Triangles A and B have vertical heights x cm and (x+3) cm respectively. The areas of Triangles A and B are 30cm² and 32cm² respectively. (a) Find, in terms of x, an expression for the base of: (i) Triangle A (ii) Triangle B (b) Given that the base of Triangle B is 4 cm less than the base of Triangle A, form an equation and show that it reduces to x² + 4x - 25 = 0 (c) Solve the equation and hence, find the height of Triangle B.​

Answers

Answer 1

Answer:

Hi,

Step-by-step explanation:

Let say a the base of the triangle A and b the base of the triangle B.

[tex]a)\\\left\{\begin{array}{ccc}\dfrac{a*x}{2}&=&30\\\dfrac{b*(x+3)}{2}&=&32\\b=a-4\\\end{arraqy}\right.\\\\(i): a=\dfrac{60}{x}\\\\(ii): b=\dfrac{64}{x+3}\\\\b)\\\dfrac{64}{x+3}=\dfrac{60}{x}-4\\\\64x=(60-4x)*(x+3)\\\\4x^2+16x-180=0\\\\x^2+4x-45=0\\\\\Delta=16+4*45=196=14^2\\x=\dfrac{-4+14}{2}=5\ or\ x=\dfrac{-4-14}{2}=-9\ (impossible)\\So\ x=5,\ a=\dfrac{60}{5}=12, b=\dfrac{64}{5+3}=8\\\\Area\ of\ A=12*5/2=30\\Area\ of\ B=8*8/2=32\\\\Height\ of\ triangle\ B=x+3=5+3=8.\\[/tex]

Answer 2
It should equal to eight.

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0 since the two points share the same x coordinates

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A linear function contains the following points.

What are the slope and y-intercept of this function?

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Answer:

(+6x,+5y)

Step-by-step explanation:

To me its simple math by dividing these 2 numbers you get the slope

sorry i cant help much but this is what i can do also be sure to use rise over run before dividing

have a nice day

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In this case, (0, -3)

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The dot above the 4 is solid so 4 is part of the solution.

Answer: X ≥ 4

the answer to this question is x>4

HELP MEEEEEEEE!!!!!!11 Thirteen babies were born in a hospital on the same day. The weights of the babies (in pounds) were 5.5, 6.4, 5.8, 8.1, 9, 7.6, 8.2, 7.2, 8.8, 6.6, 5.4, 7.7, and 6.9. 30 Select the correct answer. Which measure will help you calculate how much the babies' weights vary, on average, from their mean weight? A. mode B. interquartile range C. range D. mean absolute deviation E. quartile

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Answer:

B interquartile range

Step-by-step explanation:

hope this helps:)

Answer:

B. interquartile range

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Represent the measurement of angle B in the figure.



In the figure, angle A and angle D are complementary. The measurement of angle D is 45°. Complete the equation to solve for b, the measurement of angle B.

180 =
+ (90 –
) + b

Answers

Answer:

angle b is 45° as it is alternative angle of d so equal to d.

Step-by-step explanation

now....

180 = 90+(90-45)+b

90+45+45

90+90

=180

Answer:

angle b is 45° as it is alternative angle of d so equal to d.

Step-by-step explanation

now....

180 = 90+(90-45)+b

90+45+45

90+90

This figure was created by joining two right rectangular prisms.
Enter the volume, in cubic meters, of the figure.

Answers

Answer:

the answer is 30!

Which equation can be used to calculate the area of the shaded triangle in the figure below?


A rectangle with length of 12 feet and width 4 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.


2(12 + 4) = 32

fraction 1 over 2(12 + 4) = 8

2(12 × 4) = 96

fraction 1 over 2(12 × 4) = 24

I'll mark as brainliest

Answers

Answer:

It is [tex]\frac{1}{2}[/tex] (12 × 4) = 24

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] (base × height) = area of triangle

[tex]\frac{1}{2}[/tex] (12 × 4) = area

area = 24

someone answer this ASAP!!!!!

Answers

Answer:

The Quotient is 136 and the Remainder is 0

Step-by-step explanation

( I hope it helps ^^)

The quotient is 136 and the remainder is 0

The spinner has 3 options: Red, Blue, or Yellow. Jacob says
because there are three colors there is a 1/3 chance of each color
being picked. Brittany says, just because there are three colors
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og ha
happening. Who do you agree with? How do you know?
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Answers

i agree with Jacob, if there are 3 colors there’s a 1/3 chance it can land on any of the colors equally unless one color is bigger than the rest
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Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.

Answers

Answer:

B (second equation down on left) is equal to B (equation 2 down on right)

C=F

D=A

A=C

1. BB
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3. DA
4. AC

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12. Convierte estas fracciones impropias en números mixtos:
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B. 16/6=
C. 12/5=
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Por favor.

Answers

Answer:

15/7 = 2 1/7

16/6 = 2 4/6

12/5 = 2 2/5

48/7 = 6 6/7

Step-by-step explanation:

C is 2 2/5 I don’t know the others.

Divide
(i) 448 ÷ (-7)




I need it now
please someone

Answers

=448/(_7
=-64
Therefore the correct answer is-64

Answer:

-64 is the answer

What is the surface area of this figure in square centimeters?
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Answer Choices:
75
60
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Answers

Answer:

96cm

Step-by-step explanation:

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side rectangle (left): 3 * 7 = 21cm

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25 = x^2

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x = 5

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96 is the answer to your question

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Answers

Answer:

The image before a transformation is performed.

Step-by-step explanation:

Hope it helps!

This means the image that was there before a translation, reflection, rotation, or dilation was performed.

The image before a transformation is
performed.

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Answer:

2334546

Step-by-step explanation:

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Diddjdjdjdjcjrnhhdiridjdjsieudhdjswdicnsjsifjw

“There are 814 students going non a field trip, and they have 31 buses. How many students should go on each bus if they split up evenly on the buses? Solve the problem. Show your work”

Answers

Answer: 27

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Answer:

27

Step-by-step explanation:

Eric surveyed different people with cell phones.

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Texts they send per day = t

He drew a best-fit line and determined its equation.

Evaluate how old a person who sends about 70 texts a day is.

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Answer: B = 10.4

A person who sends about 70 texts a day is around 10 years old.

Answer:

B = 10.4

TTETEEETETTET

What is the area of this figure? Enter your answer in the box.

Answers

Answer:

33 or 900

Step-by-step explanation:

10+18+5= 33

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Answer: 70

Step-by-step explanation: math

hurry ill give brainly

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Answer: The answer is health

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A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the box?

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Answer:

54

2(lb+bh+lh).

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Answers

Answer:

158 in

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

2. 1 1/4

3. 2 1/3

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6. 2 2/5

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9. 2 1/4

10. 3 8/9

11. 2

12. 2 2/3

13. 2 1/2

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Step-by-step explanation:

2. 5/4 = 1 1/4

3. 3/1 * 7/9 = 7/3 = 2 1/3

4. 2/1 * 5/6 = 5/3 = 1 2/3

5. 10/7 = 1 3/7

6. 12/5 = 2 2/5

7. 3/6 = 1/2

8. 2/1 * 3/4 = 3/2 = 1 1/2

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3. 2 (1/3)
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Rewrite as a simplified fraction.
\large{3.\overline{1} = {?}}3.
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Answers

This is incomprehensible, but I would be happy to help if you perhaps re-typed it :D

It may helps if you take a picture or rewriting it

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Answers

That is a 90 degree angle so:
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Answer:

x by the box

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Step-by-step explanation:

Please help me solve this.It’s really really important

Answers

What are the teaching y’all
What class is this ?

WILL GIVE BRAILIEST: 8th grade: equations and geometry


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Answers

That’s should he right but also it could of been 54

Answer:

C. j=2 and h=4

Step-by-step explanation:

Step 1: Create a system of equations for your problem based off what we know.

- we should know that the equation to find the perimeter of something is

[tex]P= 2l+2w[/tex] where P is the perimeter, l is the length, and w is the width.

- we know that the perimeter of Rectangle P is 20 inches and that the perimeter of Rectangle Q is 30

- we know the length and width of both rectangles

Using this information, lets set up our system.:

[tex]\left \{ {{20=2(j+4)+2h} \atop {30=2(3h)+2(j+1)}} \right.[/tex]

Step 2: Using the top equation we're going to try to solve for one of the variables. I chose to solve for variable j.

[tex]20=2(j+4)+2h[/tex]

Start by distributing 2 into j + 4.

[tex]20=2j+8+2h[/tex]

Now subtract 8 from both sides of the equation.

[tex]12=2j+2h[/tex]

Now isolate variable j by subtracting 2h from both sides of the equation.

[tex]12-2h=2j[/tex]

Now condense the equation into simple terms by dividing both sides by its GCF 2 then reorder to get j on the left.

[tex]j=6-h[/tex]

Step 3: Now that we solved for variable j we can now substitute j into one of our equations from the original system. I chose to use the bottom equation and chose to distribute it before substituting.

[tex]30=6h+2j+2[/tex]

Subtract two from both sides to isolate the variables

[tex]28=6h+2j[/tex]

Now we can plug j into our equation

[tex]28=6h+2(6-h)[/tex]

Step 4: Distribute 2 into 6-h

[tex]28=6h+12-2h[/tex]

Step 5: Combine like terms

[tex]28=4h+12[/tex]

Step 6: Subtract 12 from both sides of the equation

[tex]16=4h[/tex]

Step 7: Divide both sides by 4

[tex]4=h[/tex]

Now that we know that h=4 we can plug 4 into one of our earlier equations. I used j=6-h

[tex]j=6-4\\j=2[/tex]

Plug answers into either one of the original equations to check answer

(Will give 25 points!) Solve the system of linear equations by substitution. 1/2x + 1/4y = 2 x + y = 1

Answers

El ànswer si si si in what way
X=0.8
Y=0.6
These should be the answers

Help ASAP its due today!

Answers

Answer:

The answer is D) 60

Step-by-step explanation:

The answer is the fourth question, 60.
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