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dusya [7]
3 years ago
13

I did 3 over 7 then 8 over x. I'm getting decimals. ‍♀️

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

The length of side <em>b</em> is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle ABC is similar to the triangle XYZ. Therefore the following relation must be true:

                                                      \frac{AB}{AC} =\frac{XY}{XZ}

We know that side AB is equal to 8, side AC is equal to <em>b, </em>side XY is equal to 2\frac{2}{3}, and side XZ is equal to 3.

Substituting these values into the above relation and solving for <em>b</em> we get that:

\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9

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The Earth's circumference measured at the equator is approximately 1.3148 × 108 feet. What is the number written in standard for
maks197457 [2]

Answer:

The number written in standard form is 131,480,000

Step-by-step explanation:

we have

1.3148*10^8

we know that

10^8=100,000,000

substitute

1.3148*10^8=1.3148(100,000,000)

Remember that

When multiplying decimals by 10, move the decimal point one space to the right

In this case move the decimal point eight spaces to the right

1.3148(100,000,000)=131,480,000

therefore

The number written in standard form is 131,480,000

4 0
3 years ago
Darian gets paid $6.35 an hour to help out at his dad's shop. He also mows his neighbor's lawn each week for $25. He earned $119
nevsk [136]
$119.85 is the total amount he earned in 2 weeks
He mows his neighbor's lawn each week for $25...So if he mows for 2 weeks it should be
$25×2=$50
Darian gets paid $6.35 an hour to help out at his dad's shop...
Let X be the number of hours Darian worked at his dad's shop in the two weeks
So we can now make an equation to find X

(X×$6.35)+($25×2)=$119.85
(X×$6.35)+$50=$119.85
X×$6.35=$119.85-$50
X×$6.35=$69.85
X=$69.85÷$6.35
X=11

Therefore the number of hours Darian worked at his dad's shop in those two weeks is 11
4 0
3 years ago
Read 2 more answers
A forester planted 3 acres in seedlings the first day, 5 acres the second day, and
Yanka [14]

Answer:

9 acres remain

Step-by-step explanation:

First day:

3 acres

Second day:

5 acres were planted. 5 + 3 = 8

Third day:

4 acres were planted. 4 + 8 = 12

If 3 acres were destroyed, we just subtract!

12 - 3 = 9.

9 acres of seedlings remain.

I hope this helped! :)

6 0
3 years ago
Gemoetry <br> PLEASE HELP!!
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

the triangles are similar because they are proportional. the 3 sides of 2 triangles fall in a particular table.

6 0
2 years ago
X+2=-2x+8<br> I am stuck
Irina-Kira [14]

Answer:

the correct answer is x = 2

3 0
3 years ago
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