A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that mangle ADC is a right angle and that mangle BDC is 31° greater than mangle ADB. Solve an equation to find mangle BDC and mangle ADB.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let <ADB be x. From the rectangle, <ADB+<BDC = <ADC

<ADB+<BDC = 90° ..... 1

If angle BDC is 31° greater than mangle ADB, then <BDC = x+31

Substituting the given values into the equation 1:

x+x+31 = 90

2x + 31 = 90

2x = 90-31

2x = 59

x = 59/2

x = 29.5°

To get <BDC, we will substitute x = 29.5° into the expression <BDC = x+31

<BDC = 29.5+31

<BDC = 60.5°

Hence <ADB = 29.5° and <BDC = 60.5°


Related Questions

A soccer player kicks a ball 6.5 meters. How much time is needed for the ball to travel this distance if its velocity is 22 meters per second, south?

Answers

Answer:

0.3 meters per second

Step-by-step explanation:

Divide 6.5 by 22.

what is 2x2x3+1-5?
thanks for helping

Answers

Answer:

8

Step-by-step explanation:

2x2=4

4x3=12

12+1=13

13-5=8

Answer:

8

Step-by-step explanation:

2x2x3+1-5

4×3+1-5

12+1-5

13-5

8

On Monday, your bank account balance was -$12.95. Because you didn't realize this, you wrote a check for
$30.93 for groceries.
What is the new balance in your checking account?

Answers

Answer:

Your new balance in your checking account would be -$43.88.

Step-by-step explanation:

You can solve this by starting with -$12.95 and subtracting $30.93. You do this because you wrote a check for $30.93 and you didn't have the money, so  your balance in your banking account would still be in the negatives.

Answer:

$-43.88

Step-by-step explanation:

You start with a balance of:

[tex]-12.95[/tex]

You then wrote a check, meaning money has been spent, so we will have to subtract the check total from your bank account balance:

[tex]-12.95-30.93[/tex]

Solve:

[tex]-43.88[/tex]

PLEASE HELP!!! I'LL GIVE BRAINLIEST!!!!
For this function, f(x) = -2 |3x+5| -2, find each of the following:

a. f(-1)

b. f(0)

c. f(3)

Answers

Step-by-step explanation:

a's answer is -6

b's answer is -12

c's answer is -30

Sarita showed the steps to solving the equation.

5 (x minus 3) + 7 (x + 4) = 73
Steps
Sarita’s Solution
Sarita’s Verification
1
5 x minus 15 + 7 x + 28 = 73
5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73.
2
(5 + 7) x + (negative 15 + 28) = 73
3
12 x + 13 = 73
4
12 x + 60
5
x = 5

When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake?

Answers

Answer:

Sarita’s solution is correct. She made an error in her verification.

Step-by-step explanation:

answer on edgenuity

Answer:

Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.

Step-by-step explanation:

Brainlest ?

1. Analyze the sequence below.
ΟΛΟ

Answers

Answer:

what sequence

Step-by-step explanation:

PLEASE HELP which choose is equivalent to the expression sqroot-121

Answers

Answer:

D. 11 is the correct answer.

What is the distance between the points A(-5, 3) and B(4, -1)? *

Answers

Answer:

[tex]\sqrt{97}[/tex] units

Step-by-step explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = A(- 5, 3) and (x₂, y₂ ) = B(4, - 1)

d= [tex]\sqrt{(4+5)^2+(-1-3)^2}[/tex]

  = [tex]\sqrt{9^2+(-4)^2}[/tex]

   = [tex]\sqrt{81+16}[/tex]

    = [tex]\sqrt{97}[/tex] ≈ 9.85 ( to 2 dec. places )

This graph shows the temperature
in Diego's house between noon and
midnight one day.
Mark each statement to the right as
True or False. Explain or show how
you determine your answer.

Answers

Answer:

The answer is False, False, False, False, true. The only one that is correct is the last one which is: There was a four-hour period during which the temperature did not change? True.  SO ONLY E.

Step-by-step explanation:

The graph shows that at the 4 hour period the temperature is steady so it is not changing.

So far, Diane has burned 362.6 calories. She wants to burn a total of 400 calories. How many more calories must Diane burn?

Answers

Answer:

37.4

Step-by-step explanation:

This is because 400-362.6 is 37.4, because we want to find out how many more calories she must still burn

- 5x-10=2-(x+4)
[tex]- 5x-10=2-(x+4)[/tex]


Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer = x=-2

Nina plays catcher on her softball team. She wants to design a better mitt to catch the ball. She is just beginning the design process. Which step should she do first?

Choose the correct answer.


build a prototype

test her prototype

tell her team what she learns

make conclusions about solutions

Answers

D. She should make conclusions about solutions because you have to identify the problem and find your answers (step 1 of of design process) and you couldn’t do the others without it

Write an equation, and solve

An electrician has a 20-ft wire. He needs to cut the wire so that one piece is 4 ft shorter than the other. What will be the length of each piece?​

Answers

Answer:

12, 8

Step-by-step explanation:

So we have the following things we need to check for:

1. Both wires add up to 20 ft.

2. One wire is 4 ft longer than the other.

In order to do this we can create the following two equations (I'll call the wires a and b)

[tex]a + b = 20\\a = b - 4[/tex]

Next we substitute equation two into equation one and solve for b.

[tex]a + b = 20\\ (b - 4) + b = 20\\ 2b - 4 = 20\\2b - 4 + 4 = 20 + 4\\2b = 24[/tex]

[tex]\frac{2b}{2} = \frac{24}{2}\\b = 12[/tex]

And lastly we solve equation 2 using the new value of b.

[tex]a = b - 4 = 12 - 4 = 8[/tex]

So the wires are 12 and 8 feet.

Find the vertex of the function given below


[tex]y = {x}^{2} - 6x + 1[/tex]

Answers

Answer:

3,-10...........................

Answer:

vertex = (3, - 8 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 6x + 1 ← is in standard form

with a = 1 and b = - 6 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-6}{2}[/tex] = 3

Substitute x = 3 into the function for y

y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8

vertex = (3, - 8 )

which choice is equivalent to sqroot-125 PLEASE HELP

Answers

Answer:

C. [tex] 5i \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{ - 125} \\ \\ = \sqrt{ - 1 \times 125} \\ \\ = \sqrt{ - 1} \times \sqrt{125} \\ \\ = i \times 5 \sqrt{5} \\ \\ \huge \red{ \boxed{= 5i \sqrt{5} }}[/tex]

the answer is c!!!! :)))

what is the slope of the line?​

Answers

Answer:

1/2    

Step-by-step explanation:

Hope this helps:)

Answer:

1/2 simplified

Step-by-step explanation:

You do rise over run. That means you count up from the (-2, -1) point then get level with the other point (2, 1) And that should give a right triangle. Then count how many boxes are going up put that number on top. Then count how many boxes are going across and that number goes on bottom. You then get 2/4, but I simplified it to 1/2.

Also you can do...

[tex]\frac{y2 - y1}{x2 - x1}[/tex] plug in

[tex]\frac{1 + 1}{2 + 2}[/tex] = [tex]\frac{2}{4}[/tex]

The reason I added because it was 1 - - 1 or one minus negative 1 so two negatives make a positive same thing with the bottom it was 2 - - 2.

Did this help!! I don't just want to give you the answer I want you to understand it too!!

During a cat food sale, a pet store sells 220 cans of cat food. At the end of the
sale, the store has 80% of the original number of cans of cat food. How many
cans of cat food are left?

Answers

Answer:

44 cans

Step-by-step explanation:

To find 80%, just multiply 220 by 0.8

220 x 0.8 = 176.

Now, take 220 and subtract 176.

220-176 = 44

44 cans are left over. Hope this helps.

The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.

Answers

Answer:361.28

Step-by-step explanation:

This problem is all about just plugging in the numbers.

(I will be using the letters Pi to represent the actual number)

(Pi+(5*2))+(Pi*5*25)

10Pi+105Pi

115Pi

(Around) 361.28

Hi I need help with 4 problems you don't have to answer all of them just the ones you think you might know and I need to know how to do it. The questions are below:)
1. -3x + 10
2. 4x +8
3. -1 - 4x
4. 7 -5x

Answers

Answer:

1.    -30x     2. 12x    3.   x         4.  2x

Step-by-step explanation:

i believe the way your learning is that you have to add or subtract both numbers and then add the letter next to the answer.  number 3 is just x because -1- 4x = 0 and just add the x.

The volleyball team at a certain high school raised $350 to buy a new net, and some volleyballs. The net costs $180, and each ball costs $17.00. The team does not want to exceed the amount of money they raised.

Answers

I don’t know what you’re question is. You can buy 1 net and 10 volleyballs.

Answer:

this is a principal application not I m buying

What value of x makes this equation true?
2x − 9 −2 = 3x + 3 + 6x


A. 3

B. -9

C. −1

D. −2

Answers

Answer: x=-2, or d

Step-by-step explanation: brainlest please

Mary wants to build a fence to make taking her
dog out easier. Mary knows she wants side A to
be to be 20 feet long and side B to be 45 ft. How
many feet of fencing does she need?

Answers

She needs 130 ft of fencing

find the principal when the amount is Rs.3600 and interest is Rs.200

Answers

Step-by-step explanation:

Hey there!

Amount = Rs. 3600

Interest = Rs. 200

Principle = Amount - interest

= 3600 - 200

= 3400

Therefore, the principle is Rs. 3400.

Hope it helps..

Answer:

P=3400

Step-by-step explanation:

SI=A-P

200=3600-P

P=3400

which angle number is adjacent to angle to DHG

Answers

Answer:

Angle 8

Step-by-step explanation:

The answer is angle 8 because the meaning of adjacent is right next to each other, so angle 8 and angle 7 are relight next to each other. Angle 8 is your answer.

Find the Y solution to the system.

5x + 4y = -7
-5x - 2y = 1

Answers

Answer:

x=1 y=

-3

Step-by-step explanation:

;#;#;#jsjjsjsndn

Answer:

Step-by-step explanation:

Simplifying                                                Simplifying

                                                                      5x + 4y = -7

-5x + -2y = 1

Simplifying

                                                                  Simplifying   x = -0.2 + -0.4y

x = -1.4 + -0.8y

(5.9 x 10^6) and (3.2 x 10^4) find the product

Answers

Answer:

1888 × [tex]10^{8}[/tex]

or

188.8 × [tex]10^{9}[/tex]

or

18.88 × [tex]10^{10}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way:

[tex](5.9[/tex] × [tex]10^{6} )[/tex] × [tex](3.2[/tex] × [tex]10^{4} )[/tex]

First, let's move [tex]10^{6}[/tex] and switch it's places with 3.2:

(5.9 × 3.2) × ([tex]10^{6}[/tex] × [tex]10^{4}[/tex])

Then, let's simplify:

18.88 × [tex]10^{10}[/tex]

Finally, Celebrate! WooHoo! You just learned how to do this!

Pls Brainliest! It would mean and help a lot! ;)

Thanks! Have a nice day! Please Thanks this, Vote 5, and Go to my Profile and Thanks me!

Monica works 5 times more than Joe does. Joe works 10 hours a week. How much does Monica work?

Answers

Answer:

50 hours a week

Step-by-step explanation:

10 times 5

Answer:

50

Step-by-step explanation:

In the diagram, m angle3=120^ and m angle12=80^. Which angle measures are correct? Check all that apply. m angle1=60^ m angle13=80^ m angle6=80^ m angle5=60^ m angle10=120^ ° m angle 14=100^​

Answers

Answer:

There you go, this was actually fun to do!!

Step-by-step explanation:

Answer:

M<1=60

M<13=80

M<5=60

M<14=100

Step-by-step explanation:

Did the assignment

The gravity on the surface of the moon is 0.17 of the surface gravity on Earth. If Jack weighs 156 pounds on Earth, what would be his weight on the moon? (Will give brainliest)

Answers

Answer:

Jack will weigh 26.52 pounds

Step-by-step explanation:

x = 156 (Your weight on Earth)

y = 0.17 (Surface Gravity)

z = Your weight on the moon

x * y = z

156 * 0.17 = 26.52

Jack will weigh 26.52 pounds.

If Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

What is gravitational force?

All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.

It is given that,

Gravity on the surface of the moon =  0.17

Weighs of Jack on Earth = 156 pounds

Mass of Jack,

W=mg

156 pounds = m × 9.81     [ g on earth = 9.81 m/s²]

m = 15.902 kg

The weight of Jack on the moon is,

W=  15.902 kg × 0.17

W=2.565 N

Thus, if Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

Learn more about the gravitational force here:

brainly.com/question/12528243

#SPJ5

A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month NEEDS WORK please help i'm in the middle of a quiz nd i'm so gonna fail

Answers

Given :

A one-year membership to a gym costs $725.

The registration fee is $125.

To Find :

How much new members pay each month.

Solution :

Remaining fee = Total fee - Registration fee

R = $( 725 - 125 )

R = $600

Amount of fee paid monthly is :

[tex]C=\dfrac{R}{12}\\\\C = \dfrac{600}{12}\\\\C = \$50[/tex]

Therefore, monthly fee is $50.

Hence, this is the required solution.

Other Questions
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