Q1. Edward drove 80 miles from his home to London. He stopped and visited his friend Nicola on the way. Here is the distance-time graph for the journey.

80

60

a) How far was Edward from home when he visited Nicola.

b) How long did Edward stop for?

Distance from home (miles)

40

20

09:00

10:00

11:00

Time of day

12:00

13:00.
Plz steps
​

Answer:

two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.

(instead of translations/rotations we could write transformations, but there are transformations that also change the size of the figure, so I think that writing translations/rotations is more precise)

Step-by-step explanation:

Two figures are congruent if they have the same shape and size.

So for example, if we have one triangle, and we reflect that triangle along some line, those bot images will have the same shape and size (but maybe different orientations) so the triangles are still congruent.

Also, we could translate the image, or simply rotate it along some point, and the resulting image will be congruent to the initial image.

Then two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.

The composition that maps one polygon to the other polygon to make both congruent is called; Similarity transformation.

Now, we are told that there has to be a composition that will map one polygon to another one. This means that the two polygons must have the same shape after transformation.

Read more about Similarity transformations at;

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Hello!

This question is relating powers and simplification.

Let's look at the term in the denominator first, which is [tex]d^0[/tex].

The zero exponent rule states that anything to the 0th power, will be 1.

Meaning that we can simplify this expression to [tex]6c^{-3}[/tex].

Now let's look at the term we have left.

The negative exponent rule states that anything to the negative power can be moved to the other side of the fraction and have its exponent turn into a positive exponent.

Meaning that we can simplify [tex]6c^{-3}[/tex] to [tex]\frac{6}{c^3}[/tex].

Hope this helps!

Answer:

8

Step-by-step explanation:

Answer:

60°

.....................

Answer:

60

Step-by-step explanation:

This is a complementary angle which means two angles that sum up to 90 so 60+30=90

Answer:13,750

Step-by-step explanation:5.5% of 250,000 is 13,750.

Answer:

13,750

Step-by-step explanation:

Answer:

4, 4, 10

Step-by-step explanation:

4, 4, 10

4 appears the most so that's the mode.

Mean = (Sum of numbers)/(3 numbers)

Mean = (4 + 4 + 10)/3

Mean = (18)/3

Mean = 6

The three numbers that have a mode of 4 and a mean of 6​ are 4, 4, and 10.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. A set of data values mode is the value that appears the most frequently.

The three numbers that have a mode of 4 and a mean of 6 will be calculated below:-

Let us suppose the three numbers are 4, 4, and 10 the mean will be calculated as:-

Mean = (Sum of numbers)/(3 numbers)

Mean = (4 + 4 + 10)/3Mean = (18)/3

Mean = 6

Therefore, the three numbers that have a mode of 4 and a mean of 6​ are 4, 4, and 10.

To know more about mean follow

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Answer:

B . The graph intercept at two points, (2,0) and (6,0)

Answer: (4,-2)

Step-by-step explanation:

(4,-2)

Answer:

21 days

Step-by-step explanation:

February has 28 days

28/4=7

1 quarter of 28 is 7

Since one quarter was above freezing, 3 were below freezing

3x7=21

21 days is the final answer

Answer:

21 days

Step-by-step explanation:

There are 28 days in February.

If one quarter of the days had a temperature above freezing, that means that three quarters of the days had a temperature below freezing.

Find how many days were below freezing by multiplying 28 by 3/4

28(3/4)

= 21

So, 21 days in February were below freezing.

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)

Answer:triangles always equal 180 so subtract the variable inside the triangle.

Step-by-step explanation:

The price of Coupon A  will be less than the price of Coupon B. Coupon A gives the lower price.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Greg has two coupons for a bicycle.

Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be

⇒ $81 - $19

⇒ $62

Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be

⇒ $81 x 0.80

⇒ $64.8

The price of Coupon A  will be less than the price of Coupon B. Coupon A gives the lower price.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

the answer here its a -3 17

Answer: See explanation

Step-by-step explanation:

Your question isn't well written. Let's reframe it and solve.

Michael has 938cups of glue. He wants to put 11 cups into each smaller container. How many smaller containers can he fill?

To solve this question, we have to divide the total cups of glue that Michael has by the number of cups that he wants to put in each container. This will then be:

= 938 / 11

= 85 3/11

Therefore, he can fill 85 containers.

To solve the question in case you've different numbers, just follow the steps above and you'll get it.

Step-by-step explanation:

I feel like you need help figuring out what to write

For the first one say something like

These topics..... were covered in my learning check

I feel like I am pretty good with .....  topics

I feel like I need some help with ..... topics

Correct me if I'm wrong but this is what I assume your asking

Answer:

y = x - 2

Step-by-step explanation:

Going from M to N, the run (increase in x) is 6, from 1 to 7.  The rise (which is actually a decrease here) is -6, from 5 to -1.  Thus, the slope of the line segment MN is m = rise / run = -6/6, or -1.

The slope of the perpendicular bisector is the negative reciprocal of this m = -1, and is +1.

This bisector passes through the midpoint of segment MN.  The x-coordinate of this midpoint is (1 + 7)/2, or 4, and the y-coordinate is (5 - 1)/2, or 2:  (4, 2).

Knowing both a point on this bisector (4, 2) and the slope of the bisector (+1), we can modify the point-slope form of the equation of a straight line, y - k = m(x - h), to obtain y -2 = 1(x - 4), or y = 2 + x - 4, or y = x - 2

Answer:

think yourself........

Step-by-step explanation:

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Answer:

x= 642/5 or simplified would be

Answer:

1568 in^3

Step-by-step explanation:

Answer:

Volume = 1,568

Step-by-step explanation:

V = Bh

B = 17.5 x 14 = 245

h = 6.4

245 x 6.4 = 1,568

The easier way:

17.5 x 14 x 6.4 = 1,568

Let me know if this helps!

Answer:

The numbers are 36 and 42

Step-by-step explanation:

Represent the two numbers  by m and n, m being the larger number and n the smaller.  Then

m = n + 6.  also, 7n = 6m

Substitute n + 6 for m in the second equation:  7n = 6(n + 6).

Performing the indicated multiplication, we get 7n = 6n + 36, or n = 36.

Then m = n + 6, which here is m = 36 + 6 = 42.

The numbers are 36 and 42.

Answer:

where’s the triangles?

Answer:

This equation has infinite solutions

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

z = z

Number 3 is 18

Number 4 is 32

Number 5 is 8

Number 6 is 46

Number 7 is 24 since you add every side (2+2+10+10) and it gives you 24

Answer:

slope is undefined

Absolute Value of 14.7 is 14.7 any number below 14.7.

Answer:

add 18 to both sides, giving you 3x = 96

Answer:

x = 21

Step-by-step explanation:

If lines AB and CD are parallel, then we can assume that m<5 and m<6 are supplementary that is the sum of both angles is 180degrees

Hence;

3x - 31 + 148 = 180

3x + 117 = 180

Subtract 117 from both sides

3x+117-117 = 180 - 117

3x = 180 - 117

3x = 63

x = 63/3

x = 21

Hence the value of x will be 21 if both angles are supplementary

Answer: rttgyt5tgot4h5uioyh

Step-by-step explanation:

hudshviowuerbgp

Answer:

volume = 145.02 in³

Step-by-step explanation:

volume = 2.3 x 6.5 x 9.7 = 145.02 in³