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marshall27 [118]
3 years ago
7

In triangle RST, RS=10, RT=15, and measurement R=32. In triangle UVW, Uv==12, UW=18, and measurement U=32. Are the polygons simi

lar? If they are, write a similarity statement and give the similarity ratio?
Mathematics
2 answers:
Drupady [299]3 years ago
7 0

Answer:

Yes.They are similar

Step-by-step explanation:

Given that In triangle RST, RS=10, RT=15, and measurement R=32. In triangle UVW, Uv==12, UW=18, and measurement U=32

Compare triangles RST and UVW

We have been given

angle U = angle R = 32

Also RS/UV =5/6

RT/UW =15/18 =5/6

Since one angle is equal, and proportion of two pairs of sides is equal

we find that the two triangles are similar

The proportionality ratio is 5:6

lina2011 [118]3 years ago
3 0
<span>The polygons are similar.

∆RST ∼ ∆UVW and the similarity ratio is 56. 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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marshall27 [118]

Answer:

6 is in ten place and its place value is 60, 3 is in ones place and its place value is 3.

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3 years ago
Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.
wlad13 [49]

Answer:

(a) Total = 45000

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

Kofi =5/9

Yaw = 2/15

Musa = 14000

Solving (a): The cost of the business

First, we solve for the fraction of Musa

Musa + Kofi + Yaw = 1

Musa = 1 - (Kofi + Yaw )

Musa = 1 - (5/9 + 2/15)

Musa = 1 - (\frac{25+6}{45})

Musa = 1 - \frac{31}{45}

Musa = \frac{45 - 31}{45}

Musa = \frac{14}{45}

So, we have:

\frac{14}{45} * Total = 14000

Make Total the subject

Total = 14000 * \frac{45}{14}

Total = 1000 * 45

Total = 45000

Solving (b): Partners in ascending order

First, represent the fractions as decimals

Kofi =5/9 = 0.5556

Yaw = 2/15 = 0.1333

Musa = \frac{14}{45} = 0.3111

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0
3 years ago
Solve for x: 1/2 (10x+6)=-2x+10
pickupchik [31]

Answer: x = 1

Step-by-step explanation:

substitute 1 for x

1/2(10(1)+6) = -2(1)+10

1/2(10+6) = -2+10

5+3 = -2+10

8=8

8 0
2 years ago
Hey what's the answer<br><img src="https://tex.z-dn.net/?f=%20-%2011a%283a%20%2B%202a%29" id="TexFormula1" title=" - 11a(3a + 2a
allsm [11]

Answer:

- 11a(3a + 2b) \\  =  - 11 \times 3 \times a \times a + ( - 11 \times 2 \times a \times a) \\  =  - 33 {a}^{2}  - 22ab

<em><u>I </u></em><em><u>hope </u></em><em><u>it </u></em><em><u>helps</u></em>

<em><u>have </u></em><em><u>a </u></em><em><u>great </u></em><em><u>day </u></em>

<em><u>#Liliflim✌️</u></em>

7 0
3 years ago
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You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W
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Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be  area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.
6 0
3 years ago
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