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Answer:

146°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle.

[tex](5x )\degree = \frac{1}{2} [(25x + 21) \degree - 96 \degree] \\ \\ (5x )\degree \times 2= (25x + 21 - 96) \degree \\ \\ (10x )\degree = (25x + 21 - 96) \degree \\ \\ 10x = 25x - 75 \\ \\ 75 = 25x - 10x \\ \\ 75 = 15x \\ \\ x = \frac{75}{15} \\ \\ x = 5 \\ \\ m (\widehat{DB}) = (25x + 21) \degree \\ \\ m(\widehat{DB} )= (25 \times 5 + 21) \degree \\ \\ m(\widehat{DB} )= (125 + 21) \degree \\ \\ \huge \purple{ \boxed{m( \widehat{DB} )= 146 \degree}} \\ \\ [/tex]

Answer:

6 1/3 Is a mixed fraction

Answer:

Shyla will pay about 63 cents to cover the box

Step-by-step explanation:

Length of the box ( l ) = 7 inches

Width of the box (b) = 11 inches

Height of the box (h) = 8 inches

We can solve this equation by following two simple steps.

1. The first step is to find the total surface area of the box. This is the total area that the decorative fabric will be covering.

We can get this by the following formula:

SA=2( length X width) +2( length X height )+2(height X width)

SA = 2( 7 X 11 ) + 2(7 X 8) + 2 (8 X 11 ) = 442 square inches

2. The second step is to divide the total surface area by the price of the fabric per square inch.

This will be 442 square inches divided by 7 cents per square inch  = 63.14 cents

Shyla will pay about 63 cents to cover the box

Answer:

a=8

c=5.5

Step-by-step explanation:

solve simultaneously:

2a + 4c = 38.00

3a + 3c = 40.50

times the first eq. by 3 and the second by 2

6a + 12c = 114

6a +6c = 81

subtract from one another

6a + 12c = 114

-6a +6c = 81

6c = 33

c=5.5

3a + 3x5.5 = 40.50

3a= 24

a=8

Answer:

He should make the hypotenuse 5 in

Step-by-step explanation:

the pythagorean heoreom states that a^2+b^2=c^2. c is the hypotenuse. You already have a and b, 3 and 4. Plug it in

3^2+4^2=c^2

9+16=c^2

25=c^2

square root each side to isolate

c=5

Answer:

D

Step-by-step explanation:

The basic equation to solve this would be D = RT, which is

D is Distance

R is Rate (speed)

T is time

To find total distance D, we can find individual distances for two legs of the whole.

First Leg:

R = 8

T = a

D = 8a

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 * 3 * 2

42 = 3* 2 * 7

- 12 = - 2 * 2 * 3

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

Answer:

B) 116°

Step-by-step explanation:

y=180-54-64=62

x=180-62-64=54

62+54=116

Answer:

B 116

Step-by-step explanation:

#platolivesmatter

Answer:

it is false

Step-by-step explanation:

Answer:

The room has a width of three metres, and a length of seven metres.

Step-by-step explanation:

This is solvable using a system of equations.  First, we're told that its length is four metres more than its width:

l = w + 4

We're also told that it has a perimeter of 20, and know that the perimeter of a rectangle is equal to two times its length plus two times its length.  We can plug the given perimeter into that relationship, giving us:

20 = 2l + 2w

With that, we can simply substitute our first equation into it, replacing l, and then solve for w:

20 = 2l + 2w

20 = 2(w + 4) + 2w

20 = 2w + 8 + 2w

12 = 4w

w = 3

So the width is three metres.  We also know that the length is four metres more than that, telling us that it's seven metres.

We can check that my calculating the perimeter with those numbers and making sure it still matches 20

2 * 3 + 2 * 7

= 6 + 14

= 20

so the answer is good.

Answer:

20°, 60°, 100°

Step-by-step explanation:

Let x = measure of angle 1

3x = measure of angle 2

5x = measure of angle 3

Since the sum of the measures of the angles of a triangle is 180,

then x + 3x + 5x = 180

                  9x = 180

                     x = 20

3x = 3(20) = 60

5x = 5(20) = 100

Check:  20:60:100 = 1:3:5 and 20 + 60 + 100 = 180

Answer:

Step-by-step explanation:

In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.

The second number will be: 3 * 2 = 6

In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.

Second number = 5 * 2 = 10

Answer:

I need help with my math problem  

Step-by-step explanation:

https://brainly.co m/question/21437269

no space

Given:

A person on a moving sidewalk travels 24 feet the in 7 seconds.

The moving side walk has a length of 180 feet.

To find:

Time taken by the person to move from one end to the other.

Solution:

A person on a moving sidewalk travels 24feet the in 7 seconds.

The speed of the person is

[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]

[tex]\text{Speed}=\dfrac{24}{7}[/tex]

[tex]\text{Speed}=\dfrac{24}{7}[/tex]

The moving side walk has a length of 180 feet.

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

[tex]\text{Time}=\dfrac{180}{\dfrac{24}{7}}[/tex]

[tex]\text{Time}=\dfrac{180}{1}\times \dfrac{7}{24}[/tex]

[tex]\text{Time}=52.5[/tex]

Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.

Answer:

Step-by-step explanation:

Example: Solve this triangle

right angled triangle 5 12 c

Start with: a2 + b2 = c2

Put in what we know: 52 + 122 = c2

Calculate squares: 25 + 144 = c2

25+144=169: 169 = c2

Swap sides: c2 = 169

Square root of both sides: c = √169

Calculate: c = 13

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

6 units to the rights is towards the positive x axis

7 units down is towards the negative y axis

R' = (-2+6, 5-7)

R' = (4, -2)

Hence the coordinate point of R' on the plane is (4, -2)

Answer:

Step-by-step explanation:

easy y is 120

Answer:

1020 students

Step-by-step explanation:

We have the equation y = 0.1x + 18

If we have a school of 120 staff members, we can just set y = 120 and solve for the predicted total number of students, x.

120 = 0.1x +18

0.1x = 102

x = 1020 students

Answer:

first number is 4

second number is 0

Step-by-step explanation:

y = 1st number

x = 2nd number

system of equations:

5y + 4x = 20

4y + 2x = 16

I multiplied the second equation by -2 to eliminate the 'x-values'

-2(4y + 2x = 16)  =                 -8y - 4x = -32

now add to 1st equation:     5y + 4x = 20

                                              -3y = -12

y = 4

solve for 'x':

5(4) + 4x = 20

20 + 4x = 20

4x = 0

x = 0

Answer:

I Dont know the answer Sorryyyyyyyyyy

Answer:

Step-by-step explanation:

sevour

Answer:

it will 11 ( eleven ) hope it helps

Answer:

46.4%

Step-by-step explanation:

total maths=28

girls in maths = 13

13/28 x 100 = 46.4 %

Answer:

C. 8\14 can of soda

Step-by-step explanation:

Given the following data;

Number of soda = 8 cans

Number of people = 14 people

To find the number of soda each person gets;

[tex] Each \; person = \frac {number \; of \; soda}{number \; of \; people} [/tex]

[tex] Each \; person = \frac {8}{14} [/tex]

Therefore, the fraction of a can of soda each person would receive is 8\14 can of soda.

Answer:

707 feet above sea level

Step-by-step explanation:

2 hours and 25 minutes is about 2.4167 hours.

Therefore:

y=8.77x+686

y=8.77(2.4167)+686

y=21.1944+686

y=707.1944

So the hiker's elevation will be approximately 707 feet above sea level

The area of the rectangle is 216 square feet

Let x represents the length and y represents the width.

So, we have:

x = 6y

So, the perimeter is:

P = 2(x + y)

The perimeter is given as:

P = 84

So, we have:

2(x + y) = 84

Divide by 2

x + y = 42

Substitute x = 6y in x + y = 42

6y + y = 42

Evaluate the sum

7y = 42

Divide by 7

y = 6

Substitute y = 6 in x = 6y

x = 6 * 6

x = 36

The area is calculated as:

Area = xy

So, we have:

Area = 36 * 6

Evaluate

Area = 216

Hence, the area of the rectangle is 216 square feet

Read more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

x ≈ 55.9°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{29}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{24}{29}[/tex] ) ≈ 55.9° ( to 1 dec. place )