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Answer: 67°

Step-by-step explanation:

From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.

Therefore,

Angle 1 + Angle 4 = 180°

113° + Angle 4 = 180°

Angle 4 = 180° - 113°

Angle 4 = 67°

Therefore, the measure of <4 is 67°

Answer:

Step-by-step explanation:

4x > -16 reduces to x > -4:  All numbers greater than x = -4 (shaded area to the right of -4).

6x < -48 reduces to x < -8:  All numbers to the left of -8 (shaded area to the left of -8).

Solution:  (-infinity, -4) ∪ (-8, infinity)

The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)

Draw an open circle at -8 and extend an arrow to the left of this circle.  Then draw an open circle at -4 and extend an arrow to the right of this circle.

Answer:

11 cents

Step-by-step explanation:

1 penny = 1 cent

1 nickel = 5 cents

2×1 nickel = 10 cents

1 penny + two nickels

= 1 cent + 10 cents

= 11 cents

Think back to the definition of absolute value:

• If x ≥ 0, then |x| = x.

• If x < 0, then |x| = -x.

In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.

This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.

In this case,

|4√2 - 6| = -(4√2 - 6) = 6 - 4√2

because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:

4√2 = √16 √2 = √32

6 = √36

and √32 < √36 because 32 < 36.

Similarly,

|2√10 - 6| = 2√10 - 6

because

2√10 = √4 √10 = √40

6 = √36

So ultimately,

|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2

Answer:

Step-by-step explanation:

Answer:

C = 20

Step-by-step explanation:

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390

6A + 4B + 5.75C = 405​

Step 1

We solve for C first

6A + 4B + 5C = 390....Equation 1

6A + 4B + 5.75C = 405​... Equation 2

We substract Equation 1 from Equation 2

0.75C = 15

C = 15/0.75

C = 20

Answer:

6 people

Step-by-step explanation:

$230 - $8 = $222

x · 35.75 = 222

x · 35.75 ÷ 35.75 = 222 ÷ 35.75

[tex]x=6\frac{30}{143}[/tex]

Answer:

5x + 15x²

Step-by-step explanation:

Given the expression 5x(1+3x)

Generally, according to the distribution rule,

A(B+C) = AB + AC

A is distributed over B and C

Similarly,

5x(1+3x)

= 5x(1) + 5x(3x)

= 5x + 15x²

Hence the expression required is 5x + 15x²

Answer:

6/5

Step-by-step explanation:

2x+3=ky

ky=2x+3

y=(2x+3)/k

y=2x/k + 3/k - > equation 1

y=mx + c - >equation 2

Comparing equation 1 and 2,

2/k=m

2/k=5/3

6/5=k

k=6/5

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

sorry im answering late..

Answer:

27

Step-by-step explanation:

9x0=0  9x1=9  9x2=18                                

[9x3=27]  9x4=36  9x5=45  

9x6=54  9x7=63  9x8=72  

9x9=81  9x10=90  9x11=99

9x12=108

Answer:

RESPOSTA:B) 440.000

Step-by-step explanation:

UMA BASICA EXPLICAÇÃO: BASTA PEGAR OS 5 500HAB/KM

E MULTIPLICAR ELE PELO TERRITORIO QUE É:80KM

5 500HAB × 80KM = 440.000

The probability associated with the shaded area under the curve is 0.6267

From the curve, we have the following parameters:

z1 = 0.4

z2 = 1.9

Using the standard normal table, determine the p values at the respective z-scores

P(z >0.4) = 0.3446

P(z<1.9) = 0.9713

The probability is then calculated using:

P = P(z<1.9) - P(z >0.4)

Substitute the known values

P = 0.6267

Hence, the probability associated with the shaded area under the curve is 0.6267

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Answer:

The standard normal table gives areas under the curve to the left of z-scores.

Find the probability in the standard normal table that a value is to the left of 1.9.

Find the probability in the standard normal table that a value is to the left of 0.4.

Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.

Answer:

86

Step-by-step explanation:

43×2=86

bisector means halves an angle into two equal angles

Answer:

a S(-3) = 2(-3)(-3)+5(-3)-12

=18-15-12

=-9

b 2x2+5x-12=0

2x2+8x-3x-12=0

2x(x-4)-3(x+4)=0

(2x-3)(x+4)=0

2x-3=0

x=3/2

x=-4

sorry I couldn't answer the other question

Answer:

D)

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

Y-intercept=0

The equation of line is y = ( 2/7 )x where the slope of line is m = 2/7

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 7 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 0 ) / ( 7 - 0 )

Slope m = 2/7

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Therefore , the value of A is y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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Step-by-step explanation:

Obviously A is the correct answer you have already gave us hint. Btw thanks for the pts

Match the graph with the correct set of equations for each linear system.

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

Answer:

2/8 + 3/8

1/8 + 4/8

Step-by-step explanation:

I hope this is what you mean!

If this helps you, please mark brainliest!

The requried, 5/8 can be expressed in two different ways of the sum as  1 / 8 + 4 / 8 and 2/8 + 3/8.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As mentioned in the quesiton, to determine 5/8 as a sum of fractions in two different ways.

5 / 8 = a / 8 + b / 8
5 = a + b

So the above-modeled equation, gives the required fraction, by assuming a value that satisfies the equation,
For a = 1, 2, 3, 4 , b = 4, 3, 2, 1

So different combination is given as, 1 / 8 + 4 / 8 and 2/8 + 3/8.

Thus, the requried, 5/8 can be expressed in two different ways of the sum as  1 / 8 + 4 / 8 and 2/8 + 3/8.

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Answer:

[tex]6ft^2[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:  [tex]A=\frac{1}{2} bh[/tex]

The base is 4 because 2 + 2 = 4

[tex]A=\frac{1}{2}( 4)(3)[/tex]

[tex]A=\frac{1}{2} (12)[/tex]

[tex]A=6[/tex]

Hope this helps

Answer:

A) The first one for whole triangle = 6ft^2

or

B) The second one for blue  = 3ft^2

Step-by-step explanation:

T1 Area = 1/2 x 3 x 4 = 6ft^2

T2 Area = 1/2 x 3 x 2 = 3ft^2

T3 Blue Area = 6-3 = 3ft^2

Answer:

Step-by-step explanation:

x+15 = 2x-40

Move x to the right side and you get 15 = x-40

Move -40 to the left side and you get x = 55

In order for the parallelogram to be a rhombus, x must equal 55.

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add up to 180 degrees.

We have,

If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.

We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.

x + 15 = 2x - 40

First, we can simplify by adding 40 to both sides and getting:

x + 55 = 2x

Next, we can subtract x from both sides and get:

55 = x

Therefore,

In order for the parallelogram to be a rhombus, x must equal 55.

To verify this, we can substitute x = 55 back into the expressions for the sides:

x + 15 = 55 + 15 = 70

2x - 40 = 2(55) - 40 = 70

Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.

Thus,

In order for the parallelogram to be a rhombus, x must equal 55.

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Answer:

called "pi".

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Given

2(x - 3) = 2x + 5 ← distribute parenthesis on left side

2x - 6 = 2x + 5 ( add 6 to both sides )

2x = 2x + 11 ( subtract 2x from both sides )

0 = 11 ← not possible

This indicates the equation has no solution

Answer: 23 shirts

Step-by-step explanation:

Given

Ms. Jane bought 50 m cloth to stitch shirts

If one shirt requires 2m and 15 cm cloth i.e. [tex]2+0.15=2.15\ m[/tex]

No of shirts that can be made using 50 m cloth

[tex]\Rightarrow \dfrac{50}{2.15}=23.25\approx 23\ \text{Shirts}[/tex]

Therefore, Ms. Jane can made 23 shirts from 50 m cloth.

Answer:

[tex]tan \theta = - \frac{7}{24}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]

        [tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]

Answer:

-33.33%

Step-by-step explanation:

((450-300)÷450)×100

(150÷450)×100

-33.33%

Answer:

~28

Step-by-step explanation:

5 feet 3 inches is 5.25 feet.

We divide 7/5.25 which equals 1.3333333333333 (repeating)

That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)

Answer:

430 cm^2

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