Use rectangle ABCDIf mzBAC = (4x + 5)º and m CAD = (5x - 14)°, find m2CAD.

Use Rectangle ABCDIf MzBAC = (4x + 5) And M CAD = (5x - 14), Find M2CAD.

Answers

Answer 1

Answer:

m CAD is 41°

Step-by-step explanation:

The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then

4x + 5 + 5x - 14 = 90

Rearrange the equation

4x + 5x + 5 - 14 = 90

9x - 9 = 90

Collect like terms

9x = 90 + 9

9x = 99

Divide both sides by 9

x = 99/9

= 11

Recall that  m CAD = (5x - 14)°

Substitute the value of x into the expression

Hence

m CAD = (5*11 - 14)°

= (55 - 14)°

= 41°


Related Questions

Answer the following questions

Answers

Answer:

1. 432

2. 30

3. 1875

4. 250

Step-by-step explanation:

The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship

Find the value of x and the value of y.

Select the two correct answers.

A y=56

B. x= 14

C. x=7

D. y=39

Ex= 9

F. y = 42

Answers

Answer: B. x= 14

D. y=39

Step-by-step explanation:

First and foremost, we need to calculate the constant of proportionality. This will be:

(8,12).

y = kx.

12 = 8k

k = 12/8

k = 1.5

(16, 24),

y = kx

24 = 16k

k = 24/16

k = 1.5

(x, 21),

y = kx

x = y/k

x = 21/1.5

x = 14

(26, y)

y = kx

y = 26 × 1.5

y = 39

Find the missing sides using special right triangles

Answers

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

Someone help me on this math problem please!!

Answers

Answer: Jasmine hikes at a rate 0.5 miles per hour faster than Deandre (the third option).

Step-by-step explanation: Deandre hikes at a rate of 2.5 miles per hour, since the slope in the equation is 2.5. For Jasmin, the slope on the graph is 3 (since it goes up 3, over 1), which means she hikes at a rate of 3 miles per hour. 3 is 0.5 greater than 2.5, so Jasmin hikes at a rate that is 0.5 miles per hour faster than Deandre.

**On the graph, the blue line is Jasmin and the red line is Deandre.

Help me! I need help finishing this before it’s due!

Answers

Answer:

I think F is the right answer

The quotient of s and 5

Answers

Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

Answer:

s/5

Step-by-step explanation:

its s/5 because the letter is always on top and yea..

x + y = 2
2x+ 7y = 9

Answers

Answer:

x=1 y=1

Step-by-step explanation:

(x + y = 2)×2

2x+ 7y = 9

2x + 2y = 4

2x+ 7y = 9

-5y =-5

y= 1

2x+7(1)=9

2x=2

x=1

Which of the following phrases best summarizes Chapter 13 bankruptcy? a. discharge debt and keep property b. discharge debt and liquidate assets c. reorganize debt and keep property d. reorganize debt and liquidate assets

Answers

Answer:

c on edge

Step-by-step explanation:

The option that best summarizes bankruptcy is; C: reorganize debt and keep property

What is bankruptcy?

Bankruptcy is simply defined as a legal proceeding involving a person or business that is unable to repay their outstanding debts.

Now, this question is taken from chapter 13 of the US Courts policy on filing bankruptcy. The chapter 13 of the Bankruptcy Code is one that provides for adjustment of debts of an individual with regular income and this allows a debtor to keep property and pay debts over time, usually three to five years.

Thus, option C is the correct option.

Read more about bankruptcy at; https://brainly.com/question/4418659

The formula for the gravitational potential energy of an object is U = mgh, where U represents the potential energy, m represents the mass of the object, g represents the acceleration due to gravity, and h represents the object’s height above the ground. Solve this formula for h.

Answers

U=mgh

U/m=gh

U/mg=h

therefore:

h=U/mg

The solution for h is h = U / (mg),

where U represents the potential energy, m represents the mass of the object, and g represents the acceleration due to gravity.

Here, we have,

To solve the formula U = mgh for h (the height above the ground),

we need to isolate h on one side of the equation.

Here are the steps:

Start by dividing both sides of the equation by mg:

U / (mg) = (mgh) / (mg)

This simplifies to:

U / (mg) = h

Now we have isolated h on one side of the equation.

Therefore, the formula for h is:

h = U / (mg)

So, the solution for h is h = U / (mg),

where U represents the potential energy, m represents the mass of the object, and g represents the acceleration due to gravity.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

Which congruence theorems or postulate could be given as reason why CDE ~= OPQ

Answers

Answer:

are congruent by ASA property

Step-by-step explanation:

AND TELL ME YOUR CLASS

Answer:

HA      ASA       AAS

Step-by-step explanation:

if 10% of a group of children are girls, what is the ratio of girls to boys​

Answers

Answer:

9 boys to 1 girl

Step-by-step explanation:

27 is what percent of 1875

Answers

Answer:

506.25

Step-by-step explanation:

27% is writen as 27/100

27/100 of 1875 = 27/100 x 1875

therefore, 506.25 is the answer.

If you are using a calculator, simply enter 27÷100×1875 which will give you 506.25 as the answer.

Answer:

506.25

Step-by-step explanation:

d0: 27÷100×1875

[im s0rry if this is wr0ng i tried l0l]

Solve |5x+15|=10x. Identify the solution and an extraneous solution.

Answers

|5x+15|=10x

5x+15=10x 5x+15=-10x
-5x -5x -5x -5x
15=5x 15=-15x
divide by 5 divide by -15
3=x -1=x

Choose a method that can be used to solve this system of equations by elimination.

2x - 2y = 24
4x + 7y = -40

1. Subtract 2x from both equations and solve the first equation for y.

2. Multiply the first equation by -2 and add the second equation.

3. Add the first equation to the second equation and subtract 6x from both sides of the equation.

4. Subtract 7y from the second equation and add the first equation.

Which one of these steps is the correct way of solving by elimination?

Answers

Answer:

2

Step-by-step explanation:

if we multiply the first equation by neg 2, the 4x's cancel out.

The method that should be selected is

2. Multiply the first equation by -2 and add the second equation.

Elimination method:

In the elimination method, we can either add or subtract the equations to get an equation in one variable. At the time When the coefficients of one variable are opposites, so we can add the equations to eliminate a variable and when the coefficients of one variable are equal we can subtract the equations to eliminate a variable.

Learn more about an equation here: https://brainly.com/question/17599700

What is the solution to the system of linear equations graphed below?

Answers

Answer:

Step-by-step explanation:

the last answer D

Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

Answers

Answer: The required scale factor[tex]=\dfrac43[/tex]

Step-by-step explanation:

Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]

Here, ED = 3 units  in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]

[tex]=\dfrac{4}{3}[/tex]

hence, the required scale factor[tex]=\dfrac43[/tex]

4. Hakim buys n kg of rice. Vanu buys 2 kg more rice than Hakim. Kevin buys
one-fifth of the amount of rice that Vanu buys.
(a) Find the total amount of rice that Hakim and Kevin buy altogether.

Answers

Rice bought by
Hakim : n kg
Vanu : n+2 kg
Kevin : 1/5(n+2) kg

Hakim + Kevin : n + 1/5(n+2)
= n + (n+2)/5
= n/5n + n^2+2n/5n
= n+n^2+2n/5n
= 3n + n^2/5n
= 3+n/5

What one transformation maps ABC to A''B''C''?

Answers

Answer: i dont know all i want is the points

Mateo started with more

than 100 boxes of cookies to

sell He sold 25 boxes. After

selling 25 boxes, how many

more boxes can he sell to

sell them all?

Answers

Answer:

y > 75

Step-by-step explanation:

Given that:

Starting number of boxes = > 100

Number of boxes sold = 25

Number of boxes left after selling 25

Let the number of boxes left = y

y = starting number of boxes - Numbe rof boxes sold

y = 100 - 25

y = 75

Since the starting number of boxes is more than 100

Then, y should also be more than 75

y > 75

The pizza store is having a 30% off sale on all of its pizzas. If the pizza you want
regularly costs $14, how much would you save with the discount?

Answers

The answer would be 4.2

6. The desks at Ryder Middle School are shaped like a rectangle with an area of square inches. The length of the desk is inches. Write an expression to represent the width of the desk.

Answers

Answer:

x squared + x + 2

Step-by-step explanation:

no.

at her job Jessie earns 9.75 an hour. she also earns a bonus of 80 dollars every month.
Jessie needs to earn at least 500 dollars a month. create an inequality that represents this situation, where h represents the number of hours that Jessie works in a month in order to earn at least 500 dollars

Answers

Answer:

9.75h + 80 ≥ 500

Step-by-step explanation:

Hi! If we look at the problem, it says that "Jessie earns 9.75 an hour." If it is asking you to use h as the hour, it results to 9.75h. Next, she gets a bonus of 80 dollars every month. 9.75h + 80. Lastly, it says she "needs to earn at least 500 dollars". at least is a fancy way of saying greater than or equal to '≥'.

Hope this helps!

Tell whether each relationship is a function

Answers

Answer:

This is not a function

Step-by-step explanation:

There are multiple x coordinates so if you put this on a graph then try to do the vertical line test it will fail resulting in this not being a function.

How much is 2000mg in grams?

Answers

Answer:

2 grams

Step-by-step explanation:

It’s 2 grams ...............

44 is 25% of what
pls help they gave me these without teaching them

Answers

Answer:

176

Step-by-step explanation:

In order to find these kinds of problems, you need to divide the given number by the percentage in its decimal form.

25% = 0.25

44/0.25 = 176

To check your work, simply take the answer and multiply it with the percentage.

176*0.25 = 44

HELP ME PLEASEEEE
HELPPPPPPPPPPPP

Answers

Answer:

y / cos x

Step-by-step explanation:

Use trigonometry to help

cos = adjacent side/hypotenusehypotenuse = adjacent side / cos

Substitute values:

Distance between the Sun and the Moon = y / cos x

What is the positive solution to 2x^2 - 4x - 30 = 0?

Answers

Answer:

x=-3 or x=5

Step-by-step explanation:

Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.

What is the mean of the sampling distribution of ˆ p A − ˆ p B ?

Answers

Answer:

0.02

Step-by-step explanation:

High schools A :

Percentage of participants in on the school athletic team = 20%

Pa = 20% = 0.2

High school B:

Percentage of participants in on the school athletic team = 18%

Pa = 18% = 0.18

The mean of sampling distributon is :

Pa - Pb

0.2 - 0.18

Hence, Mean of sampling distribution is 0.02

help please will give brainliest PLEASE


I accidentally chose that​

Answers

Answer:

I think its the third one but i might be wrong

Step-by-step explanation:

Solve for the variable. (g + 6)/3 = 11

Answers

Question:-

solve the variable:-[tex]\sf{\dfrac{(g+6)}{3}=11   }[/tex] 

Answer:

[tex]\green{\boxed{g=27   }}[/tex]      

Explanation:

:[tex]\longrightarrow \bold{\dfrac{(g+6)}{3}=11   }[/tex] 

:[tex]\longrightarrow \bold{ g+6=11\times 3  }[/tex]

:[tex]\longrightarrow \bold{g+6=33   }[/tex] 

:[tex]\longrightarrow \bold{ g=33-6  }[/tex] 

:[tex]\dashrightarrow\bold{g=27   }[/tex]

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