What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.

Answer:

67

Step - Step - Explanation

Answer:

I hope it will help you.......

Answer:

y = csc (x) + 2

Step-by-step explanation:

From the graph, we can derive the parent function y = csc(x). Notice how there are asymptotes at x = 2πk and x = π + 2πk, which is where csc(x) is undefined.

Finally, we can see a vertical shift of 2 which we can see from the mid-line of the graph which is at y = 3.

Answer:

c

Step-by-step explanation:

edg 2021

Answer:

D

Step-by-step explanation:

Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote

Answer:

w = 77°

Step-by-step explanation:

From the picture attached,

WXYZ is a quadrilateral having 4 interior angles,

m∠y = 90°

Therefore, (2x - 10) = 90°

2x = 90 + 10

2x = 100

x = 50

Now, m∠z = (x + 15)° = 65°

m∠x = (3x - 22)° = 150 - 22

                          = 128°

Sum of interior angles of a polygon = (n - 2)×180°

where n = Number of sides of the polygon

If n = 4,

m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°

w + 128 + 90 + 65 = 360

w = 360 - 283

w = 77°

Therefore, measure of w = 77°

Answer:

proof

Step-by-step explanation:

Statements

Reasons

<2 is congruent to <5; Segment AB is congruent to Segment DE

Given

<3≅<4

Vertical angle theorem

ΔCDB≅ΔCAE

AAS

Segment BC is congruent to Segment EC

CPCTC

The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.

Given :

The following steps can be used in order to prove that segment BC is congruent to segment EC:

Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.

Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.

Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.

Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.

For more information, refer to the link given below:

https://brainly.com/question/25813512

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]

Answer:

Step-by-step explanation:

1) We would determine the cube root of 27 and find its square.

Cube root of 27 = 3

3² = 9

Solution = 9

2) 36³ = 46656

√36³ = √46656 = 216

3) we would find the 5th roof of - 243 and find its cube

5th root of - 243 = - 3

- 3³ = - 27

Solution = - 27

4) Looking at the expression, 40⅔, we can see that

a = 2

b = 3

c = 40

Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40

Step-by-step explanation:

Answer:

p = 5.50b

Step-by-step explanation:

2 beach balls cost 11

4 beach balls cost 22

6 beach balls cost 33

So each (1) ball b costs 5.50 ($) p

Answer:

$280 dollars

Step-by-step explanation:

When they were leaving

[tex]\$1 \approx \frac{7}{10}$ Euro\\Therefore:\\\$1000 \approx \dfrac{7}{10}\times 1000 =700$ Euro[/tex]

When they returned home, they brought 196 Euros.

[tex]If\:\:\$1 \approx \frac{7}{10}$ Euro\\Then: 1 Euro $=\$ \dfrac{10}{7}\\\\$Therefore:\\\\196 Euros = \$ 196 \times \dfrac{10}{7} =\$280[/tex]

They brought back $280 dollars to the United States.

Answer:

They brought back 280 dollars.

Step-by-step explanation:

From the question, one United States dollar was worth about $\frac{7}{10}$ of a euro implies that:

$1 = 7/10 euro, or 0.70 euro. That is, the exchange rate is $1:0.70 euro.

The equivalence of the exchange $1:0.70 euro can also be obtained by dividing both sides by 0.70 as follows:

$1 / 0.7 = 0.7 / 0.7 => $1.43:1 euro. That is, $1.43 is equal to one euro.

Since they returned with 196 euros and $1.43 is equal to one euro, we will simply multiply 196 euros by $1.43 to obtain the amount of dollars they brought back as follows:

Amount of dollars they brought back = $1.43 * 196 = $280 to the nearest dollar.

Therefore, they brought back 280 dollars.

Answer:

x=23/3

Step-by-step explanation:

x=c+ay

7=c+3a     | *(-1)

9=c+6a

-7=-c-3a

9=c+6a

------------

9-7=c-c+6a-3a

2=3a

a=2/3

7=c+3*2/3

7=c+2

-2   -2

5=c

so   x=5+2/3*y

when y=4 then  x=5+2/3*4=5+8/3

x=15/3+8/3

x=23/3

Answer:

{3/2, 4}

Step-by-step explanation:

Set x - 4 = 0 and solve for x:  x = 4 is a solution.

Seet 2x - 3 = 0 and solve for x:  3/2 is another solution.

Answer:

[tex]10i[/tex]

Step-by-step explanation:

√(-100)

Use the imaginary number rule  [tex]i=\sqrt{-1}[/tex]

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

Answer:

32 years old

Step-by-step explanation:

Please see attached picture for full solution.

Let Sunil's present age be 4x and his wife's present age be 3x.

Answer: 5/55

Step-by-step explanation:

1/11 x 5 = 5/55

So, the fifth equivalent fraction to 1/11 is 5/55.

The 5th equivalent fraction should be [tex]5\div 55[/tex]

Since the fraction is [tex]1\div 11[/tex]

So here the 5th equivalent should be

[tex]= 1\div 11 \times 5\div 5[/tex]

= [tex]5\div 55[/tex]

Here 5 represent the numerator and 55 represent the denominator.

Therefore, we can concluded that The 5th equivalent fraction should be [tex]5\div 55[/tex]

Learn more about fraction here: https://brainly.com/question/1786648

Answer:

The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.

Answer:

Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table

Answer:  a) 110√2 meters

                b) 2.42 hectares

Step-by-step explanation:

a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse.  Therefore, the sides are length x and the diagonal is length x√2.

[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]

b) Area of a square is side squared.    10,000 meters² = 1 hectare

   [tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]

Answer:

1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]

2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]

3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex],  the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]

4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex],  the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]

5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex],  the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]

6) For[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]

Step-by-step explanation:

This can be done using the completing the square method.

The standard equation of a circle is given by [tex](x - a)^2 + (y-b)^2 = r^2[/tex]

1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex]

[tex]x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\[/tex]

Therefore, for [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]

2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex]

[tex]x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\[/tex]

Therefore, for [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]

3)  For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex]

Divide through by 3

[tex]x^2 + y^2 + 4x + 6y = 5[/tex]

[tex]x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\[/tex]

Therefore, for [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex],  the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]

4)  For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex]

Divide through by 5

[tex]x^2 + y^2 - 2x + 4y = 6[/tex]

[tex]x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\[/tex]

Therefore, for [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex],  the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]

5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex]

Divide through by 2

[tex]x^2 + y^2 - 12x - 8y = 4[/tex]

[tex]x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\[/tex]

Therefore, for [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex],  the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]

6) For [tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex]

[tex]x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\[/tex]

Therefore, for[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]

For Plato / Edmentum

Just to the test and got it right ✅

Answer:

864

Step-by-step explanation:

512÷8=64

108÷8=13.5

64×13.5=864

Answer:

b) 864 squares

Step-by-step explanation:

A(rectangle) = 512cm x 108cm = 55296 cm²

A(square) = 8cm x 8cm = 64 cm²

Ar/As = 55296cm²/64cm² = 864 squares

Answer:

Step-by-step explanation:

Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;

Multiply both sides by 10

d/10 * 10 = 12*10

d = 120

It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality  was used to solve the equation.

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.

To find the area of the rectangle when b = 10, substitute 10 for b in the expression:

8b= 8(10)

    =80

Answer:

first and last options

Step-by-step explanation:

Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².

Answer:

1 and 4

Step-by-step explanation:

Answer:

11.67

Step-by-step explanation:

Data given in the question

∠ADC = 42°

∠BAC = 68°

Let us assume that AC be Y

Now

In ΔACD

tan 42° = AC ÷ CD = Y ÷ x ...............................(i)

In ΔACB  

tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)

Now take the value of Y from the equation (ii)

Y = 26 ÷ Tan 68° ...................... (iii)

Now place the value of Y in equation (i)

So,

Tan 42° = 26 ÷ tan 68° × X

X = 26 ÷  tan 68° × Tan 42° ......................(iv)

Now placing the values of tan 42° and tan 68° in equation (iv)

So,

X = 26 ÷ 0.900 × 2.475

= 11.67

The tan 42° = 0.900

And, the tan 68° = 2.475

Answer:

Step-by-step explanation:

The question is not correctly written, here is the correct question.

If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?

(koh)(x) can be rewritten as k{h(x)}

Since h(x) = 5+x then,  k{h(x)} = k(5+x)

Note that k(x) can be written as 5x°

k(5+x) = 5(5+x)°

Since any value raise to the power of zero is 1, then;

k(5+x) = 5(1)

k(5+x) = 5

(koh)(x) =  k{h(x)}  = 5

For (hok)x;

(hok)x = h{k(x)}

= h(5)

= h(5x°)

Since h(x) = 5+x

h(5x°) = 5+5x°

h(5x°)= 5+5 = 10

(hok)x = h(k(x)) = 10

Step-by-step explanation:

For one course:

6+8+5=

Two courses with appetizers and main meals (* means times)

6*8

Two courses with appetizers and dessert

6*5

Two courses with main meals and dessert

8*5

Answer:10

Step-by-step explanation:

8/80=1/10*100=10

Answer:

6) g = 11p

7) This equation is an example of direct variaction because it is proportional because can make a slanted line with the equation C = 6g + 15

Step-by-step explanation:

Well to find g we seperate g and combine like terms,

[tex]81 = 6g + 15[/tex]

So we subtract 15 from both sides 66 = 6g,

66/6 = 11.

So g = 11.

Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

Answer:

B. 880

Step-by-step explanation:

220% × 400

= 220/100 × 400

= 88000/100

= 880