If a train goes at a constant speed of 40 miles per hour for one hour, then at a constant speed of 50 miles per hour for two hours, what is its instantaneous speed at the beginning of the last hour of its trip?

∠P = 40°; ∠S = 140° answer

Step-by-step explanation:

The measures of angles of the parallelogram are ∠P = 140°; ∠S = 40°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as PQRS

Now , the measures of angles of parallelogram are

The measure of m∠Q = ( x + 15 )°

The measure of m∠P = ( 6x - 10 )°

where ∠Q and ∠R are supplementary to each other

For a parallelogram , same-side interior angles (consecutive angles) are supplementary

On simplifying , we get

m∠Q + m∠P = 180°

( x + 15 ) + ( 6x - 10 ) = 180

7x + 5 = 180

Subtracting 5 on both sides , we get

7x = 175

Divide by 7 on both sides , we get

x = 25

And , the measure of ∠Q = 40° = measure of ∠S

The measure of ∠R = 140° = measure of ∠P

Hence , the measures of angles of parallelogram are solved

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Answer:

$1.94 per square inch

The answer to this question is

x=15/8

1/2x+3/2(x+1)-1/4=5

1/2x+3/2(x+1)-1/4=5

(1/2x+3/2x)+3/2-(1/4)=5

4/2x+3/2-(1/4)=5

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=15/8

1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)

(1/2x+3/2x)+3/2-(1/4)=5

4/2x+3/2-(1/4)=5

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=

15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral

PROOF

If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns

2x+(6/4–1/4)=5

2(15/8)+(6/4–1/4)=5

15/4+(5/4)=5

(15+5)/4=5

20/4=5 and

5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5

C.H.

1/2x+3/2(x+1) --1/4=5

1/2 (1/x+3/ (x+1) =5+1/4

1/x + 3/x+1 =(5+1/4) ×2/1

x+ 1 +3x /x (x+1) = 10+1/2 =21/2

4x+1 = 21/2 [x^2+x]

8x+2= 21x^2+21x

21x^2 +-13 x -2 =0

a =21 b= 13 c= -2

X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21

=[13 + - ( 169 + 168 )^1/2] /2×21

Discriminat =169+168=337 >0

Answer:

67º <33

Step-by-step explanation:

180-46= 134º

134/2= 67º

Answer:

x = 46

Step-by-step explanation:

The two strokes on the triangle show that those two sides are equal. Thus, the angle at the bottom left is equal to x.

x = 46°

sorry if you mind but why are you posting all questions here . where are you from

Answer:

Option B) 16 × 9

Option D) 2×2×2×2×3×3

...both are the correct answers.

Answer:6

Step-by-step explanation:

-4xy

-4(1/2)(-3)

-4(-1.5)

6

Answer:

112 degrees

Step-by-step explanation:

The other 2 interior angles are (180-44)/2 which is 68.

180 (straight line) -68 = 112

The answer is 45 (explained down at the image).

Answer:

45

Step-by-step explanation:

What you wanna do is just simplify the equation as much as possible:

First, the inner parenthesis:

2(10-5)=20-10=10

5(6-5)=30-25=5

And then we have:

3(10+5)=

Just simplify! :)

30+15=45

45

Answer:

C

Step-by-step explanation:

If you plug the values of x and y into the equation, its C

Answer:

the third box

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Reflect X axis is when the X value doesn't change, but the y value turns negative.

Reflect Y axis is when the Y value doesn't change, but the x value turns negative.

Here the point is (-11,-7)

Reflect X is (-11,7)

Reflect Y is (11,7)

Answer:

(2x+3)(5x+2)

Step-by-step explanation:

10x²+19x+6

multiply to get 60

add to get 19

10x²+19x+6

(10x²+15x)(+4x+6)

factorise:

10x²+15x

5x(2x+3)

4x+6

2(2x+3)

(2x+3)(5x+2)

Answer:

2.5/10 = 0.25 cents per ounce

Answer:  4(5z−2)

Step-by-step explanation: Brainliest pls

Step-by-step explanation:

Let us intepret this condition in our context:

"...that the minimum value is not less than 2 and the maximum value is not greater than 5"

This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.

The probability of getting these four sides out of six in a roll is 4/6, or 2/3.

We have to roll this dice 4 times. Hence we raise the probability to a power of 4:

Total probability = (2/3)⁴

= (2)⁴ / (3)⁴

= 16/81. (C)

Answer:

x=8, y=73/3

Step-by-step explanation:

they ask to solve by substitution so from second equation find y

4x-3y= -41 isolate y

4x+41 = 3y divide both sides by 3

(4x+41)/3= y substitute this y in the first equation

5x+2y = -34

5x+2(4x+41)/3 = -34 distribute and find the common denominator

3*5x+(8x+82)/3 = -34

15x+8x+82=-34*3 cross multiply

23x = -102-82

x=-184/23=8

y=(4*8+41)/3=73/3 is about 24.333..

Answer:

Circle

Point

Ellipse

Triangle

Answer:

First, we are given that line segments AB and ED are congruent and that AE and BD bisect each other. This means that AC and CE are congruent, and they are also congruent to BC and CD. Next, angle ACB and angle DCE are congruent because of the vertical angles theorem. This means that triangle ABC and triangle EDC are congruent by the Side-Angle-Side congruency theorem, and also the Side-Side-Side theorem.

Please mark brainliest. Thanks!!!!

Answer:

Step-by-step explanation:

The value of sin 30 = 1/2

Thus cos B = 1-1/2 = 1/2

Answer:

puedes multiplicar 3 y 243 (you can multiply 3 and 243)

Step-by-step explanation:

espero que esto ayude (hope this helps) :)

hay muchas combinaciones, supongo que se puede elegir sólo una respuesta

1 x 729

3 x 243

9 x 81

27 x 27

81 x 9

Answer: 100 miles

Step-by-step explanation:

300+3x=500+1x

subtract 1 from both sides

300+2x=500

subtract 300 from both sides

2x=200

divide 2

x=100

Answer:

-1/3

Step-by-step explanation:

Answer:

90 MPH

Step-by-step explanation:

2700 / 30 = 90

Answer:

12,000

Step-by-step explanation:

Answer:

12,000 lbs (pounds)

Step-by-step explanation:

Answer:

Estimated amount of pencils = 2040 pencils

Exact amount of pencils = 2160 pencils

Step-by-step explanation:

Estimated amount of pencils are calculated by:

rounding up the numbers to the nearest tens

large box= 144 pencils = 140 pencils

small box = 24 pencils = 20 pencils

Estimated number of pencils =

(12 × 140) + (18 × 20)

= 1680 + 360

= 2040 pencils

This is an underestimate

The exact number of pencils is calculated as:

(12 × 144 pencils ) + (18 × 24 pencils)

= 1728 pencils + 432

= 2160 pencils

Answer:

1 =80

2 =100

3 =80

4 =100

6 = 100

7 =80

8 =100

Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7

2,4,6,and 8 are 180-80 which equals 100

Answer:

1, 3, 5, 7 = 80°

2, 4, 6, 8 = 100°

Step-by-step explanation:

1, 3, 5, and 7 are congruent to each other

2, 4, 6 and 8 are congruent to each other

1 + 2 + 3 + 4 = 360°

80° + x + 80° + x = 360°

160° + 2x = 360°

2x = 360° - 160°

2x/2 = 200°

x = 100°

Answer:D

Step-by-step explanation: The graph of -f(x) is the graph of f(x) reflected over the y-axis.

Answer:

x = -4

Step-by-step explanation:

x = 3 - 7

x = - (7 - 3)

x = -4

Answer:

z = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2z - 3 = 1

Step 2: Solve for z