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3 years ago

PLEASE HELP SOLVE BOTH

Mathematics

1 answer:

Radda [10]3 years ago

7 0

In my school, we do congruent statements with triangles by using SSS,ASA, SAS, etc.

For the first one, it would be SSS because the side-side-side matches up with side-side-side.

For the second one, I believe they are not similar because the lengths are corresponding between the two triangles.

Hope this helps! :)

If you need any help on triangle congruency statements, I have a flip-booklet we made in our geo class that helps a lot, and I would love to send it to you!

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Please help! I will mark you as brainliest!

ludmilkaskok [199]

a) 3 goals

The median is the middle number of a data set. The best way to find the median is to list out all of the goals (and their frequencies!) and cross off numbers from the outside in until we find the median, or middle number.

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3

1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3

2, 2, 2, 2, 3, 3, 3, 3, 3, 3

2, 2, 3, 3, 3, 3

3, 3

The median is 3 goals.

b) 2.33 goals

To find the mean, we add up all of our listed numbers below and divide by the total number of terms we added together.

0(2) + 1(8) + 2(4) + 3(10) + 4(6) = 70

total number of terms = 2 + 8 + 4 + 10 + 6 = 30

70 / 30 = 2.33

The mean number of goals conceded was approximately 2.33.

Hope this helps! :)

4 0

4 years ago

Cabrina and Dabney are attending a conference. After the conference, Cabrina drives home to Boise at an average speed of 7575 m

kifflom [539]

Answer:

Cabrina's time = 5 hours

Dabney's time = 6.5 hours

Step-by-step explanation:

The data of the exercise are:

Cabrina speed = 75 mph

Daney speed = 60 mph

The sum of their distance is 765 miles, therefore

Cabrina's distance Dabney's distance = 765

Cabrina's distance = x

Dabney's distance = 765-x

The sum of their times is 11.5 hours, therefore

Cabrina's time Dabneys time = 11.5

Cabrina's time = x / 75

Dabney's time = (765-x) / 60

x / 75 (765-x) / 60 = 11.5

Lowest common denominator of 75 and 60 is 300, therefore we have:

330 * x / 75 300 * (765-x) / 60 = 300 * 11.5

4 * x 5 * (- x 765) = 3450

4 * x - 5 * x 3825 = 3450

x = 375

Replacing:

Cabrina's time = 375/75 = 5 hours took

Dabney's time = (765-375) / 60 = 6.5 hours took

7 0

3 years ago

Read 2 more answers

Analyze the graph of a cannonball launched from the ground with an initial velocity of 144 feet per second. The cannonball reach

Brrunno [24]

Answer: 324 ft

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Galena is solving the following system. 3x+2y+3z =5 7x+y +7z=-1 4x-4y-z=-3

babymother [125]

Answer:

She did not multiply equation 3 in step 2 by the correct value.

Step-by-step explanation:

Given:

$3x+2y+3z=5\\7x+y+7z=-1\\4x-4y-z=-3$

In order to solve this, we need to eliminate any one variable and then form a simultaneous equation with the remaining two variables. Then, we nee to solve the simultaneous equation.

Here, Galena is trying to eliminate the variable $z$ first.

Step 1: She multiplies equation (3) by 3 and adds it to equation (1)

Let us multiply equation (3) by 3

$(4x-4y-z=-3)\times 3 = (3\times 4x)-(3\times 4y)-(3\times z)=3\times -3\\(4x-4y-z=-3)\times 3 =12x-12y-3z=-9$

Now, adding this to equation 1 will cancel out z terms.

$12x-12y-3z+3x+2y+3z=-9+5\\(12x+3x)+(-12y+2y)+(3z-3z)=-4\\15x-10y+0=-4$

Now, she need to make one more equation in $x\ and \ y$ .

Step 2: She multiplies equation (3) by -7 and adds it to equation (2)

Multiplying equation (3) by -7 will give,

$(4x-4y-z=-3)\times -7 = (-7\times 4x)-(-7\times 4y)-(-7\times z)=-7\times -3\\(4x-4y-z=-3)\times 3 =-28x+28y+7z=21$

Now, adding this to equation 2 will not cancel out z terms.

$-28x+28y+7z+7x+y+7z=21-1\\(-28x+7x)+(28y+y)+(7z+7z)=20\\-21x+29y+14z=20$

So, she makes mistake in step 2 as the $z$ terms are not being cancelled.

6 0

4 years ago

Read 2 more answers

Tara wants to minimize her need for student loans. Identify three factors Tara should consider to minimize her student loans, bu

Usimov [2.4K]

Answer:

Tara should consider colleges with lower expected total costs.

She should consider living at home to avoid room and board costs.

She should create a savings plan.

She should maximize scholarship potential.

Step-by-step explanation:

Tara should consider colleges with lower total costs, and also consider living in her parents' home to avoid room and board costs, as this would allow her to continue studying on a low budget.

You should create a savings plan, if you have some money saved, this allows you to earn interest to help pay for your studies.

You should maximize the potential of the scholarships, learning about all those you can apply to and managing your resources to acquire them.

8 0

3 years ago