parallel lines
EF and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Answer:

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

[tex]a=\pi r^2/2[/tex]

3.14 will be used for pi!

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

[tex]a=lw[/tex]

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

[tex]32/2=16[/tex]

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

[tex]\pi 16^2/2=401.92[/tex]

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

[tex]14*32=448.[/tex]

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

[tex]401.92+448[/tex]

[tex]=849.92[/tex]

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

Answer:

C. Scalene triangle

Step-by-step explanation:

Wich Type of triangle has not equal side lengths A. Isosceles B. Equilateral C. Scalene D. None of the above

scalene triangle can be regarded as triangle whereby all three sides of the triangle have different lengths. the angles in scalene triangle is also

different if measured. Some right triangles can as well be regarded as scalene triangle if other two angles( the legs) are not congruent. It should be noted that Type of triangle which has not equal side lengths is Scalene

Answer:

gracias por los puntos xd

Diagram attached

Answer:

72 degrees

Explanation:

From the diagram, angle on a straight line add up to 180 degrees.

180 degrees - 144 degrees = 36 degrees.

Sum of the angles in a triangle= 180 degrees

Angles x and the other are congruent(the marks from the diagram indicate).

Therefore sum of the congruent angles= 180 degrees - 36 degrees = 144 degrees

Angle x= 144/2= 72 degrees

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

Answer:

second option

Step-by-step explanation:

y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)

2y = 180 - 38

y = 142/2

y = 71 degree

Answer:

71 degrees

Step-by-step explanation:

Hi there!

All the interior angles of a triangle add up to 180 degrees.

Knowing this, we can construct the following equation:

[tex]180=y+y+38\\180=2y+38[/tex]

Subtract 38 from both sides

[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]

I hope this helps!

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

Answer:

Here,

CD + DE = CD

x+10 + x+4 = 8

2x + 14 = 8

2x= -6

x= -3

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

Answer:

i. y = 4

ii. p = 45

iii. m = 5

Step-by-step explanation:

(a) In triangle PQR, PQ = QR. So that,

Perimeter = PQ + PR + QR

40 = (2y + 3) + (5y - 2) + (2y + 3)

    = 2y + 3 + 5y - 2 + 2y + 3

40 = 9y + 4

40 - 4 = 9y

36 = 9y

y = [tex]\frac{36}{9}[/tex]

y = 4

(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;

p = 16 + 29

p = 45

Rahim's father is 45 years old.

(c) Cost of a chair = RM 5.90

Cost of m chairs = RM 5.90 x m

                           = RM 5.90m

Amount paid = RM 50 - RM 20.50

                      = RM 29.50

Thus,

RM 5.90m = RM 29.50

5.90m = 29.50

m = [tex]\frac{29.50}{5.90}[/tex]

   = 5

m = 5

The number of units of chairs bought is 5.

Answer:

1. 3

2. 1

3. 2

4. 4

5. 5

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]

[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]

[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]

[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]

[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]

[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]

[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

y= 5x/7 -27/7

if they are parallel there gradient is the same

m1=m2

y-y1=m(x-x1)

plug in the gradient and points E

y-(-3)=5/7( x-4)

y= 5/7(x) -20/7 +3

final answer

y= 5/7(x) +1/7

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Answer:

Question 1: 75 minutes

Question 2: 4:07

Question 3: 30 minutes

Question 4: 8:35

Step-by-step explanation:

An hour is sixty minutes; that's the key to solving these questions.

The time basketball was played is 75 minutes or 1 hour 15 minutes

The time I get home is at 4:07

The cook was cooked for 30 minutes.

The cheerleading was over at 8:35.

It is the conversion of one unit to another unit with its standard conversion.

We have,

Trey and Na Asia played basketball from 10:30 - 11:45.

From 10 to 11 we have 60 minutes.

= 60 minutes - 30 minutes [10:30] + 45 minutes [ 11:45]

= 105 minutes - 30 minutes

= 75 minutes

The time basketball was played.

= 75 minutes

= 1 hour 15 minutes

I left school at 3:15 on the bus. I got home 52 minutes later.

1 hour = 52 minutes

= 3:15 + 52 minutes

= 3  + 15 minutes + 52 minutes

= 3 + 67 minutes

= 3 + 1 hour +  7 minutes

= 4:07

The time I get home is at 4:07

Antavious makes Macaroni and cheese. He begins making it at 6:35 and finished at 7:05.

= 6:35 to 7:05

From 6 to 7 we have 60 minutes.

So,

= 60 minutes - 35 minutes [6:35] + 5 minutes [7:05]

=  65 minutes - 35 minutes

= 30 minutes

The cook was cooked for 30 minutes.

Makhiya and Madison went to cheerleading at 7:15. It was over 1 hour and 20 minutes later.

= 7:15 + 1 hour + 20 minutes

= 7 + 15 minutes + 1 hour + 20 minutes

= 8 + 35 minutes

= 8:35

The cheerleading was over at 8:35.

Thus,

The time basketball was played is 75 minutes or 1 hour 15 minutes

The time I get home is at 4:07

The cook was cooked for 30 minutes.

The cheerleading was over at 8:35.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Answer:

mark me as a brainleast

Step-by-step explanation:

iam not undeerstand on your qiestion write it beautiful words

Step-by-step explanation:

yes that's the answer

can you please give me brainliest

and use DESMOS app for drawing graphs

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Answer:

3rd choice

Step-by-step explanation:

Similar triangles have congruent angles and proportional sides

They look similar but size may vary

Answer: A. perpendicular

Step-by-step explanation: First, you have to determine the slope of both lines and you can do so using the slope formula: (y2 - y1)/(x2 - x1). You should get the slope -2/5 for the first line and 5/2 for the second. Because one line has a slope that is the negative reciprocal of the other, these lines are perpendicular.

Answer:

8/17

Step-by-step explanation:

take angle A as reference angle

using sin rule

sin A = opposite / hypotenuse

sin A = 16/34

sin A = 16/34

sin A = 8/17

Answer:

Part A

a. Could be a parallelogram but cannot be a rectangle

Part B

c. 100°

Step-by-step explanation:

Part A

The polygon constructed by Andrew = Four sided polygon having no right angles

From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus

The rectangle, and square both have 4 right angles

Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square

The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'

Part B

The given parameters of the rhombus EFGH are;

Angle E = 3·x + 5, angle H = 4·x

The characteristics of a rhombus are;

The sum of the interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal

The sum of the adjacent angles = 180° (The adjacent angles are supplementary)

Therefore, in the rhombus EFGH, we have;

Angle E, and angle H are supplementary angles

∴ Angle E + angle H = 180°

Substituting the values of angle E and angle H gives;

3·x + 5 + 4·x = 180°

7·x = 180° - 5 = 175°

x = 175°/7 = 25°

Angle H = 4·x

∴ Angle H = 4 × 25° = 100°

Angle H = 100°

Angle F = angle H = 100°

Therefore, angle F = 100°

Answer:

Kate is 13years and 4 months old,I suggest.

Answer: Cosine

This is because cosine involves the adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse