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3 years ago

Find U of trapezoid TUVS

Mathematics

2 answers:

Gekata [30.6K]3 years ago

5 0

Answer:

$m\angle U = 103\degree$

Step-by-step explanation:

$m\angle T + m\angle S = 180\degree$ (interior angles on the same side of transversal)

$m\angle T + 77\degree = 180\degree$

$m\angle T = 180\degree- 77\degree$

$m\angle T = 103\degree$

$m\angle U =m\angle T$

(base angles of an isosceles trapezoid)

$m\angle U = 103\degree$

igor_vitrenko [27]3 years ago

4 0

Answer:

$m$

Step-by-step explanation:

The given trapezoid is an isosceles trapezoid, meaning that the two legs of the trapezoid (sides that intersect the parallel lines) are congruent. One of the proprieties of an isosceles trapezoid is that the opposite angles are supplementary, meaning that the sum of the opposite angles is 180. One can apply this theorem here by stating the following,

$m$

Substitute,

$77+m$

Inverse operations,

$77+m$

$-77$

$m$

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In-s [12.5K]

Answer: $1590cm^3$

Step-by-step explanation:

$V=\frac{3\sqrt{3} }{2}a^2h$

a = base

h = height

$V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)$

Solve the parentheses squared first.

$V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)$

2 and 36 can be simplied

2/2=1

36/2=18

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$V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3$

Rounded to the nearest whole number... $1590cm^3$

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3 years ago

What is square root of 167?

enot [183]

The square root of 167 would be 12.922847. If you need it rounded to the nearest tenth it would be 12.9

If you need t rounded to the nearest hundredth, it would be 12.92.

Hope this helps :)

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3 years ago

HELP PLS FOR 10 POINTS AND BRAINLIEST TO CORRECT ANSWER The cost, C, to ride in a taxi can be calculated using the function show

max2010maxim [7]

9514 1404 393

Answer:

A. $0.85

Step-by-step explanation:

Each time m increases by 1, the cost goes up by $0.85.

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3 years ago

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Morgarella [4.7K]

Number of game tokens is the label on x-axis.

<u>Step-by-step explanation</u>:

The equation is y = 0.5x + 3

Given,

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3 years ago

A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco

bekas [8.4K]

answer:

$f(t) = -9.9788169(t -0.76)^2 +57$

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is $f(x)= a(x-p)^2 +q$ , where (p,q) is the turning point. now we substitute the turning point

$f(t) = a(t-0.76)^2 + 57$ , now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a then we substitute a to get the quadratic equation therefore f is

$f(t) = -9.9788169(t-0.76)^2 +57$

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3 years ago