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3 years ago

The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?

Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

P = 54.6

To find the perimeter, we just need to add all the sides [ P = a + b + c ]

So, put what we have in the formula above.

54.6 = 8.7 + b + c

Best of Luck!

mash [69]3 years ago

3 0

Answer:

17.4 + b= 54.6

Step-by-step explanation:

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Y_Kistochka [10]

Answer:

y=3.65

X=11.85

Step-by-step explanation:

sin(60)=y/12

sin(60)×12=y

y=3.65

sin(30)=X/12

sin(30)×12=X

X=11.85

5 0

2 years ago

Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposit

Alex_Xolod [135]

Answer:

Yes! The given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite sides congruent.

Step-by-step explanation:

Given the quadrilateral with the four vertices.

Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite sides are congruent or not.

It is clear that the given quadrilateral has opposite sides congruent.

Therefore, the given quadrilateral represents Parallelogram.

Hence,

Yes! The given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite sides congruent.

7 0

2 years ago

A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a

ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

= b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

= b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0

2 years ago

Could someone please help on this question? I’m giving 20 points and brainliest but I need it quickly so please help!

AnnZ [28]

<h3>Answer: HF = 5</h3>

=============================================

Explanation:

Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.

The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.

Let y be the length of segments JA and JB.

Let z be the length of segments CF and CA.

So in short we have

x = HF = HB
y = JA = JB
z = CF = CA

We know that

CH = 13
HJ = 19
CJ = 22

This must mean

CH = CF+HF = z+x = 13
HJ = HB+JB = x+y = 19
CJ = CA+JA = z+y = 22

Or in short,

z+x = 13
x+y = 19
z+y = 22

Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.

Now plug this into the third equation to get

z+y = 22

(z) + y = 22

(-x+13) + y = 22 ... replace z with -x+13

-x+13+y = 22

-x+y+13 = 22

-x+y = 22-13 .... subtract 13 from both sides

-x+y = 9

------------------------------------

So we have this reduced system of equations of two variables and two equations

x+y = 19 ... found earlier
-x+y = 9 .... what we just found above

Add the equations straight down. This is the elimination property.

Doing so leads to the x terms canceling out since x + (-x) = 0x = 0

The y terms add to y+y = 2y

The terms on the right hand side add to 19+9 = 28

We are left with 2y = 28 which solves to y = 28/2 = 14.

If y = 14, then,

x+y = 19

x+14 = 19

x = 19-14

x = 5

In which we can then say

z = -x+13

z = -5+13

z = 8

Though we don't need to find z (unless you're curious about it).

Since x = 5, and we set HF equal to x, this means that HF = 5.

6 0

3 years ago

Please help me! I'm having trouble...

dezoksy [38]

Answer:

-46

Step-by-step explanation:

4-2(25)=

4-50=

-46

6 0

3 years ago

Read 2 more answers