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Igoryamba
3 years ago
14

Given: UR ∥ ST ∠R, ∠T right angles Prove: ∆RSU ≅ ∆TUS

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

It is proved that ∆ R S U ≅ ∆ T U S

Step-by-step explanation:

Compare Δ R S U & Δ T U S

∠ R = ∠ T

Side S U is common in both triangle.

So in these two triangles one angle & one side are same, so Property of similarity of triangles is satisfied. so

∆ R S U ≅ ∆ T U S

Proved.

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The second hand on a clock is 8 \text{ cm}8 cm8, space, c, m long. What is the distance the tip of the second hand travels in 10
arsen [322]

Answer:

The distance the tip of the second hand travels in 10 minutes is 502 cm.

Step-by-step explanation:

Given : The second hand on a clock is 8 cm long.

To find : What is the distance the tip of the second hand travels in 10 minutes?

Solution :

The circumference of clock is C=2\pi r

The radius is r=8 cm

C=2\times 8\times \pi

C=16\pi

i.e. in 1 minute it cover  16\pi

In 10 minutes it cover  16\pi\times 10

In 10 minutes it cover  160\times 3.14

In 10 minutes it cover  502.4

Therefore, the distance the tip of the second hand travels in 10 minutes is 502 cm.

5 0
3 years ago
What is the first step to show that two lines are parallel, by looking at the equations of the lines, if they are written in sta
kotykmax [81]
<span>You do need the slope. It's not obvious in "Standard Form". Ax + By = C ==> y = -(A/B)x + (C/B) There's your slope to compare. Find -A/B for each. 3x + 2y = 4 ==> Slope = -3/2 6x + 4y = 5 ==> Slope = -6/4 = -3/2 3x + y = 4 ==> Slope = -3 The top two examples COULD be parallel. If the constant is the same, that's a bit sneaky because they are really the SAME line. That's not really parallel.</span>
6 0
3 years ago
Given the angle measures of a triangle are 3x + 6 degrees, 4x + 2 degrees and 10x + 2 degrees, determine the 3 angles in this tr
oee [108]

Answer:

36,42,102

Step-by-step explanation:

A triangle is 180° total so your equation to find x is:

3x+6+4x+2+10x+2=180°

17x+10=180

17x=170

x=10

to find the individual sides:

3(10)+6=36

4(10)+2=42

10(10)+2=102

to make sure this is right, add 36+42+102. It should equal 180 and it does

4 0
3 years ago
What is the mode of the data set?
Alex17521 [72]
1. the mode is 100 because 100 is the most common number in that sequence

2. the mean is 193.8 because if you add up 108, 306, 252, 113, and 191 then divide that by 5 you get 193.8
5 0
4 years ago
Read 2 more answers
Please help, I don't understand this. (please no fake answers)
Anni [7]

19.4 units

Since we know 2l+2w equals the perimeter we can input what we know for l and w.

2*6.2 + 2*3.5

12.4 + 7

19.4 units

5 0
3 years ago
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