answer:

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3y+7=28

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4 years ago

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Look at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decreas

Verdich [7]

Answer:

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

$x=\frac{(n-2)}{n}(180^o)$

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

Examples

A triangle

n=3 sides

$x=\frac{(3-2)}{3}(180^o)=60^o$

A square

n=4 sides

$x=\frac{(4-2)}{4}(180^o)=90^o$

A pentagon

n=5 sides

$x=\frac{(5-2)}{5}(180^o)=108^o$

A hexagon

n=6 sides

$x=\frac{(6-2)}{6}(180^o)=120^o$

n ----> 3,4,5,6...

x ----> 60°,90°,108°,120°,...

As the number of sides increases, the measures of the angles increase

The pattern is $x=\frac{(n-2)}{n}(180^o)$

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4 years ago

Contains the point (-1, 2) and is parallel to x – 2y = -3

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = $\frac{1}{2}$ x + $\frac{3}{2}$ ← in slope- intercept form

with m = $\frac{1}{2}$

• Parallel lines have equal slopes, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - $\frac{1}{2}$ + c ⇒ c = 2 + $\frac{1}{2}$ = $\frac{5}{2}$

y = $\frac{1}{2}$ x + $\frac{5}{2}$ ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

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4 years ago