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2 years ago

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

Mathematics

1 answer:

stellarik [79]2 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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Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?

Tju [1.3M]

Answer:

$Maximum\ value\ =9 ,at\ x=3$

Step-by-step explanation:

From the question we are told that:

Function given

$f(x) = -x^2 + 6x$

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

$-2x+6$

Therefore critical point

$x=3$

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

$F(1)=-(1)^2 + 6(1)\\F(1)=5$

For 4

$F(4)=-(4)^2 + 6(4)\\F(4)=8$

For critical point 3

$F(3)=-(3)^2 + 6(3)\\F(3)=9$

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

$Maximum\ value\ =9 ,at\ x=3$

3 0

2 years ago

Read 2 more answers

Show how to use the distributive property to simplify 4(5+x)

nalin [4]

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

7 0

3 years ago

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The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child is 3 years older than t

kondaur [170]

Answer:

the oldest sibling is 12 years old.

The middle child is 9 years old.

The youngest child is 6 years old.

Step-by-step explanation:

Let the age of the youngest child be x

Then the oldest child will be 2x.

The middle child will be x + 3.

Since the combined age is 27;

x + 2x + x + 3 = 27

4x = 27 - 3

x = 24 / 4

x = 6

now 2x = 12 and x + 3 = 9

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2 years ago

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roberto needs to convert the equation 3x + y = -5 into slope-intercept form. why is able to add or subtract the variable term fr

dimulka [17.4K]

3x + y = -5

-3x + 3x + y = -3x - 5

y = -3x - 5

7 0

2 years ago

ABCD is a parallelogram. Segment AC = 4x + 10. Find the value of x and y.

valkas [14]

Answer:

The values of x and y in the diagonals of the parallelogram are x=0 and y=5

Step-by-step explanation:

Given that ABCD is a parallelogram

And segment AC=4x+10

From the figure we have the diagonals AC=3x+y and BD=2x+y

By the property of parallelogram the diagonals are congruent

∴ we can equate the diagonals AC=BD

That is 3x+y=2x+y

3x+y-(2x+y)=2x+y-(2x+y)

3x+y-2x-y=2x+y-2x-y

x+0=0 ( by adding the like terms )

∴ x=0

Given that segment AC=4x+10

Substitute x=0 we have AC=4(0)+10

=0+10

=10

∴ AC=10

Now (3x+y)+(2x+y)=10

5x+2y=10

Substitute x=0, 5(0)+2y=10

2y=10

$y=\frac{10}{2}$

∴ y=5

∴ the values of x and y are x=0 and y=5

5 0

3 years ago