Two complementary angles have measures of ( 4x+5) and (2x+7) . What is the value of x?!

Answer:

x=4 or x= -2

Step-by-step explanation:

(x-1)(x-1)

x(x-1)-1(x-1)

x^2-x-x+1

x^2-2x+1=9

x^2-2x+1-9=0

x^2-2x-8=0

p= -8

s= -2

1------ -8

2------ -4

x^2+2x-4x-8=0

x(x+2)-4(x+2)

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

x+2=0

x-4=0

x= -2

or

x=4

Answer:

m∠1 = 89°

Step-by-step explanation:

     Since m∠2 is a part of ∠GFH, he can do the following.

∠GFH - m∠2 = m∠1

133° - 44° = 89°

Answer:

8[tex]\pi[/tex] miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= [tex]\pi r^{2}[/tex]

Therefore, the area of this circle is [tex]4^{2} \pi[/tex], or 16[tex]\pi[/tex]

Half of this area, because what you're looking for is a semi-circle, is:

8[tex]\pi[/tex] (exact) or 25.133 (rounded) miles.

Answer:

m= 15

Step-by-step explanation:

[tex] \frac{m}{9} + \frac{2}{3} = \frac{7}{3} [/tex]

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

[tex] \frac{m}{9} = \frac{7}{3} - \frac{2}{3} [/tex]

Simplify:

[tex] \frac{m}{9} = \frac{5}{3} [/tex]

Multiply both sides by 9:

[tex]m = \frac{5}{3} \times 9[/tex]

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

Step-by-step explanation:

A = 40w

To Calculate how much she would get in 7 weeks

Substitute w = 7 into A = 40w

⇒ A = 40(7)

⇒ A = 280

Gabrielle would save $280 in 7 weeks

Considering the order of operations, the operation that should be performed last is given by:

B Subtraction.

The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.

In this problem, the expression is:

(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)

Solving the operations inside the parenthesis, the expression will be given by:

2.5 + 30 + 1.7 - 90

Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.

More can be learned about order of operations at https://brainly.com/question/25909431

Additional requirements in figure :-

Mark point :-

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

✿Now let the left angle be x

we know :

Area of rectangle = Length × Breadth

STEPS :

Now let's find EF :

To find A

F :

In triangle AFE:

We know :

Area of triangle =( Height × Base)/2

Steps :

To find area of figure :

______________________

~WindyMint

Answer:

[tex]\displaystyle 62\:in.^2[/tex]

Step-by-step explanation:

▽ [tex]\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A[/tex]

▯ [tex]\displaystyle hb = A[/tex]

All edges meet at right angles, therefore resulting in this:

[tex]\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}[/tex]

I am joyous to assist you at any time.

Answer AP might be 12

Step-by-step explanation:

The length of AP when secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. is 12 units.

The length of AP can be found using the following steps:

Draw a radius from the center of the circle to point P.

Let the radius intersect secant AP at point E.

Since AP and PE are secant segments, they share a common external tangent at point P.

Therefore, the two triangles, APE and BPF, are similar triangles.

The ratio of corresponding sides in similar triangles is equal, so:

AP/PB = PE/PF

We know that PB = 5 and PF = 20, so:

AP/5 = PE/20

Solving for AP, we get:

AP = 5 * 20/5 = 20

The diagram shows the two similar triangles, APE and BPF. The two triangles are similar because they share a common external tangent at point P. The ratio of corresponding sides in similar triangles is equal, so we can use the ratio of AP to PB to find the length of AP.

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#SPJ2

Answer:

At 9:39 they both will Flick

Step-by-step explanation:

so when the first light flicks it resets and starts counting to anthor 8 mins while the other takes 4 mins extra just keep adding till they both have same time

Answer:

  False

Step-by-step explanation:

The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.

  (1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3

The given equation is FALSE.

__

This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.

#1

First the rectangle

Area

For semicircle

Area

Total area

#2

Area:-

The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.

The equation provided in the problem is,

[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Let the simplified form of the above expression is n. Thus,

[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Rewrite the equation to solve it further as,

[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]

The square of the term cancel out the square root of it. Thus,

[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]

Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

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Answer:

t = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes.

calculate the slope m of PQ and then equate the slope of AB to slope of PQ

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )

[tex]m_{PQ}[/tex] = [tex]\frac{-1-4}{4-(-2)}[/tex] = [tex]\frac{-5}{4+2}[/tex] = - [tex]\frac{5}{6}[/tex]

now calculate slope of AB

with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )

[tex]m_{AB}[/tex] = [tex]\frac{-2-(-3)}{t-4}[/tex] = [tex]\frac{-2+3}{t-4}[/tex] = [tex]\frac{1}{t-4}[/tex]

equating the slopes gives

[tex]\frac{1}{t-4}[/tex] = - [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(t - 4) = - 6

5t - 20 = - 6 ( add 20 to both sides )

5t = 14 ( divide both sides by 5 )

t = [tex]\frac{14}{5}[/tex]

solutions:

1) G ≅ F

2) DA ≅  ES

Explanation:

Q)1

ΔBIG ≅ ΔFNS

pairs that are congruent:

From the list given,

→ G ≅ F is not necessarily congruent.

Q)2

ΔDAL ≅ ΔEKS

pairs that are congruent:

From the list given,

DA ≅  ES  is not necessarily congruent.

Usually the congruence is done according to naming

So

<B=F

<I=<N

<G=<S

#2

Check the naming

So

DA=EK

So option D

None of the above. To form a standard triangle, all 3 sides must be of equal length.

Answer:

x = 9

Step-by-step explanation:

Simplifying

2 + -6(1 + -1x) = 6 + -4(-1x + -2)

2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)

2 + (-6 + 6x) = 6 + -4(-1x + -2)

Combine like terms: 2 + -6 = -4

-4 + 6x = 6 + -4(-1x + -2)

Reorder the terms:

-4 + 6x = 6 + -4(-2 + -1x)

-4 + 6x = 6 + (-2 * -4 + -1x * -4)

-4 + 6x = 6 + (8 + 4x)

Combine like terms: 6 + 8 = 14

-4 + 6x = 14 + 4x

Solving

-4 + 6x = 14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-4 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x

-4 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0

-4 + 2x = 14 + 0

-4 + 2x = 14

Add '4' to each side of the equation.

-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 14 + 4

2x = 14 + 4

Combine like terms: 14 + 4 = 18

2x = 18

Divide each side by '2'.

x = 9

Simplifying

x = 9

➝ Hypotenuse of triangle ( a ) = 21.63 mm

➝ Hypotenuse of triangle ( b ) = 150 mm

➝ Hypotenuse of triangle ( c ) = 111.80 mm

[tex] \quad\rule{300pt}{1.5pt}\quad[/tex]

We have to find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

" In a right angled triangle, the square of hypotenuse side is equal to the sum of square of other two sides "

[tex] \qquad \bull \:{\pmb{\mathfrak{ h^2 = b^2 + p^2}}}[/tex]

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

[tex] :\implies\qquad \sf{ h^2 = b^2 + p^2}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{b^2 + p^2}}[/tex]

[tex] :\implies\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}[/tex]

[tex] :\implies\qquad \sf{ h= \sqrt{144 + 324}}[/tex]

[tex] :\implies\qquad \sf{ h = \sqrt{468}}[/tex]

[tex] :\implies\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}}[/tex]

[tex] :\implies\qquad \sf{ h^2 = b^2 + p^2}[/tex]

[tex] :\implies\qquad \sf{h =\sqrt{b^2 + p^2} }[/tex]

[tex] :\implies\qquad \sf{ h = \sqrt{(90)^2+(120)^2}}[/tex]

[tex] :\implies\qquad \sf{ h=\sqrt{8100+14400}}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{22500}}[/tex]

[tex] :\implies\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} }[/tex]

[tex] :\implies\qquad \sf{h^2 = b^2 + p^2 }[/tex]

[tex] :\implies\qquad \sf{ h=\sqrt{b^2 + p^2}}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{(100)^2)+(50)^2}}[/tex]

[tex] :\implies\qquad \sf{ h=\sqrt{10000+2500}}[/tex]

[tex] :\implies\qquad \sf{ h =\sqrt{12500}}[/tex]

[tex] :\implies\qquad \underline{\underline{\pmb{\sf{h = 111.80mm}}} }[/tex]

Hypotenuse of triangle ( a ) = 21.63 mm

Hypotenuse of triangle ( b ) = 150 mm

Hypotenuse of triangle ( c ) = 111.80 mm

find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

[tex]h^2 = b^2 + p^2[/tex]

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

[tex]For \: \: triangle ( a )

\qquad \sf{ h^2 = b^2 + p^2}[/tex]

[tex]\qquad \sf{ h =\sqrt{b^2 + p^2}}[/tex][tex]\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}[/tex][tex]\qquad\sf{h=\sqrt{ (12)^2 + (18)^2 }} \\ \\ \qquad \sf{ h= \sqrt{144 + 324}} \\ \\ \qquad \sf{ h = \sqrt{468}}

\\ \\\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}} \\ \\ For \: \: triangle ( b ) \qquad \sf{ h^2 = b^2 + p^2} \\ \\ \qquad \sf{h =\sqrt{b^2 + p^2} } \\ \\ \qquad \sf{ h = \sqrt{(90)^2+(120)^2}} \\ \\ \qquad \sf{ h=\sqrt{8100+14400}} \\ \\

\qquad \sf{ h =\sqrt{22500}} \\ \\\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} } \\ \\ For \: \: triangle ( c ) \qquad \sf{h^2 = b^2 + p^2 } \\ \\ \qquad \sf{ h=\sqrt{b^2 + p^2}} \\ \\\qquad\sf{ h=\sqrt{(100)^2)+(50)^2}} \\ \\\qquad\sf{ h=\sqrt{10000+2500}} \\ \\ \qquad \sf{ h =\sqrt{12500}} \\ \\

\qquad\underline{\underline{\pmb{\sf{h = 111.80mm}}} } [/tex]

Answer:

The amount of money left for each section to spend from the budget in additional costs if they follow exact of the

options is

Option 1-$497.5

Option 2 - $494.5

Option 3 - $500.5

The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should

be matched accordingly.

Step-by-step explanation:

We first calculate the amount left per section after following each of the options.

Budget $4,428.00

Option 1.

Repair and replace uniforms at $564.00 per section and spend $182.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(564) + 182 $2438

Amount of money left from the budget after spending= 4428-2438 = $1990

Amount left per section = (1990/4) =

$497.5

Option 2

ធ

Repair and replace uniforms at $593.00 per section and spend $78.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(593) + 78 $2450

Amount of money left from the budget after spending= 4428 - 2450= $1978

Amount left per section = (1978/4)=

$494.5

Option 3

Repair uniforms at $287.00 per

section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.

There are 4 sections, hence, total amount spent in this option:

4(287) + 856 +422 = $2426

Amount of money left from the budget

after spending = 4428-2426 = $2002

Amount left per section = (2002/4)= $500.5

Answer:

x= -8,y= -4

Step-by-step explanation:

Substitute x= -8

-6(-8)+9y=12

simplify

48+9y=12

isolate for y

y= -4

The solutions to the system of equations are:

x= -8 and y= -4

Answer:

Below :)

Step-by-step explanation:

1) 5^2 = 25

2) 12^2 = 144

3) 9^2 = 81

4) 15^2 = 225

5) 8^2 = 64

6) 7^2 = 49

7) 20^2 = 400

8) 13^2 = 169

9) 30^2 = 900

10) 25^2 = 625

5/6 x 4/9 = 10/27 as a fraction form. The work for 5/6 times 4/9 as a fraction provides more insight of how to find what is 5/6 times 4/9 in fraction form and the different variations of such problems.

Answer: 10 inches

Step-by-step explanation:

Answer:

I would say that a is NOT an inverse, however b is.

Step-by-step explanation:

If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.

While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.

Hope this helps you btw. I'm sorry if it doesn't though.

Answer:

c

Step-by-step explanation:

because you can simplify 4/6 by 2.

2 goes into 4 twice and then 2 goes into 6 3 times

2/3

Step-by-step explanation:

the area of a full circle (360°) is

pi×r²

r = 15 ft in our case

the area of a segment of a circle is the corresponding fraction of the whole circle area.

the angle of the shaded area is

360 - 332 = 28°

therefore, the area of the shaded area is

pi×15²×28/360 = pi×225×28/360 = pi×225×7/90 =

= pi×5×7/2 = 54.97787144... ft²

≈ 54.98 ft²

the area of the "ice rink" is the sum of a rectangle and a circle (which is split into 2 halves that are attached to both sides of the rectangle).

the radius of the circle is 7/2 = 3.5 meters.

the length of the rectangle in the middle is

18 - 2×3.5 = 18 - 7 = 11 meters.

so, the area of the rectangle is 11×7 = 77 m²

the area of the circle is

pi×r² = pi×3.5² = pi×12.25 = 38.48451001... m²

that means the total area is

77 + 38.48451001... = 115.48451... m² ≈ 115.48 m²

Answer:4:15

Step-by-step explanation:

EZ

The thermometer is a device that is used to measure the temperature gradient. Anders needs to set the boiling point of water at 100° C.

The thermometer is a device that is used to measure the temperature gradient or the temperature of a body/object.

The boiling point of water is 100°C, therefore, Anders needs to set the boiling point of water at 100° C.

Thus, Anders needs to set the boiling point of water at 100° C.

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Answer:

you first divide fifty out of one hundred then we multiply it by thirty