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Juliette [100K]
3 years ago
13

Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and th

e length of side S T is 16. The length of side T U is 8 and the length of U V is 6. Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

Mathematics
2 answers:
nydimaria [60]3 years ago
8 0

Answer:

A

Step-by-step explanation:

I took the test

il63 [147K]3 years ago
6 0

Answer:

StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U

Step-by-step explanation:

The expression below means RS/VU = ST/UT

See the attachment for better explanation.

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The sales tax on a surfboard is $12. What is the percent of sales tax?
Rudik [331]
X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)


Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %

The sales tax is 5%.

Hope this helps! :)


8 0
3 years ago
Write the following number as ratios of integers
Grace [21]

We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:

x=-2.0\overline{42}

Next, to get rid of the negative, we can multiply either side by -1 to get

-x=2.0\overline{42}

Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:

-10x=20.\overline{42}

and the other by multiplying either side by 1000:

-1000x=2042.\overline{42}

Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:

-1000x-(-10x)=2042.\overline{42}-20.\overline{42}\\ -1000x+10x=2022\\ -990x=2022

And finally, we can divide either side of the equation by -990 to find that

x= \frac{2022}{-990}=-\frac{2022}{990}\div \frac{6}{6}=-\frac{337}{165}

5 0
3 years ago
Find the solution(s) to the system <br>y = x2-4 <br>y = -2x – 5 <br><br>​
katen-ka-za [31]

Answer:

=(-1,-5)

Step-by-step explanation:

y=X1=4

y=-2x-5-2

4 0
1 year ago
A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides wont require fencing) She
docker41 [41]
The area enclosed is (2x)(600-2x).(2x)(600−2x)=1200x−4x2
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
<span>The area is: 45000</span>
6 0
2 years ago
Read 2 more answers
You are applying fertilizer to a football field. The field is 360 feet long and 160 feet wide. You use 8 pounds of fertilizer pe
Assoli18 [71]

Answer: 10 bags

Step-by-step explanation:

First we must calculate the field area. Assuming it is a rectangle then its area equals the product of its length times its width

A =360*160\\\\A = 57600 ft^2

You use 8 pounds of fertilizer per 1,000 square feet

So the amount of fertilizer you should use is:

57,600 ft^2 * \frac{8\ pounds}{1,000\ ft^2} = 460.8\ pounds

As the fertilizer comes in bags of 50 pound then you need

460.8\ pounds * \frac{1\ bag}{50\ pounds} = 9.2\ bags

Since you can not buy 9.2 bags then we round up to the next whole number.

Finally you need 10 bags of fertilizer

6 0
3 years ago
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