Which of the following statements is TRUE about the midline of a trapezoid?
A. It bisects only one of the legs.
B. It is perpendicular to the beses.
C. It connects any two corners of the trapezoid.
D. Its length is half the sum of the mercutrements of the bases​

Answer:

x^2 - 1 = 0

Im not sure if this is how you want it but its one of the ways to answer this problem

Answer:

15.9

Step-by-step explanation:

Draw CE and CF

Note ∠ECD = ∠CFD and ∠D = ∠D

so ΔCED ~ ΔFCD

then ED : CD = CD : PD

CD² = ED x PD = 12 x (9 + 12) = 252

CD = 15.9

Answer:

exactly 135 grandparents

Step-by-step explanation:

Here, it asks us for how many grandparents spend less than two hours online, which is 54% as that is what the sample result says. Now, you must what 54% of 250 is to find the number of grandparents who spend less than 2 hours. To do this, you make 54% a decimal and multiply it with 250. You do 0.54 x 250, which gives you exactly 135 grandparents who spend less than two hours online.

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

The quadrilateral is given as: JKLM

The opposite angles are:

The opposite angles are supplementary

So, we have:

[tex]J + L = 180[/tex]

[tex]K + M = 180[/tex]

Next, we test the options

Option (a)

[tex]J + L = 180[/tex]

[tex]125 + 35 = 160[/tex]

This is not true

Option (b)

[tex]J + L = 180[/tex]

[tex]48 + 132 =180[/tex]

This is true

Option (c)

[tex]K + M = 180[/tex]

[tex]12 + 78 = 180[/tex]

This is not true

Option (d)

[tex]K + M = 180[/tex]

[tex]120 + 60 = 180[/tex]

This is true

Option (e)

[tex]K + M = 180[/tex]

[tex]72 + 108= 180[/tex]

This is true

Option (f)

[tex]J + L = 180[/tex]

[tex]105 + 75 = 180[/tex]

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

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157.5

$5.75 x 10 = 57.5

$2.25 x 20 = 45

$5.00 x 11 = 55

then you add all them together and you get 157.5

Step-by-step explanation:

when the exponent is an even number, the value is -1 and real.

when the exponent is uneven (odd), then the result is i and therefore imaginary.

i¹⁴ real

i⁴³ imaginary

i⁷ imaginary

i¹⁰ real

(4 - 5i)² = 4² - 40i + 25i² = 16 - 40i - 25 = -9 -40i imaginary

(7 + 2i)(7 - 2i) = 49 - 4i² = 49 + 4 = 53 real

I think you meant 5,244 ÷ 6 = 874.

Answer/Step-by-step explanation:

We can check if this 5,244 ÷ 6 = 874 is correct by doing it opposite.

Since it 5,244 divide 6 we can do 874 x 6.

  [tex]\left[8 7 4] \\[/tex]

×    [tex][6][/tex]

======

+ 5244

=======

5244

Hence, this answer is correct.

[RevyBreeze]

Answer:

2a + b

Step-by-step explanation:

volume = 8a³ + b³ + 12a²b + 6ab² = (2a + b)³

volume = ( Side of the cube )³

( Side of the cube )³ = (2a + b)³

Side of the cube = 2a + b

Answer:

Step-by-step explanation:

a) 76.2 dm = 76.2 * 100 = 7620 mm

b) 2.1 km  = 2.1 *100000 = 210000

c) 0.123 Kg = 0.123 * 1000 = 123 g

d) 2.278*10¹¹ km = 2.278*10¹¹ * 10⁵ = 2.278* 10¹¹⁺⁶ = 2.278*10¹⁷ cm

e) 500 nm = 5*10⁻¹⁰ km

f) 35 mm = 35÷ 1000 = 0.035 m

g) 450 cm = 450 *10 = 4500 mm

h) 250 km = 250 * 100000 = 25000000 cm

i) 1500 micro gram = 0.0015 g

Answer:

ANSWER ' A '

x - 4y = 8

Step-by-step explanation:

Answer:

55,57,59,,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97

Answer:

5x = 12

Step-by-step explanation:

Answer:

56584653984656x9486356986455867

Step-by-step explanation:

Answer:

d. Keep the base the same and then subtract the exponents.

Step-by-step explanation:

To simplify the expression, keep the base the same and then subtract the exponents, the correct option is D.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

[tex]\rm \dfrac{3^{-6}}{3^{-4}}[/tex]

According to the exponent rule

[tex]\rm m^a/m^b = m ^{a-b}[/tex]

3⁻⁶⁻⁽⁻⁴⁾

3⁻²

1/9

To know more about Expression

https://brainly.com/question/14083225

#SPJ5

Step-by-step explanation:

5x+1

if x=3

5*3+1

15+1

16

Answer:

16

Step-by-step explanation:

g(x)=5x+1

g(3)=5(3)+1

g(3)=15+1

g(3)=16

Answer:

what is this mi faster the other

Answer:

Present Value A=Rs.52,488

Depreciation rate r=10% per annum

Time t=4 years

Let initial value be P

We know the formula, A=P(1−100r)t

Substituting the given values, we get.

52,488=P[1−10010]4

52,488=P(0.9)4

P=0.656152488

P=Rs.80,000

Answer:

8.75

Step-by-step explanation:

2*2+2.25+2.5=4+4.75=8.75

*assuming the smudged fraction is 1/4

Answer:

yes

Step-by-step explanation:

6.80

6.75                         8 is greater then 7 therefore 6.80 is greater

Answer:

yes

Step-by-step explanation:

4+7 is greater than 9

Answer:

yes... the sides of an obtuse triangle has side lengths 4,7, and 9

Answer:

The value of f(-1) in the given equation is -10.

Step-by-step explanation:

When we see f(-1), it means that -1 is represented as our value of x. So, knowing this information, we can plug this into our given equation.

f(-1) = -3(-1)² + 2(-1) - 5

Simplify the exponent on -1.

f(-1) = -3(1) + 2(-1) - 5

Multiply -3 by 1.

f(-1) = -3 + 2(-1) - 5

Multiply 2 by -1.

f(-1) = -3 - 2 - 5

Subtract 2 from -3.

f(-1) = -5 - 5

Subtract 5 from -5.

f(-1) = -10

Answer:

The difference between value of y at x=11 is 385, the correct option is third

Step-by-step explanation:

Answer:

This is what I worked out

Explanation:

Basically, you can do it in many ways. But just, in my opinion, exactly linear algebra was made for such cases.

the optimal way is to do it with Cramer's rule.

First, find the determinant and then find the determinant x, y, v, u.

Afterward, simply divide the determinant of variables by the usual determinant.

eg. [tex]\frac{Dx_{} }{D}[/tex] and etc.

I think that is the best way to solve it without a hustle of myriad of calculations reducing it to row echelon form and solving with Gaussian elimination.

Answer:

x will be equal to 1 because 1 is bigger than 0 but smaller than 2

therefore x=1

The graph of the function is a linear function

The graph has no critical point

The points on the lines of the graphs are:

(x,y) = {(0,2) (4,0)}

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{0-2}{4 - 0}[/tex]

[tex]m =-0.5[/tex]

So, the linear equation is:

[tex]y = -0.5x + 2[/tex]

The above function is a linear function, and a linear function has no critical point

Hence, the graph has no critical point

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Answer: Rational numbers have decimal expansions that repeat or terminate.

Step-by-step explanation:

The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.

Answer:

x=y

Step-by-step explanation: