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3 years ago

15

Juan runs out of gas in a city. He walks 30 yards west and then 16yards south looking for a gas station. How far is he from his

starting point?

1 answer:

iragen [17]3 years ago

5 0

We need to calculate the hypotenuse; Juan is located on a right triangle.
34 yards

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Need help with 9 please

Debora [2.8K]

Answer:

x = 5

y = 1

Step-by-step explanation:

So move 2y from the second equation to the other side of the equals sign

2x +3y = 13

x = 3 + 2y

From here substitute X into the first equation

2(3 + 2y) + 3y = 13

Distribute

6 + 4y +3y = 13

Combine like terms and solve for y

7y = 7

y = 1

insert result into the original equation.

x-2(1) = 3

x - 2 = 3

x = 5

insert into other equation to check work

2(5) + 3(1) = 13

10 + 3 = 13 correct

6 0

3 years ago

Hemp help help help help help math math math

Dovator [93]

Answer:

x=25

Step-by-step explanation:

5x-5+ 2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

5 0

3 years ago

are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of

galben [10]

Answer:

The best estimate of the area of the larger figure is $693\ cm^{2}$

Step-by-step explanation:

step 1

<em>Find the scale factor</em>

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

$z=\frac{x}{y}$

we have

$x=12\ cm$

$y=9\ cm$

substitute

$z=\frac{12}{9}=\frac{4}{3}$ -----> the scale factor

step 2

<em>Find the area of the larger figure</em>

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

$z^{2}=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=390\ cm^{2}$

substitute and solve for x

$(\frac{4}{3})^{2}=\frac{x}{390}$

$(\frac{16}{9})=\frac{x}{390}$

$x=390*16/9=693.33\ cm^{2}$

4 0

3 years ago

Find the value of the variable and GH if H is between G and I. GI=5b+1, HI=4b-5, HI=7

fgiga [73]

Answer:

The value of the variable 'b' is 3 and GH is 9

Step-by-step explanation:

Given:

$GI = 5b+1\\\\HI=4b-5\\ \\HI=7$

H is between G and I

Such that G - H - I

To Find:

GH = ?

Solution:

On Substituting HI we get

$4b-5=7\\\\\therefore 4b=7+5=12\\\\b=\dfrac{12}{4}=3$

Substituting 'b' in HI and GI we get

$HI=4\times 3 -5=12-5=7\\\\\therefore HI = 7$

$GI=5\times 3 +1=15+1=16\\\\\therefore GI = 16$

Now, by Line Addition Property we get

$GI=GH+HI$

Substituting 'HI' and 'GI' we get

$16=GH+7\\\\\therefore GH=16-7=9$

The value of the variable 'b' is 3 and GH is 9

4 0

3 years ago

How many and what type of solutions does the equation have?<br> 5y2 = 187 – 4

Gennadij [26K]

Answer:

Two solutions.

5 0

3 years ago