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podryga [215]
2 years ago
11

Find UX and the area of △UVW.

Mathematics
1 answer:
Mkey [24]2 years ago
7 0

Answer:

UX ≈ 4.5

△UVW = 49.5 ft²

Step-by-step explanation:

[] We can assume that UX is the midline of this triangle.

22 ft / 2 = 11 ft

XW and VX = 11 ft

[] Now that we have 2 sides of a right traingle, we can find the third.

a² + 11² = 12²

a² + 121 = 144

a² = 20

a = about 4.5, which is side UX

[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2

22 * 4.5 = 99

99 / 2 = 49.5 ft²

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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Margarita [4]

There are 28 students in first period and 56 students in sceond period and 74 students in third period

<em><u>Solution:</u></em>

Let the number of students in first period be "x"

Let the number of students in second period be "y"

Let the number of students in third period be "z"

<em><u>There are 158 students registered for American History classes.</u></em>

Therefore,

x + y + z = 158 ---------- eqn 1

<em><u>There are twice as many students registered in second period as first period</u></em>

number of students in second period = twice of number of students in first period

y = 2x ------- eqn 2

<em><u>There are 10 less than three times as many students in third period as in first period</u></em>

number of students in third period = 3 times number of students in first period - 10

z = 3x - 10 ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

x + 2x + 3x - 10 = 158

6x = 168

<h3>x = 28</h3>

<em><u>Substitute x = 28 in eqn 2</u></em>

y = 2(28)

<h3>y = 56</h3>

<em><u>Substitute x = 28 in eqn 3</u></em>

z = 3(28) - 10

z = 84 - 10

<h3>z = 74</h3>

Thus there are 28 students in first period and 56 students in sceond period and 74 students in third period

5 0
2 years ago
3x + y - z= -6<br> 2x - y + 2z = 8<br> 4x + y - 3z = -21
Flauer [41]

Answer:

x=-1

y=4

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Step-by-step explanation:

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2x - y + 2z = 8(2)

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(4)+(5): 11x=-11

x=-1

so z=2-5x=7

y=-6-3x+z=4

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