0.004 X 100 = 0.004 X 102

Answer:

Step-by-step explanation:

Since it's a triangle all it's interior angles sum up to 180°

The triangle is isosceles which means two of it's angles are equal

From the question

[tex]m\angle B = m\angle C = 41 \degree[/tex]

So to find [tex]m \angle A[/tex] add up all the angles and equate it to 180° and solve for A

That's

[tex]m\angle A + m\angle B + m\angle \: C = 180 \\ m\angle A = 180 -m\angle B - m\angle \: C \\ m\angle A = 180 - 41 - 41 \\ = 180 - 82[/tex]

We have the final answer as

[tex]m\angle A = 98[/tex]

Hope this helps you

Answer: 4x + y = 10 is -y+10/4                    X-5y=13 is x=5y+13

Step-by-step explanation:

The value of x and y in the equations given are -2 and 3 respectively.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,

4x+y = 10.......(i)

x-5y = 13

x = 13+5y......(ii)

Substituting eq(ii) in eq(i)

4(13+5y)+y = 10

52+20y+y = 10

21y = 10-52

21y = -42

y = -2

Put y = -2 in equation (ii),

x = 13+5(-2)

x = 13-10

x = 3

Hence, The value of x and y in the equations given are -2 and 3 respectively

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Answer:

[tex]\frac{1}{x-1}[/tex] - [tex]\frac{1}{x+2}[/tex] - [tex]\frac{3}{(x+2)^2}[/tex]

Step-by-step explanation:

Expressing as a partial fraction

[tex]\frac{9}{(x-1)(x+2)^2}[/tex] = [tex]\frac{A}{(x-1)}[/tex] + [tex]\frac{B}{(x+2)}[/tex] + [tex]\frac{C}{(x+2)^2}[/tex] ( A, B, C are numerical values to be found )

Multiply both sides by (x - 1)(x + 2)²

9 = A(x + 2)² + B(x - 1)(x + 2) + C(x - 1)

Choose value for x that are zeros of the factors and substitute into right side

x = - 2 : 9 = - 3C ⇒ C = - 3

x = 1 : 9 = 9A ⇒ A = 1

x = 0 : 9 = 4A - 2B - C , that is

9 = 4 - 2B + 3 = - 2B + 7 ( subtract 7 from both sides )

2 = - 2B ⇒ B = - 1, then

A = 1, B = - 1, C = - 3

Thus

[tex]\frac{9}{(x-1)(x+2)^2}[/tex] = [tex]\frac{1}{x-1}[/tex] - [tex]\frac{1}{x+2}[/tex] - [tex]\frac{3}{(x+2)^2}[/tex]

Step-by-step explanation:

Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.

By interior angle sum postulate of a triangle:

a + b + c = 180°... (1)

Therefore, by remote interior angle theorem:

x = b + c.... (2)

y = a + c..... (3)

z = a + b.... (4)

Adding equations (2), (3) & (4)

x + y + z = b + c + a + c + a + b

x + y + z = 2a + 2b + 2c

x + y + z = 2(a + b + c)... (5)

From equations (1) & (5)

[tex]x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles[/tex]

Thus, the sum of exterior angles so formed is equal to four right angles.

Proved.

Factors of 51: 1, 3, 17, 51

Factors of 68: 1, 2, 4, 17, 34, 68

As you can see the greatest common factor of both numbers is 17.

Therefore, the answer is C.

Best of Luck!

Answer:

9x-6y+3xy+9

Step-by-step explanation:

firstly rearrange

9x-6y-6xy+9xy+9

then simplify those that can

-6xy + 9xy = +3xy

hence

9x-6y+3xy+9

Answer:

-5x is less than 4 or x is less than -0.8

Step-by-step explanation:

Answer:

he got 4problems wrong

can you please give me brainliest

Answer:

y+8 inches

Step-by-step explanation:

since it's eight inches taller we have to add 8 inches to niki's height

Answer:

The midpoint between 2 points is (1,2.5) .

Step-by-step explanation:

We have to apply midpoint formula :

[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

[tex]let \: (x1,y1) \: be \: ( - 8,4)[/tex]

[tex]let \: (x2,y2) \: be \:(10 , - 9)[/tex]

[tex]midpoint = ( \frac{ - 8 + 10}{2} , \frac{4 + ( - 9)}{2} )[/tex]

[tex]midpoint = ( \frac{2}{2} , \frac{ - 5}{2} )[/tex]

[tex]midpoint = (1,2.5)[/tex]

Answer:

its volume

Step-by-step explanation:

Answer:

Volume is the unit that measures space of an object

Step-by-step explanation:

2, 5, 10

by 2 because it ends with a 0

by 5 because it ends with a 0

by 10 because it ends with a 0

Answer:

No, Its not.

Step-by-step explanation:

Kindo forgot Why and How.. Sorry!!

Answer:

25/26 or 96.2%

Step-by-step explanation:

In the alphabets, we have 26 letters

If we remove Z, we have A -Y which is 25 alphabets

The question requires us to find the theoretical probability of choosing any other letter that is not Z

Probability= ratio of other alphabets that are not z to the number of letters in the alphabets.

Probability = 25/26 (as a fraction)

Probability = 0.9615 x 100 = 96.2% (as a percentage and to the nearest tenth)

Answer:

Step-by-step explanation:

x^2 - 8x + 16 = (x - 4)^2

the first one

Noon to 2:00 pm is 2 hours

3 degrees to -1 degree is a total of 4 degrees.

The temperature changed 4 degrees in 2 hours.

4/2 = 2

The temperature dropped 2 degrees per hour.

Answer:

3+X=[3+X]4

Step-by-step explanation:

Let the number be X

we add x by three = 3+x

the sum of 3+x is 3+x

so we multiply the whole sum by 4 which is [3+x]4

so the ans is 3+x=[3+x]4

GOODLUCK ;]

Answer:

1:4

Step-by-step explanation:

No of girls :3

No. Of boys:12

Hence 3:12

1:4

Answer:

3x-21+4=28-2x...... Multiply 3 with (x-7)

3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4

5x=45.....Add and subtract as required

x=45/5....Taking 5 from left side to right side and dividing it

x=9.....Normal division

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 9}}}}[/tex]

Step-by-step explanation:

[tex]\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }[/tex]

Answer:

[tex] \huge \frac{4}{9 {x}^{4} {y}^{6} }[/tex]

Step-by-step explanation:

[tex] \huge \bigg( \frac{2 {x}^{ - 2} }{3 {y}^{3} } \bigg)^{2} \\ \\ \huge = \frac{ {2}^{2} ( {x}^{ - 2})^{2} }{ {3}^{2} ( {y}^{3} ) ^{2} } \\ \\ \huge = \frac{4 {x}^{ - 4} }{9 {y}^{6} } \\ \\ \huge = \frac{4}{9 {x}^{4} {y}^{6} } \\ [/tex]

Answer:

3x-20

Step-by-step explanation:

I had this test yesterday and this was the correct answer

The equation  D. y = 20 - 3x Megan use to find the amount of change.

An equation is is a tool that expresses two equality of two given expressions.

According to the given question Megan bought 3 pounds of apples that cost x dollars per pound. She gave the cashier a 20-dollar bill.

Let y denotes the change she received.

If 1 pound of apple cost x dollars then 3 pounds of apples will cos 3×x = 3x dollars.

∴ y = 20 - 3x.

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Answer:

Yes.

Step-by-step explanation:

The sum of two odd numbers is always even. The product of two or more odd numbers is always odd. The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.

Answer:

80

Step-by-step explanation:

6+4=10

10x8=80

Hope this helped!!! Have a nice day and please mark me brainliest!!!

UwU

Step-by-step explanation:

8(n + 6) = 4

8n + 48 = 4

8n = 4 - 48

8n = -44

n = - 5.5

Answer: Your answer is 7x-13.

Answer: 9^-16

Step-by-step explanation:

If an exponents have the same base and are  being multiplied together, all you do is just add the exponents and make the base stay the same

9[tex]9^{-53} * 9^{37} = 9^{-16}[/tex]

Negative exponents can be rewritten as positive exponents if you put them in the denominator.

[tex]x^{-a}=\frac{1}{x^a}[/tex]

Using this rule, we can rewrite the equation.

[tex]9^{-53}*9^{37}=\frac{1}{9^{53}}*9^{37}[/tex]

[tex]\frac{9^{37}}{9^{53}}[/tex]

Then, we can use exponent division rules.

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]\frac{9^{37}}{9^{53}}=9^{37-53}[/tex]

[tex]9^{-16}[/tex] or [tex]\frac{1}{9^{16}}[/tex]

Hope this helps.

頑張って!

Answer:

x=3

Step-by-step explanation:

1) get rid of the parenthesis by distributing the 2. You will get 8x-6-8=4+2x

2) Now combine like term on each side of the equal sign. You will get 8x-14=4+2x

3) Move the 14 to the right side of the equation making it +14 and move your 2x to the left side of the equation making it -2x. You will get 8x-2x=4=+14

4) calculate each side. You will get 6x=18

5) Divide both sides. You will get x=3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 26x + 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5x + 3)(2x + 4)}[/tex]

Use distribute property to multiply each term of the first binomial by each term of the second binomial.

[tex] \dashrightarrow{ \sf{5x(2x + 4) + 3(2x + 4)}}[/tex]

[tex] \dashrightarrow{ \sf{10 {x}^{2} + 20x + 6x + 12}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{10 {x}^{2} + 26x + 12}}[/tex]

Hope I helped !

Best regards! :D

Answer:

Length of the square poster = 6.1 in

Step-by-step explanation:

Area of a square poster = 37 in^2

Area of a square = length^2

37 = lenght ^2

Find the square root of both sides

√37 = √ length ^2

Length = 6.0828 in

Approximately

Length of the square poster = 6.1 in