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Aleonysh [2.5K]
3 years ago
6

Find the measure of angle T. Please help it’s for a test

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

80 degrees

Step-by-step explanation:

A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.

So if angle S = 100,then  angle consecutive T is its supplementary (They add to 180)

180-100 = 80

Angle R also = 80

Angle U  =100 (congruent to its opposite

100+100+80+80 = 360

Sum of angles in a  rectangle = 360 degrees.

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URGENT!!!!!!!!!!!!!!!!!!
34kurt

Given that f(x)=3 \log_{10}x

And g(x)=9 \log_{10}x

Comparing both functions we see that g(x) is 3 times more than f(x) so we can write:

g(x)=3 f(x)

Now using g(x)=3 f(x), we have to tell what type of transformation occurs from f(x) to g(x).

Remember that when some number is multiplied with f(x) then that either compresses or stretches the given function.

when multiplied number is greater than 1 the it creates stretch.

in g(x)=3 f(x), we see that multiplied number 3 is more than 1 so that indicates stretch.

Hence choice D) g(x) stretches vertically by factor of 3. is correct.

5 0
3 years ago
30 POINTS PLEASE ANSWER ASAP. The Diagram shows the front wooden wall of the warehouse in the shape of a trapezoid with a rectan
jolli1 [7]

Answer:

900 sq ft

Step-by-step explanation:

The area of a trapezoid is (Base 1 + Base 2) * height/2. So to plug the numbers in...

(30+60)20/2

90*20/2

1800/2

900 sq ft

8 0
3 years ago
Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
kupik [55]

Answer:

(a)\ T_{a,b} =(x +a,y+b)

(b)\ F_{y\ axis} = (-x,y)

(c)\ F_{x\ axis} = (x,-y)

(d)\ R_{o,90^o} = (-y,x)

(e)\ R_{o,180^o} = (-x,-y)

(f)\ R_{o,270^o} = (y,-x)

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

T_{a,b} =(x +a,y+b)

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

F_{y\ axis} = (-x,y)

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

F_{x\ axis} = (x,-y)

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

R_{o,90^o} = (-y,x)

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

R_{o,180^o} = (-x,-y)

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

R_{o,270^o} = (y,-x)

6 0
3 years ago
What is a limited liability company?
Alla [95]

A Limited Liability Company or LLC is a cross between a corporation and partnership.  It basically combines the protections of a corporation and the flexibility of a partnership. For one, members of this kind of company are not liable for debts and they are able to file an informal tax return.

3 0
3 years ago
What is the area of the triangle formed from (-2,2), (1,2) and (0,-6)
Aleks04 [339]

Answer:

I think it's 12

Step-by-step explanation:

Hope it helps!

5 0
3 years ago
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