Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E

Answer: Willis will take 3 hours to paint the room by himself.

Step-by-step explanation:

Given: Time taken by James to complete job by himself = 6 hours

Let Time taken by Willis to complete job by himself = t hours

Together they take 2 hours.

[tex]\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3[/tex]

So,  Willis will take 3 hours to paint the room by himself.

The stem-and-leaf plot for the distribution is given as follows:

b) From the plot, the correct options are given as follows:

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

For this problem, the observations are given at the top in red, and using each first digit as the key, the stem and leaf plot is:

The mean of these observations is:

(19 + 2 x 22 + 23 + 25 + 2 x 27 + 2 x 28 + 30 + 2 x 31 + 32 + 2 x 33 + 34 + 3 x 35 + 37 + 38 + 39 + 2 x 40 + 41 + 43)/26 = 32(approximately)

The correct statements from the plot are as follows:

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Answer:

3x + 2 = 3x - 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

y = x + 8

x = 2 ==> y = 10

x = 0 ==> y = 8

x = 4 ==> y = 12

Follow my account^^

Answer:

15.9

Step-by-step explanation:

just because it is the bigger side of the triangle

Answer:

24 h /day

y=24x

if x = days y= the amount of hours

Step-by-step explanation:

Answer:

C.

m<Angle1+m<angle2 will add to 180 since the sum of supplementary angles are equal to 180°.

Step-by-step explanation:

Answer:

C. mAngle1 + mAngle2 = 180.

Explanation: This is the correct answer on Edge 2021, just took the Unit test and made a 100%. Hope this helps ^-^.

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

Answer:

show that the points A(7,10),B(11,2)and c(-5,-6) are the points on circumference of a circle having centre P(1,2) by finding the distance AP,BP and CP

There are 10 elements in the union of A and B.

What is the union of A and B?

So, set A has 8 elements and set B has 5 elements.

Therefore, there are 10 elements in the union of A and B.

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Answer:

Step-by-step explanation:

The magnitude of the complex number is expressed as;

|z| = √x²+y²

Given the complex number z = 4i+3j, x = 4 and y = 3

Substitute

|z| = √x²+y²

|z| = √3²+4²

|z| = √9+16

|z| = √25

|z| =5

Hence the magnitude is 5

Answer:

i don't understand the question

Answer:

Step-by-step explanation:

(2x+5) x=-5/2

(x+1) x=-1

(x-3) x=3

Answer:

-1/2 Brainliest me please

Step-by-step explanation:

1/4+1/4= 0.5

-2 + 1 = -1

0.5+(-1) = -0.5

-0.5 as a fraction Is -1/2

Answer:

the question is wrong may be.

Answer:

1

Step-by-step explanation:

A system of equation is a set of a number of equation used for finding their solution. The solution of the given system of equations is (2,-22). The correct answer is option 1.

A system of linear equation can be defined as a number of equations needed to find the solution. On the basis of the number of solutions a set of equations can be called either consistent or inconsistent.

The given equations are

y = -6x -10 and y = -1/2x -21

They can be rewritten as,

y + 6x = -10 ------------------- (1)

2y + x = -42 ------------------- (2)

To get the value of x ,

(2y + x) - 2(y + 6x) = -42 - 2×(-10)

=> -11x = -22

=> x = 2

Substitute x = 8 in equation (1) to get y,

y = -10 - 12

y = -22

Hence, the solution for the given system of equation is (2,-22).

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Answer:

Step-by-step explanation:

ne spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?

First, identify what the question is asking for.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a b

Answer:

When the angle becomes zero, then the base becomes 0, and the perpendicular and the hypotenuse becomes the same line. Since in cos 90, base is 0, therefore therefore cos 90 is zero

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

2(x - 1/2) = 3(5 - 2x) (distribute 2 and 3)

2x - 1 = 15 - 6x (add 6x on both sides)

8x - 1 = 15 (add 1 on both sides)

8x = 16 (divide both sides by 8)

x = 2

CHECK

2(2 - 1/2) = 3(5 - 2(2)) (solve what's in parenthesis)

2(1.5) = 3(1) (distribute)

3 = 3

Hope this helps ya!

Answer:

What are you asking?

Step-by-step explanation:

Answer:

a = 9r²

Step-by-step explanation:

Given

r = [tex]\frac{\sqrt{a} }{3}[/tex] ( multiply both sides by 3 to clear the fraction

3r = [tex]\sqrt{a}[/tex] ( square both sides )

(3r)² = ([tex]\sqrt{a}[/tex] )²

9r² = a

Answer:

Step-by-step explanation:

4(x + y) - 6 = -8

4x + 4y - 6 = -8

            + 6 = +6

   4x + 4y     = -2    

Answer: 80

Step-by-step explanation:

because if you took off a 70 or 71 it would go above 86 if you took of 85 it would be below 86 so it has to be 80

Answer:

ok

Step-by-step explanation:

The equation that could be used to determine x is ([tex]x^{2}[/tex] + 8x - 308).

As per the question, the small integer is x. So, the large integer will be (x + 8).

Also, the question mentions that their product is 308. Representing the given information in mathematical equation form -

x (x + 8) = 308

Performing multiplication on Left Hand Side of the equation

x² + 8x = 308

Shifting 308 from Right Hand Side to the Left Hand Side of the equation. the equation that will form is -

x² + 8x – 308 = 0

On solving this quadratic equation, we will get the negative numbers, which will validate our formed equation.  

x² + 8x – 308 = 0

x² + 22x - 14x – 308 = 0

x (x + 22) - 14 (x + 22) = 0

(x + 22) (x - 14) = 0

x = -22 and 14

Since the numbers are negative, hence, value of small number is -22.

Large number = -22 + 8

Large number = -14

Thus, the small and large number is -22 and -14.

Therefore, the correct equation is x² + 8x – 308 = 0.

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The complete question is -

Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x² + 8x – 308 = 0 x²  – 8x + 308 = 0 x²  + 8x + 308 = 0 x²  − 8x − 308 = 0

Answer:

g4

Step-by-step explanation:

m

Answer:

b and d I think are both right but if you can only pick one go with B

The measure that could be the side lengths of a right triangle is 30 cm, 72 cm, 78 cm, the correct option is B.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

The right triangle

Now,

We can use this equation to test each option by plugging in the values and checking if they satisfy the equation.

A. 7 cm, 21 cm, 25 cm

7^2 + 21^2 = 25^2

49 + 441 = 625

490 = 625

False

This option does not satisfy the Pythagorean theorem, so it cannot be the side lengths of a right triangle.

B. 30 cm, 72 cm, 78 cm

30^2 + 72^2 = 78^2

900 + 5184 = 6084

6084 = 6084

True

Therefore, by right angle triangle the answer will be 30 cm, 72 cm, 78 cm.

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Answer:

not sure what your question is but if youre trying to solve for the system of equations your awnser is (5,3/2)

Answer:

x= 5, y= 3/2

Step-by-step explanation:

5x -4y =19 (Equation 1)

x+ 2y=18 (Equation 2)

Using substitution method,

From equation(2),make x the subject of formula

x= 8-2y (Equation 3)

Substitute equation 3 into equation 1

5x -4y= 19

5(8-2y) -4y = 19

40 -10y -4y = 19

40-14y=19

Collect like terms

40-19=14y

21=14y

y= 21/14 = 3/2

Substitute for y in equation 3

x= 8 -2y

   8- 2(3/2)

  =8 -3

x = 5

Answer: B.) d = 100

You add 100 to 21, you get 121.

You add 100 to 121, you get 221.

You add 100 to 221, you get 321.

And so on-

Hope dis helps :)