A regular pentegon is divided into five identical isosceles triangles. The area of the regular Pentagon is Bcm^2 . Write a formula for T, the area of one of the triangles

Answer:

D.  W corresponds to E

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Bob earns $2900 per month. 15% of his salary is deducted for his car loan.

First, we need to calculate the deduction for the car:

Deduction= 2,900*0.15

Deduction= $435

Now, the monthly salary that remains for Bob:

Montlhy salary= 2,900 - 435

Monthly salary= $2,465

Answer:

Formula Of Vertex and Line of symmetry

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex"

Answer:

4,n=4

Step-by-step explanation:

D=(n,-2) and E=(n,2)

the distance from D to E ,

√{(n-n)^2+(-2-2)^2}=√16=4

the co-ordinate of point C=(0,-2)

given,DC=DE

→√{(n-0)^2+(-2+2)^2}=√16

→n^2=16

therefore,n=4

Answer:

the area would be 10 i

Step-by-step explanation:

reason being the base is 4 and the height is 5 the answer was right for me

what i has highlighted in the picture is the answer

Answer:

Step-by-step explanation:

2. Tan 48=x/17

X=17 tan 48

X=18.9

3. Sin 67=x/29

29 sin 67=x

X=26.7

4. Sin29= 12/x

Xsin29/sin29 =12/sin29

X=24.8

5. Cos16 =x/37

X=37cos16

X=35.6

6. Tan 58 =22/x

X=22/tan58

X=13.7

7. Tan 51= X/15

15 tan 51=x

X=18.5

8. Cos37=48/x

X=48/ cos37

X=60.1

9. Sin24=x/9

9sin 24=x

X=3.7

Answer:

Step-by-step explanation:

2. Tan 48=x/17

X=17 tan 48

X=18.9

3. Sin 67=x/29

29 sin 67=x

X=26.7

4. Sin29= 12/x

Xsin29/sin29 =12/sin29

X=24.8

5. Cos16 =x/37

X=37cos16

X=35.6

6. Tan 58 =22/x

X=22/tan58

X=13.7

7. Tan 51= X/15

15 tan 51=x

X=18.5

8. Cos37=48/x

X=48/ cos37

X=60.1

9. Sin24=x/9

9sin 24=x

X=3.7

Answer:

9 6/7 is the answer

Answer:

6^(2/3)

Step-by-step explanation:

exponent fraction rule

Answer:

the first one, 6^2/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:

y = mx + b

Where m is the slope, b is the intercept, and y & x are two data points from the graph.

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

Answer:

so what exactly is the question? it's not complete yet, I guess..what do you want me to find?

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

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Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

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So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

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For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

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#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

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Hope this is what you were looking for and helps you! Have a nice day/night :)

Answer:

-18

Step-by-step explanation:

Hope that helps

You do 3(-6) to get neg 18

Answer:

-18

Step-by-step explanation:

-6 x 3 = - 18.

Step-by-step explanation:

You will need the hypotnuse. to find that use a squared plus b squared is c squared

Answer:

The area of the shape is 89m²

Step-by-step explanation:

You need to subtract the area of the empty triangle from the area of the rectangle.

The rectangle's area is 13m × 8m = 104m²

The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²

Subtract the triangle's area from the rectangle:

104m² - 15m²

= 89m²

Answer:

37 - 22 =  WC height

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

Answer:

Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51

Step-by-step explanation:

A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.

Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.

Alt. interior angles are congruent so Angle 3=39.

In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.

[tex]39 + 90 + x = 180[/tex]

[tex]129 + x = 180[/tex]

[tex]x = 51[/tex]

so angle 4=51.

Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.

Rhombus also has angle bisectors to angle 1=angle 2.

Angle 2=51.

Answer:

15:00 PM and 3:00 PM ,they mean the same exact thing

Step-by-step explanation:

Answer:

X is 28

Step-by-step explanation:

All angles in a triangle ad up to 180 degrees.

85 + 67=152

180-152=28.

Hope it helped.

Answer:

28

Step-by-step explanation:

All triangles equal 180.

85+67=152

180-152=28

Your answer is 28

Answer:

1/4

Step-by-step explanation:

[tex] \frac{3}5 \div x = \frac{12}{5} \\ \\ \frac{3}{5 } \times \frac{1}{x} = \frac{12}{5} \\ \\ \frac{3}{5x} = \frac{12}{5} \\ \\ x = \frac{3 \times 5}{12 \times 5} \\ \\ x = \frac{1}{4} [/tex]

Let's say that 'a' is some positive number. Let's pick a = 5.

That means |x| = a turns into |x| = 5

The equation |x| = 5 solves to x = -5 or x = 5.

This is because the values -5 and 5 on the number line are exactly five units away from zero.

In short, a = 5 leads to |x| = a having the two solutions x = -5 or x = 5.

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Keeping the same value of 'a', the equation |x| = -a turns into |x| = -5

What number on the number line is exactly negative 5 units away from zero? The answer is "no such number exists". Distance is never negative.

Therefore, |x| = -5 has no solutions.

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So if a = 5, then the first equation |x| = a has two solutions, while |x| = -a has no solutions.

If we made 'a' to be some negative number, then things would flip around. In this case, it would mean |x| = a has no solutions while |x| = -a has two solutions.

The only time both equations would have a solution is when a = 0

We can see that |x| = a becomes |x| = 0, and |x| = -a becomes |x| = -0 or just |x| = 0 which is the exact same thing the first equation turned into. We're dealing with the same equation at this point.

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If your teacher states "The value of 'a' is nonzero", then the two equations do not have the same solution set. If a = 0, then it leads to x = 0 as the only solution for both equations.

Answer:

1. A = 64 cm²

2. A = 240 yd²

3. A = 220.5 cm²

4. A = 193.4 m²

Step-by-step explanation:

1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.

Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

2. We want to split this figure into a triangle and a rectangle.

Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.

For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.

Do this same thing to find the height of the triangle.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

3. We want to split this figure into a triangle and semicircle.

We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.

Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

4. We want to split this figure into a rectangle and semicircle.

For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.

Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.

Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

Answer:

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

Step-by-step explanation:

The equation of the circle with center A=(a,b) and radius = r are:

[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]

When A=(3,-2) and radius=r=-5

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

Answer:

Step-by-step explanation:

(–5g^5 h^6)^2 × (g^4 h^2)^4        the ^ carot symbol means raised to power X

 (25 g^10 h^12) × (g^16 h^8)         exponents raised to powers MULTIPLY

  -5² = 25   g^5² = g^10  h^6² = h^12     do the same thing with   (g^4 h^2)^4

  25 g^(10+16) h^(12+8)                 collecting terms powers ADD

  25 g^26 h^20                         Which letter is the answer?  

                                                  Did you follow my explaination?

Answer:

B. –25g26h20

Step-by-step explanation:

Answer:

The perimeter of a rectangular field is 100 meters

Step-by-step explanation:

The given data of the rectangular field are;

The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²

The total cost of levelling the field, T[tex]_c[/tex] = 30,000

The length to breadth ratio of the field, L:B = 3:2

Where;

L = The length of the field

B= The breadth of the field

From the given data of the field, we have;

The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]

∴ A = 30,000/(50/m²) = 600 m²

The area of the field, A = 600 m²

The formula for the area of a rectangle, A = Length, L × Breadth, B

A = L × B

We are given that the length to breadth ratio of the field, L:B = 3:2

∴ L/B = 3/2

L = (3/2) × B

The area of the rectangular field, A = L × B

∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²

A = (3/2) × B²

From the calculation for the cost of levelling the field, we have, A = 600 m²

∴ A = (3/2) × B²

A = 600 m²

By transitive property, we have;

(3/2) × B² = 600 m²

B² = (2/3) × 600 m² = 400 m²

B = √(400 m²) = 20 m

The breadth of the field, B = 20 m

From L = (3/2) × B, we have;

L = (3/2) × B

∴ L = (3/2) × 20 m = 30 m

∴ The  length of the field, L = 30 m

The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;

The perimeter of a rectangle, P = 2·L + 2·B

Therefore, for the rectangular field, we have;

P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m

The perimeter of a rectangular field, P = 100 m.

Answer:

x = 65

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

80+30+70=180, so 70+x = 90 so x =20