What is the slope given the two points?
(-3,12) & (4,5)

The required measure of the angle m∠H is given as 94°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12

Now,
m∠H = 8x - 2
        = 8 (12) - 2
        = 94°

Thus, the required measure of the angle m∠H is given as 94°.

Learn more about Angles here:
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Answer:

no i can't do all of it, but i can help you do it

i just won't do it for you

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

Answer:

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

multiply both sides by 8

do over and write g=8x5

solve 8x5=40

g=40

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

Answer:

0.58823529411

Answer:0.8

Step-by-step explanation:

Answer:

[tex]\sqrt{68}[/tex]

Step-by-step explanation:

(7 , -1) = (x1 , y1)

(9 , -9) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]

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

=[tex]\sqrt{4 + (-8)^2}[/tex]

=[tex]\sqrt{4 + 64}[/tex]

=[tex]\sqrt{68}[/tex]

Answer:

[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]

               [tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]

Answer:

Explanation:

Hey there!

Here;

f(X) = x²

and g(X) = X+1

To find: gof (2) and fog (2)

For gof (2),

gof = g{f(X)}

= g (x²)

= x²+1

Then;

gof(2) = 2²+1

= 4+1

= 5

Therefore, gof (2) is 5.

For fog(2),

fog (X) = f{g(X)}

= f(X+1)

= (x+1)²

= x²+2x+1

= x²+2x +1

Then;

fog(2) = 2²+2*2+1

= 4+4+1

= 9

Therefore, fog(2) = 9.

Hope it helps!

Answer:

The answer is 32

Step-by-step explanation:

A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.

Answer: 32

Step-by-step explanation:

Subtract the angle 58 and 90 since it is a right angle

===========================================================

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Answer:

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Formula for finding nth term of an arithemetic sequence is:

tn = t1 + (n-1) d

Where t1 is the first term, n is the specific term, and d is the common difference.

Plug numbers into the formula and solve:

t8 = 5 + (8-1)6

t8 = 47

Answer:

whats the question

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]

By vertical angles:

[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]

Hence, by substitution:

[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]

Then by Angle-Angle Similarity:

[tex]\Delta ABC \sim \Delta GEF[/tex]

Answer:

Step-by-step explanation:

r =  3 km

Ф = 90°

Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]

                           [tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]

                           = 7.065 sq.km

Answer:

Solution given:

r=3km

area of sector bounded by a 90° arc=90°/360°*πr²

=¼*π*3²

=9/4 π or 7.068km²

is a required answer

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

Answer:

Step-by-step explanation:

P(red gum ball)= 6/14=3/7

6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.

P(red gum ball)=3/7

Answer:

1)BX = 20

2)MT = 23.3

3)QD = 14.4

4)SN = 23.5

5)XZ = 36

6)DF = 24

7)BD = 43.8

8)HZ = 12

9)UW = 40

10)CS = 11.6

Step-by-step explanation:

1) BX = 1/2(VX) = 40/2 = 20

2)MT = 1/2(RT) = 46.6/2 = 23.3

3) QD = BQ = 14.4

4)LS + SN = 23.5

5)XH = 1/2(XZ) = 18 * 2 = 36

6)DG = 1/2(DF) = 12 * 2 = 24

7)BJ = 1/2(BD) = 21.9 * 2 = 43.8

8)XH = HZ = 12

9)UW = 2(UJ) = 20 * 2 = 40

10) CS = 1/2(US) = 23.2/2 = 11.6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

I think it's a

I'm not that sure tho

Answer:

x = 72.09555249

Step-by-step explanation:

Since this is a right angle, we can use trig functions

tan x = opp / adj

tan x = 65/21

Taking the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 ( 65/21)

x = 72.09555249

Answer:

$900.9

Step-by-step explanation:

Find the final price of a $849.99

laptop with 6% sales tax.

Given data

Price= $849.99

Tax = 6%

Let us find the amount of the tax

=6/100*849.99

=0.06*849.99

=$50.9994

Now the final price is

=50.9994+849.99

=$900.9

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

Answer:

[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

[tex]h=2x[/tex]

The volume of a cuboid is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get

[tex]2000=x\times x\times 2x[/tex]

[tex]2000=2x^3[/tex]

Divide both sides by 2.

[tex]1000=x^3[/tex]

Taking cube root on both sides.

[tex]\sqrt[3]{1000}=x[/tex]

[tex]10=x[/tex]

Now, the height of the container is:

[tex]h=2x[/tex]

[tex]h=2(10)[/tex]

[tex]h=20[/tex]

Therefore, the height of the container is 20 cm.

Answer:

Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.

Step-by-step explanation:

Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:

3^7 = X

2,187 = X

(3^5) x 5000 = X

243 x 5000 = X

1,215,000 = X

Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.

Answer:

Try 750 ft?

Step-by-step explanation:

Proportion:

800/500 = 1,200/x

Solve:

1,200 / 800 = 1.5

1.5 * 500 = 750

Hope this helped!

Please mark as brainliest!

Answer:

A. 52

Step-by-step explanation:

Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.

There are 12 months in a year, so multiply 12 by 4:

12(4)

= 48

So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.

Add this to the 4 teacups she got on her 13th birthday:

48 + 4

= 52

So, on her 17th birthday, she will have A. 52 teacups