In which diagram are angles 1 and 2 vertical angles?

Answer:

Since the speed can't be negative it was 60 km/h for the first stage and 80 km/h on the second stage, averaging 70 km/h for the whole course.

Step-by-step explanation:

The speed of the truck for the first stage of the route is "x" km/h, while on the second one it raises to "x + 20" km/h. The time it takes to complete each stage is shown below:

[tex]t_{stage 1} = \frac{150}{x}\\t_{stage 2} = \frac{200}{x + 20}[/tex]

The sum of these times must be equal to the total time of the trip, therefore:

[tex]t_{stage1} + t_{stage2} = 5[/tex]

[tex]\frac{150}{x} + \frac{200}{x + 20} = 5\\\frac{150*(x + 20) + 200*x}{x(x + 20)} = 5\\150*x + 3000 + 200*x = 5*x*(x + 20)\\5*x^2 + 100*x - 350*x - 3000 = 0\\5*x^2 - 250*x - 3000 = 0\\x^2 - 50*x - 600 = 0\\x_{1,2} = \frac{-(-50) \pm \sqrt{(-50)^2 - 4*1*(-600)}}{2*1}\\x_{1,2} = \frac{50\pm \sqrt{2500 + 2400}}{2}\\x_{1,2} = \frac{50\pm \sqrt{4900}}{2}\\x_{1,2} = \frac{50 \pm 70}{2}\\x_{1} = 60\\x_{2} = -10[/tex]

Since the speed can't be negative it was 60 km/h for the first stage and 80 km/h on the second stage, averaging 70 km/h for the whole course.

Answer:

one is correct.

Step-by-step explanation:

because it have one solution when you graph it

Answer:

One solution (2.25,1.75)

Step-by-step explanation:

Well first we need to graph the following

[tex]y=3x-5[/tex]

[tex]y=-x+4[/tex]

So look at the image below.

So looking at the image below we can tell that the system only has one solution (2.25,1.75).

Answer:

11.67

Step-by-step explanation:

Data given in the question

∠ADC = 42°

∠BAC = 68°

Let us assume that AC be Y

Now

In ΔACD

tan 42° = AC ÷ CD = Y ÷ x ...............................(i)

In ΔACB  

tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)

Now take the value of Y from the equation (ii)

Y = 26 ÷ Tan 68° ...................... (iii)

Now place the value of Y in equation (i)

So,

Tan 42° = 26 ÷ tan 68° × X

X = 26 ÷  tan 68° × Tan 42° ......................(iv)

Now placing the values of tan 42° and tan 68° in equation (iv)

So,

X = 26 ÷ 0.900 × 2.475

= 11.67

The tan 42° = 0.900

And, the tan 68° = 2.475

Answer:

A. 4 2/3 hours

B. (i) 9 4/5 hours

(ii) 1 19/30

Step-by-step explanation:

Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.

Mathematically, that would be;

4/7 * 8 1/6

8 1/6 is same as 49/6

So the number of hours he spent visiting old folks would be ;

49/6 * 4/7 = 14/3 = 4 2/3 hours

B. What we do here is simply multiply the fraction now by what he spent last year.

That would be 1 1/5 * 8 1/6 hours

= 6/5 * 49/6 = 49/5 = 9 4/5 hours

ii) Now we want to know how much more time will be spent this year than last year.

What to do here simply is to subtract the time taken last year from what we have this year

That would be;

49/5 - 49/6 = 49/30 = 1 19/30

Answer:

your mom

Step-by-step explanation:

get rekt

Can i have brainliest

At least 105 children must attend the event

Answer:

The correct option is;

There are no solutions

Step-by-step explanation:

From the graph of the inequality, with the y-intercept = 1 and slope = 3 for the blue shaded inequality

The equation is y > 3x + 1

While that of the other red shaded inequality, the slope is 3 and the y-intercept = -3

The equation is y < 3x - 3

Given that the two inequalities are parallel line that their domains do not overlap, we have that there are no solutions as the y-coordinate values of  y > 3x + 1 are always larger for a given x-coordinate value than the y-coordinate value of y < 3x - 3.

Answer:

No solution is correct.

Step-by-step explanation:

I took the test

Answer:

D

Step-by-step explanation:

If we plug in the points to A, not all 3 of them work so A is not the answer. If we repeat this process with the other functions we see that the answer is D.

Answer:

B and D

Step-by-step explanation:

=> All of the sides are unequal so it's a scalene triangle.

=> It have a 90 degrees angle, so it is a Right Angled Triangle.

Answer:

B. Scalene

D. Right

Step-by-step explanation:

The triangle is a scalene triangle, because all the three sides have different lengths.

The triangle is a right triangle, because it has an angle of 90 degrees.

Step 1) Solve for the amount of money Kevin and Emily used to spend in a year for rent

1375 x 12 = 16500

Step 2) Solve for the amount of money Kevin and Emily spend in a year now for rent

(950 x 12) + 275 = 11675

Step 3) Subtract the new amount of money per year from the old amount of money per year to find the savings in the first year

16500 - 11675 = 4825

Kevin and Emily will save $4,825 the first year if they move to a new apartment.

Hope this helps!! :)

This question is incomplete.

Find attached to this question the diagram of the cube.

Reference for the attached image: This diagram was obtained from Education Quality and Accountability Office (EQAO) PDF

Answer:

128cm³

Step-by-step explanation:

The diagram of the box shows it has a side length of 9.2cm

Volume of a cube =( Length)³

Volume of a cube =( 9.2cm)³

= 778.688cm³

We are told in the question that the decoration packed in the cube has a volume of 651 cm³.

The amount of empty space remaining in the box is calculated as:

778.688cm³ - 651cm³

= 127.688cm³

Approximately to the nearest whole number = 128cm³

Answer:

i)  -240[tex]a^{4}b^{3} c^{3}[/tex]

ii) -15x²y² + 3x³y²

iii)x³y³z³ - x²y³z³ + x³y²z³

iv) pq -7p+6q-42

v)9x²-33x +42

vii)  2x² - 2y² + 7x -13y - 15

Step-by-step explanation:

To find product here means to multiply the algebraic expressions together

i) (–5a²bc)×(6ab)×(8abc² )

multiply like terms together

= -240[tex]a^{4}b^{3} c^{3}[/tex]

ii) (–3x²y) ×(5y – xy)

(–3x²y)×(5y) –  (–3x²y) ×(xy)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= -15x²y² + 3x³y²

iii) (x²y²z²) ×(xy – yz + zx)

(x²y²z²)×(xy) – (yz)× (x²y²z²) + (zx)  ×(x²y²z²)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= x³y³z³ - x²y³z³ + x³y²z³

iv) (p+6)and (q–7)

p(q–7)  +6(q–7)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= pq -7p+6q-42

v) (2x+7)and(x² –5x+6)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= 2x² -10x+12x+7x²-35x+42

collect like terms

= 9x²-33x +42

vii) (x + y + 5) and (2x – 2y – 3)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= 2x²-2xy-3x+2xy-2y²-3y+10x-10y-15

collect like terms

= 2x² - 2y² + 7x -13y - 15

Answer:

x = 1, y = -2

Step-by-step explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.

Answer:

(E)A trapezoid

Step-by-step explanation:

Given the shape which is a rectangular based pyramid.

A cross-section is cut but it does not pass through the top vertex of the pyramid.

Therefore, the shape which describes the cross-section will be a trapezoid.

Answer:

The figure is a rectangular pyramid. The cross section is perpendicular to the rectangular base and passes through the top vertex of the figure. A triangle that does not have the same dimensions as one of the faces is formed.

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

x+2y = 14

y = x+4

Substitute x+4 into the first equation for y

x+2(x+4) = 14

Distribute

x+2x+8 = 14

3x+8 = 14

Subtract 8 from each side

3x+8-8 = 14-8

3x = 6

Divide by 3

3x/3 = 6/3

x = 2

Now solve for y

y = x+4

y =2+4

y =6

(2,6)

Answer:

D. (2, 6)

Step-by-step explanation:

Put y as x+4 in the first equation and solve for x.

x + 2(x + 4) = 14

x + 2x + 8 = 14

3x = 14 - 8

3x = 6

x = 2

Put x as 2 in the second equation and solve for y.

y = 2 + 4

y = 6

Answer:

86 B

Step-by-step explanation:

32+62=94

180-94=86

The sum of the interior angles of a triangle always add up to 180 degrees.

Answer:

The third angle is 86

Step-by-step explanation:

The sum of the angles of a triangle add to 180

32+62+x = 180

94+x = 180

Subtract 94 from each side

x = 180-94

x =86

Answer:

Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table

Answer:

The second choice.

Step-by-step explanation:

Open the compass to the width of the line and draw two arcs.

These arcs should be on the same side of the original line.

You can then draw the parallel line with the straight edge just touching the top of each arc.

Parallel lines can be drawn using compass and straightedge using the concept of corresponding angle.

Two lines are called parallel when they never meet each other if they are increased on the either side of them.

When constructing parallel lines with a compass and straightedge we can follow the below mentioned steps.

1. At first we need to draw a straight line. Then take a random point on it.

2. After that, we need to take a random point above the line that is drawn. Then, we need to connect two points.

3. After that, draw two arcs using the compass. First arc is on the angle formed by two lines drawn. The next arc is on the line that connects two points.

4. Now using the compass, we can copy the angle formed on the first line on the point above the first line.

5. Now, complete the angle on the point above the first line. These two lines are parallel lines.

Learn more about parallel lines here: https://brainly.com/question/1418314

#SPJ2

Answer:

Step-by-step explanation:

The mode is 24 so we know that at least 2 of the 5 numbers are 24.

The mean is 20 so we know that the 5 numbers add up to 100.

The median is 21 so the third number is 21.

100-(24+24+21)= 31

Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.

E.g. 24, 24, 21, 11 & 20

The answer is C.) The model is not a good fit.

Answer:

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

Step-by-step explanation:

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

4x/5 +4=4x/5 +4

Answer:

32 years old

Step-by-step explanation:

Please see attached picture for full solution.

Let Sunil's present age be 4x and his wife's present age be 3x.

Answer:

x^2+11x+30

Step-by-step explanation:

This is a parallelogram.

Area of a parallelogram can be found with:

A=bh

Plug our values in.

A=(x+6)(x+5)

FOIL-

First: x*x=x^2

Outside: x*5=5x

Inside: 6*x=6x

Last: 6*5=30

x^2+5x+6x+30

Combine like terms.

x^2+11x+30

Answer:

d.tigers have a great IQR because they were some very heavy tigers.(high outliers)

Answer:

[tex]10i[/tex]

Step-by-step explanation:

√(-100)

Use the imaginary number rule  [tex]i=\sqrt{-1}[/tex]

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

Answer:

119.43cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

As we know that

= Area of the rectangle - Area of the circle

where,

Area of rectangle is

[tex]= length \times breadth[/tex]

[tex]= 11\times 12[/tex]

= 132 cm^2

And, the area of the circle is

[tex]= \pi\times r^2\\\\ = \frac{22}{7} \times 2^2\\\\ = \frac{88}{7} cm^2[/tex]

Now the area of the shaded region is

[tex]= 132 cm^2- \frac{88}{7}cm^2[/tex]

= 119.43cm^2

We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.

Answer:

the answer

is 128.86 Step-by-step explanation:

Answer:

53

Step-by-step explanation:

x - the age of the person who entered the room.

(12 + 19 + 24 + 21 + 21 + x)/6 = 25

12 + 19 + 24 + 21 + 21 + x = 150

97 + x = 150

x = 53

Answer:

53

Step-by-step explanation:

Answer:

50,000,000 centímetros cúbicos.

Step-by-step explanation:

En la pregunta anterior, se nos dan las dimensiones de este cubo en metros como:

Longitud = 5m

Ancho = 4 m

Altura = 2.5 m

Nos dijeron que encontraramos el volumen en centímetros cúbicos

Paso 1

Convierta todas estas dimensiones a centímetros

1m = 100cm

Por lo tanto:

Longitud = 5 m = 5 × 100 cm = 500 cm

Ancho = 4 m = 4 × 100 cm = 400 cm

Altura = 2.5 m = 2.5 × 100cm = 250cm

Paso 2

Fórmula para el volumen de un cubo = Largo × Ancho × Alto

Volumen = 500 cm × 400 cm × 250 cm

Volumen = 50,000,000 centímetros cúbicos.

Por lo tanto, el volumen, en centímetros cúbicos, de la habitación es de 50,000,000 centímetros cúbicos.

Hey there! :)

Answer:

x = 12.

Step-by-step explanation:

Given:

[tex]\frac{3}{5} = \frac{x}{20}[/tex]

Cross multiply to solve for x:

3 · 20 = 5 · x

60 = 5x

Divide by 5:

12 = x.

Answer:

so x=12

Step-by-step explanation:

[tex]\frac{3}{5}=\frac{x}{20}\\ by cross multiplication[/tex]

3×20=5×x

60=5x

dividing 5 on both sides

60/5=5x/5

x=12

i hope this will help you :)