Which of the following is NOT one of the angle measures?

Answer:

Step-by-step explanation:

Adjacent angles of parallelogram are supplementary.

∠A + ∠D = 180

Divide both sides by 2

[tex]\frac{1}{2}[/tex] ∠A + [tex]\frac{1}{2}[/tex] ∠D = 90

∠PAD + ∠ADP = 90       --------------------(I)

IN ΔPAD,

∠PAD + ∠ADP + ∠APD = 180 {angle sum property of triangle}

90  + ∠APD = 180         {from (I)}

          ∠APD = 180 - 90

         ∠APD = 90

∠SPQ = ∠APD             {vertically opposite angles}

∠SPQ = 90°

Similarly, we can prove ∠PQR = 90° ; ∠QRS = 90° and ∠RSP = 90°

In a quadrilateral if each angle is 90°, then it is a rectangle.

PQRS is a rectangle.

Answer:

122

Step-by-step explanation:

[tex]x^6+y^2[/tex]

Plug in 1 for x and 11 for y

[tex]=1^6+11^2[/tex]

1 to the power of any number will always equal 1

[tex]=1+11^2\\=1+121\\=122[/tex]

I hope this helps!

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

Answer:

1/5

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Next let's find the midpoint of BC.

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

Answer:

2 dollars each I think........

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

Answer:

Step-by-step explanation:

r=6.7

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

As you said, the equation is separable:

dy/dt = 2t / exp(y)

exp(y) dy = 2t dt

Integrate both sides:

∫ exp(y) dy = ∫ 2t dt

exp(y) + C₁ = t ² + C₂

Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:

exp(y) = t ² + C

Solve for y explicitly by taking the logarithm of both sides:

ln(exp(y)) = ln(t ² + C )

y = ln(t ² + C )

C can be any number; if it happens to be 0, then you have

y = ln(t ²) = 2 ln(t )

so B is the correct choice.

You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)

For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become

2 exp(t ) = 2t / exp(2 exp(t ))

which is clearly (I hope) not true.

Answer:

Option A. x = 8

Step-by-step explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are congruent

WX ≅ DC

XY ≅ CY

WY ≅ DY

∠WXY ≅ ∠DCY

∠XWY ≅ ∠CDY

∠WYX ≅ ∠DYC

Answer:

5 years

Step-by-step explanation:

Hope I helped!

it is gonna be c trust me I know for a fact

Step-by-step explanation:

Hi...

You ask any irrelevant Question, that is why they get deleted.

Answer:

by adding. positive, you move towards right.

Answer:

Right

Step-by-step explanation:

when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....

its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0

a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress

Answer:

y - 7 =  [tex]-\frac{1}{4}[/tex] (x - 4)

Step-by-step explanation:

Find Slope: m = [tex]\frac{y_{2-}y_{1} }{x_{2-}x_{1} }[/tex]

m = [tex]\frac{6-(7)}{8-(4)}[/tex]

m = [tex]\frac{-1}{4}[/tex]

Point Slope Form: y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

y - 7 = [tex]-\frac{1}{4}[/tex] (x - 4)

Answer:

33

Step by step explanation of the answer

Answer:

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Step-by-step explanation:

The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:

[tex]A = x\cdot y[/tex] (1)

[tex]p = 2\cdot x +y[/tex] (2)

Where:

[tex]x[/tex] - Width, measured in metres.

[tex]y[/tex] - Height, measured in metres.

Note: We assume that height of the rectangle is parallel to the wall of the house.

By (2):

[tex]y = p - 2\cdot x[/tex]

In (1):

[tex]A = x\cdot (p-2\cdot x)[/tex]

[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)

Then, we obtain its first and second derivatives by Differential Calculus:

[tex]A' = p - 4\cdot x[/tex] (4)

[tex]A'' = -4[/tex] (5)

By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:

[tex]x = \frac{p}{4}[/tex]

And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:

[tex]x = 100\,m[/tex]

[tex]A = 20000\,m^{2}[/tex]

And the height of the triangle is:

[tex]y = 200\,m[/tex]

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Answer:

(a-b-c)(X^2-Y)

Step-by-step explanation:

DONE!!

Answer:

x<-13

Step-by-step explanation:

−3(x+3)>30

Divide both sides by −3. Since −3 is negative, the inequality direction has changed.

x+3<30/-3

Divide 30 by −3 to get −10.

x+3<−10

Subtract 3 from both sides.

x<−10−3

Subtract 3 from −10 to get −13.

x<−13

Graph for inequality:

Answer:

$159.75

Step-by-step explanation:

137.45/252.60 + x = 1/3

252.60 + x = 412.35

x = 412.35 - 252.60

x = 159.75

Answer:

297.2

Step-by-step explanation:

549.8 ÷ 4 = 137.45

549.8 - 252.60 = 297.2

Answer:is it 1

Step-by-step explanation:

Answer:

60 miles

Step-by-step explanation:

There are two ways to solve this:

1. They tell you that you drive at 60 miles an hour, so , in an hour, you drive 60 miles.

2. Is the way you should use in the future:

Distance = speed * time

Substitute the speed and times.

Distance = 60 * 1

Thus, you drive 60 miles in one hour

The distance that should be traveled be 60 miles

As we know that

[tex]Speed = \frac{distance}{time}[/tex]

Here

speed be 60 miles per hour

And, the time should be one hour

So, the distance should be

[tex]= 60\ miles\ per hour \times one\ hour[/tex]

= 60 miles

Therefore the distance that should be traveled be 60 miles

Learn more about the distance here:brainly.com/question/23774048

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

Answer:

-4

Step-by-step explanation: