PLEASE ANSWER DUE TODAY
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}[/tex]

Given term:

[tex]\sqrt{\dfrac{144}{25} }[/tex]

This term can also be written as;

[tex]\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}[/tex]

Clearly, we can see that 144 and 25 are perfect squares. Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}[/tex]

According to an exponent property, (a²/b²) = (a/b)². Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }[/tex]

Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}[/tex]

Therefore, the simplified term is 2.4.

Learn more about this topic; https://brainly.com/question/11710437

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Town B = 47000 square miles

Town A = 57000 square miles

Answer:

180 square yards

Step-by-step explanation:

there are 3 shapes that create the total area :

a large right-angled triangle to the right. its baseline is 16 yd. the left side is a bit complicated, we get to it.

a small middle rectangle with length 6 yd. it's width is 3 yd.

is area is 6×3 = 18 yd²

a large rectangle at the bottom left with length 11 yd and width 6yd.

its area is 11×6 = 66 yd²

now, how long is the left side of the triangle ? we need it as the height of the triangle to get the area

baseline × height / 2

we see that a part of the left side is 8 yd.

then the width of the middle rectangle is also a part of that left side : 3 yd.

and then we notice that the triangle goes a little bit below the top length side of the large rectangle. how much ? well the actual width of the large rectangle is 6 yd, but the side under the triangle says only 5 yd. so, the missing piece is 6-5 = 1 yd.

so, the full left side is

8 + 3 + 1 = 12 yd

and the area of the triangle is

16×12 / 2 = 16×6 = 96 yd²

so, the total area of the figure is

18 + 66 + 96 = 180 yd²

Answer:

x^2 + 11x + k = 0

(-4) ^2 + 11 (-4) + k = 0

16 - 44 + k = 0

-28 + k = 0

K = 28

Hope Helpful ~

To calculate temperature (C ∘ F) Celsius to Fahrenheit for the month, use the following expression.

Temperature is the way to express the hotness or coldness of a body or object surface. The scales of measuring temperature are:

To convert Fahrenheit to Celsius, we use the following formula.

[tex]^oF=^oC\times\dfrac{9}{5}+32[/tex]

The formula to convert Celsius to Fahrenheit is

[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]

Now, there is no data given in the problem. Thus, the above formula for any data can be used to convert the unit of temperature measurement.

Hence, to calculate temperature (C ∘ F) Celsius to Fahrenheit for the month, use the following expression.

[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]

Learn more about the temperature measurement here:

https://brainly.com/question/4735135

#SPJ1

Answer:

1122

If you do 18 (the first number in the sequence) plus 69 because you have to do 70 minus 1 equals 69. So 18 plus 69 then you times 16 (how many you have to get to the next number).

18+69×16=1122

Step-by-step explanation:

Answer:

x= 11.87

Step-by-step explanation:

sec(32) = 14 /x

1.18=14/x

x1.18 =14

x= 11.87

To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.

The area of the field is equal to 8719.36m^2

Let us start by finding the area of the rectangle.

Data;

Area of a rectangle is given as

[tex]a = length * width \\a = 86 * 64\\a = 5504m^2\\[/tex]

The area of the rectangle is 5504m^2

Area of the semicircle

The formula of a semi circle is given as

[tex]A = \frac{1}{2} \pi r^2[/tex]

But since we have two semi circles here, we can simply multiply it by two and the formula becomes

[tex]A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2[/tex]

But in the question, we have the diameter of the semi circle as the length of the rectangle.

[tex]radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m[/tex]

The radius of the semicircle is 32m

Area of the semicircle is

[tex]A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2[/tex]

The area of the field is

[tex]area of field = 3215.36 + 5504\\area = 8719.36m^2[/tex]

The area of the field is equal to 8719.36m^2

Learn more on area of rectangle and semi circle here;

https://brainly.com/question/2906652

#SPJ1

Answer:

14 meters

Step-by-step explanation:

The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

The points are given as:

(-5, 2) and (-3, 6)

The equation of  a circle is represented as:

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

Where:

Substitute both points in the above equation

[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]

[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]

The radii are equal.

So, we have:

[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]

Expand the equations

[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]

Evaluate the like terms

[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]

Collect like terms

6a -10a - 4b + 12b = 9  + 36  - 25 - 4

Evaluate

-4a + 8b = 16

Divide through by - 4

a - 2b = -4

Next, we test the options:

Option (a) (a,b) = (0,2)

Substitute these values in the equation

0 - 2*2 = -4

Evaluate

-4 = -4

Both sides of the equation are the same

Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ1

Answer:

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.

Answers

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.A total of 360 residents left Planet X in the past 3 years.

Answer: 3

Step-by-step explanation:

Answer:

B=25

Step-by-step explanation:

Simply plug in 10 where x is

2(10)2(10-5)/10(10) = 25

Answer:

704 cm³

Step-by-step explanation:

Things to understand :

Solving :

Volume (prism) = Volume (rectangular prism) - Volume (cylinder)

Volume = LWH - πr²h

Volume = 5 x 13 x 13 - π x 3² x 5

Volume = 845 - π x  45

Volume = 845 - 141.3

Volume = 704 cm³

[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]

Step-by-step explanation:

Information about diagram- The diagram is a square prism with a circular hole in it.

Given:

length of prism (a) = 13cm

height of prism (h) = 5 cm

diameter of circle(d) = 6 cm

To find:

Volume of prism =?

Solution:

Formula that would be used,

[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]

[tex] \sf volume \: of \: cylinder = \pi {r}^{2} h[/tex]

Let's calculate the overall volume of prism,

Volume of prism(including volume of hole) V = a²h

[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]

To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.

[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]

now calculate the volume of circular hole inside the prism,

Volume of circular hole(cylindrical shape) v= πr²h

[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]

The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)

[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]

Answer - Volume of prism is 703.7 cm³

[tex] \small \sf Thanks \: for \: joining \: brainly \: community![/tex]

Answer:

I think you just have to multiply 0.75 and 1.8 then divided with 1.62.

Step-by-step explanation:

0.75*1.8=a

1.62/a= answer?

Answer:

the answer in 1.2 i just took the unit test on K12

Answer:x = ± 2

Step-by-step explanation:3x² = 12

x² = 12/3

x² = 4

x = √4

x = ± 2

Answer: x = ± 2 hopes that helps you out bud

Answer

x = 2 or x = -2

Brainliest?

Answer:

27

Step-by-step explanation:

she needs 24 logs to keep the fire for 16 hours(4×6). And for next 2 hours she's gonna need 3. altogether it's 27.

Answer:

50.6

Step-by-step explanation:

Answer:

€7200

Step-by-step explanation:

20%---------1440

100%----------y

y= 100×1440/20

y= 144000/20

y= €7200

price before decrease= €7200

Answer:

Step-by-step explanation:

The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We can use the altitude rule:

8/n = n/4

n² = 32

n = √32

Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

Answer:

y = 3/2x + 6

Step-by-step explanation:

Equation of the given line

Perpendicular

Using Point-slope equation

1) ABCD is a parallelogram, [tex]\overline{AC} \cong \overline{BD}[/tex] (given)

2) [tex]\overline{AD} \cong \overline{BC}[/tex] (if the quadrilateral is a parallelogram, both pairs of opposite sides are congruent)

3) [tex]\overline{AB} \cong \overline{AB}[/tex] (reflexive property of congruence)

4) [tex]\triangle ABC \cong \triangle BAD[/tex] (SSS Triangle Congruence Theorem)

5) [tex]\angle DAB \cong \angle CBA[/tex] (CPCTC)

6) [tex]\angle DAB[/tex] and [tex]\angle CBA[/tex] are supplementary (consecutive angles in a parallelogram are supplementary)

7) [tex]m\angle DAB=90^{\circ}, m\angle CBA=90^{\circ}[/tex] (congruent supplementary angles are right angles)

8) [tex]ABCD[/tex] is a rectangle (definition of rectangle)

All the missing statements with the respective reasons are given below.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Statement 1.

ABCD is a parallelogram,

AC ≅ BD

Reason: Given.

Statement 2.

AD ≅ BC

Reason: if the quadrilateral is a parallelogram, both pairs of opposite sides are congruent.

Statement 3.  AB ≅ AB

Reason: reflexive property of congruence.

Statement 4. ΔABC ≅ ΔBAD.

Reason: SSS Triangle Congruence Theorem

Statement 5. ∠DAB ≅ ∠CBA

Reason: CPCTC

Statement 6. ∠DAB and ∠CBA are supplementary

Reason: consecutive angles in a parallelogram are supplementary.

Statement 7.  m∠DAB = 90° and m∠CBA = 90°

Reason: congruent supplementary angles are right angles.

Statement 8. ABCD is a rectangle.

Reason: definition of a rectangle.

Therefore, all the required points are given above.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ5

Answer: 9.3  

I calculated the area of the square, then I calculated the area of the circle.  Then I subtracted the two.

Answer:

5.3

Step-by-step explanation:

A square has equal sides

LXW=A

5x5= 25

diameter of the circle is 5 ft

D/2=R 5/2= 2.5

Area of a circle is [tex]\pi r^2[/tex]  (Pi=3.14)

[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25=  19.625.

Area of yellow region

Area of square - Area of circle.

25-19.625 = 5.375 rounded to nearest 10th is 5.3

The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.

Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,

ax²+bx+c=0

For the above equation, the quadratic formula can be given as,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The equation of variable x is given as,

h(x) = 7x²-45x + 12,

The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.

18 = 7x²-45x + 12

0= 7x²-45x + 12-18

0=7x²-45x -6

Find the roots of the equation using the quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]

Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.

Learn more about the quadratic formula here;

https://brainly.com/question/1214333

#SPJ1

Answer:

If you're asking for an equation to use for this problem you can use: 100+5x,

x is the number of weeks.

Step-by-step explanation:

You are starting with $100, and gain 5 dollars every week, so 100+5(#ofweeks)= total amount of money.

Answer:

square root of 64 minus yz square