∠C and ∠D are vertical angles with m∠C=−3x+58 and m∠D=x−2 .

What is m∠D ?

Answers

Answer 1

vertical angles are equal

-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15

m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13

Answer 2

Answer:

m<D is [tex]13^{0}[/tex]

Step-by-step explanation:

Vertically opposite angles are said to be equal angles, thus;

m<C = m<D

So that,

-3x + 58 = x -2

-3x - x = -2 -58

- 4x = - 60

x = [tex]\frac{- 60}{- 4}[/tex]

x = 15

Thus,

m< D = x - 2

= 15 - 2

= [tex]13^{0}[/tex]

Therefore, m<D is [tex]13^{0}[/tex]

Related Questions

How do you solve these 2 problems

Answers

11.The answer is -13
13.The answer is -108

Is 3.2 a rational number?

Answers

The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational. Allrational numbers are real numbers, so this number is rational and real.

Yes , all rational numbers are real numbers, so this number is rational and real

which of the following are equivalent to 0.625 625/1000 100/625 5/8 125/200 20/125

Answers

625/1000= 0.625

100/625= 0.16

5/8= 0.625

125/200= 0.625

20/125= 0.16

A 56-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

Answers

X+2x+5x = 56. Divide 56 by 8 to get 7 = x. First=7. Second=14, third=35

The length of all the three pieces x,y,z will be 7 in, 14 in. and 35 in. respectively .

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Let the three pieces of 56 in. board are cut into ratio x : y : z than it is given that second piece that is y equals 2x and third piece z equals 5x. Now solving for value of x :

[tex]\begin{aligned}x+y+z&=56\\x+2x+5x&=56\\8x&=56\\x&=7\end{aligned}[/tex]

Therefore, the length of all the three pieces x,y,z will be 7 in, 14 in. and 35 in. respectively .

Answers

Answer: The percentage of decrease is: " 33 ⅓ %" .
_____________________________________________
Explanation:
____________________________________________
Given:
____________________________________________
10 years ago, # of illiterate people = 150 lakhs;

"Now" ; # of illiterate people = 100 lakhs ;
____________________________________________
So; the decrease in the # of illiterate people = "(150 - 100) = 50 lakhs ;
____________________________________________
To calculate the "percentage of decrease" :
____________________________________________
The "percentage of decrease" =

{"decrease in the # of illiterate people"} / {"# of illiterate people started with"] ;

× 100 (percent).
__________________________________________________
= [tex] \frac{50}{150} [/tex] * 100 % ;

{Note that: [tex] \frac{50}{150} [/tex] = [tex] \frac{5}{15}[/tex] ;
→ The "zeros" cancel out ;

→ [tex] \frac{50}{150} [/tex] * 100 % ;

= [tex] \frac{5}{15}[/tex] * 100 ;

Note: [tex] \frac{5}{15}[/tex] = [tex] \frac{(5/5)}{(15/5)} [/tex] ;
= [tex] \frac{1}{3} [/tex] ;
__________________________________________________
→ [tex] \frac{1}{3}[/tex] * 100 = [tex] \frac{1}{3}[/tex] * [tex] \frac{100}{1}[/tex] ;
_________________________________________________________
= [tex] \frac{(1*100)}{(3*1)} [/tex] % ;

= [tex] \frac{(100)}{(3)} [/tex] % ;

= "(100 ÷ 3) % ;

= " 33 ⅓ % " .
_____________________________________________________
Answer: The percentage of decrease is: " 33 ⅓ %" .
_____________________________________________________

A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions. Apples *? 5 ? 15 Cost 0.70 3.50 7 ? Apples cost $ __ per pound.

Answers

Answer:

Cost 0.70 per pound.

Step-by-step explanation:

If you see the cost and the weight you can get the price per pound, so if 5 pounds cost $3.50, you can evaluate doing a rule of three:

[tex]\frac{3.50}{5}=\frac{x}{1}[/tex]

So if you clear X you´d get this:

[tex]x=\frac{(3.5)(1)}{5}[/tex]

[tex]x=0.70[/tex]

So the cost per pound is $0.70.

Now that you have the cost per pound you can do the equivalent ratios:

Cost---------------Apples

0.70---------------1 pound

3.5--------------- 5 pounds

7--------------- 10 pounds

Answer:

0.70 per pound.

PLEASE HELP ANSWER WITH ALL STEPS PLS

NUMBER 3 WILL BE A PICTURE

QUESTION 4

Solve for n.
–2.34n = –12.168

n = 5.2

n = 9.828

n = –5.2

n = –9.828

QUESTION 5

Use a transformation to solve the equation.

–8c = 56

c = –48

c = 7

c = –7

c = 48

Answers

Hello.

Question 4:

-2.34n = -12.168
Divide both sides by -2.34;

n = 5.2 is your answer to #4 (Answer choice "C.)"

For Question 5:

-8c = 56
Divide both sides by -8 to solve for c;

c = -7 (remember your signs!) is your answer for #5 (Answer choice "C.)"

[tex] \frac{n}{-12.168} [/tex] = -2; To solve for this, we need to multiply both sides by -12.168 to isolate and solve for our variable.

[tex] \frac{n}{-12.168} [/tex] = -2; Multiply by -12.168

n = 24.336 (A negative multiplied by a negative results in a positive product.);

Your answer for #3 is n = 24.336 (Answer choice "B.)")

I hope this helps!

Answers:
3.) n = 24.336

4.) n = 5.2

5.) c = – 7

Explanations:

When 12.393 and t are added together, the result is 20.463. What is the value of t?

Answers

t= 8.043 because 20.436 - 12.393 = 8.043

12.393+t=20.463
subtract 12.393 by both sides
t=8.07

What property is this? if -5x-1=-11, then -5x=-10

Answers

I believe X is equal to 2

Then, the answer would be x=-2.

PLEASE HELP ASAP!!!! 10 POINTS!!!

what is the solution to the proportion

5/x =2/8

Answers

5/x=2/8, so to solve the proportion cross multiply, try to have no fraction basically, 2x=40, now solve for x, x=20

The answer is x=20 because when cross multiplied (40=2x) and divided (40/2=2x/2) you get 20=x

Hope this helps!

The height of water in a bathtub is shown shown in the graph. Find rate of change in inches per minute

Answers

1 minute and 30 seconds = 9 inches

Answer this pleaseeeeeeeee

Answers

first u have to do 5 exponent 10 then do the bottom than divide both answers

How do you join the bar you left weighs 45 pounds you add weight to the bar that are 10 pounds each if you add six weights to the bar how many pounds will you left

Answers

Hello!

45 + 10 + 6 = 61

So, your answer is 61.

I hope that was helpful! c:

Jenna bought a golf club that was marked down 20% from an original price of $75. If she paid 5% sales tax, what was the total cost of the golf club?

Answers

$63. She pays $60 for the club and $3 in taxes.

She pays $63 all together

Westside middle school sold raffle tickets as a fundraiser. The tickets were priced at five for $20. How many tickets did the school so if it brought in a revenue of $2,500?

Answers

2,500/(20/5)
20/5=4
2,500/4=625

Westside middle school sold 125 raffle tickets as a fundraiser.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, 'x' be the number of tickets sold.

Given, Each ticket costs $20 and the total revenue was $2500.

Therefore, The expression that represents this situation is,

20x = 2500.

x = 2500/20.

x = 125.

So, 125 tickets are sold.

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How do you determine if a set of ordered pairs is a function or not?

Answers

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function! Watch this tutorial to see how you can determine if a relation is a function.

A function is a set of ordered pairs in which no 2 pairs with the same first element have a different second element.

If you think about it, it makes sense. Think about f(x) = x + 1. The pairs (x, f(x)) look like (1,2), (2,3), (3,4), (4,5), etc. If you also had (1,3) in the set, then there'd be two different answers for 1+1. The same applies to any function. There can only be one result for a given input value. Your welcome!!

evaluate n/6 when n=12

Answers

When asked to evaluate, you have to plug in the given value of n (in this case), into the given equation.

n/6 = ?
In order to find out ?, we need to know what n is.
Well, n = 12
So, plug in 12 for n
n/6 would now be written as 12/6 in order to be evaluated
Now, simplify.... What you get for 12/6 is the answer

Answer:

When [tex]$ n = 12 $, $ \frac{n}{6} $[/tex] equals [tex]$ 2 $.[/tex]

Explanation:

To evaluate [tex]$ \frac{n}{6} $[/tex] when [tex]$ n = 12 $[/tex] , simply substitute [tex]$ n = 12 $[/tex] into the expression:

[tex]\[ \frac{n}{6} = \frac{12}{6} \][/tex]

[tex]\[ \frac{n}{6} = 2 \][/tex]

So, when [tex]$ n = 12 $[/tex], [tex]$ \frac{n}{6} $[/tex] equals [tex]$ 2 $.[/tex]

Which of the following is a true statement?

A. When comparing integers, the integer with greater absolute value is always the greater integer.

B. When comparing two integers, the integer with greater absolute value is always the lesser integer.

C. When comparing two integers, the integer with the smaller absolute value is always the lesser integer.

D. When comparing two integers, the integer with the smaller absolute value is always the greater integer.

Answers

The answer could only be none of them, because they all depend on the numbers.

Answer:

The answer could be :

A. When comparing integers, the integer with greater absolute value is always the greater integer.

B. When comparing two integers, the integer with greater absolute value is always the lesser integer.

how many integers are greater than 9 37 and less than 37 9

Answers

The integer between this two given integer, If the two given interger in inclusive we will calculate it using 37 - 9 + 1 = 29. So we will have a total of 29 interger in the number line if both the given integer is included.

But if the two given integer in excluded we will subtract both, we will calculate it by 37 - 9 - 1 = 27. So we will have a total of 27 integer if both the number is excluded.

Write an expression to represent the perimeter of:
2a-3
2a
3a+1

Answers

I am assuming this is a triangle.....P = a + b + c

P = 2a - 3 + 2a + 3a + 1....combine like terms
P = 7a - 2 <==

HELP ASSAP WITH THIS QUESTION

Answers

If I remember correctly judging from the 30 in the top left all you would have to is subtract 180 which is the angle of a straight line and subtract it from the 30 and it would be 150

That would be 180 - 30 = 150 degrees

(6.5/2) to the second power. Simplify

Answers

14 Bc 6.5 + 6.5 = 12 + 1/2+1/2 = 13

Why could the mean of the data set below be misleading? ages of teachers: 29, 38, 39, 26, 29, 29, 39, 77, 38, 29

Answers

The mean of the problem is 37.3. All you need to do is add all the numbers together and then divide them by the amount of numbers. So I added them all and divided by 10.

use quadratic formula

Answers

y=x <2+4x+4
i think, hope it helps

Troys recipe for bagels makes 18 bagels per batch. Troy makes 2/3 batch of bagels. How many bagels does Troy make

Answers

18/3=6. There is two parts so 6x2=12.
he made 12.

What integer can be represented by 16 positive tiles and 26 negative tiles? (A) 10 (B) -10 (C) -6 (D) 42

Answers

the answer would be (B) -10 because 16 - 26 is -10

Final answer:

The integer that can be represented by 16 positive tiles and 26 negative tiles is -10.

Explanation:

One way to solve this problem is by considering the positive and negative tiles as positive and negative numbers, respectively. If we have 16 positive tiles and we subtract 26 negative tiles, we end up with a deficit of 10 negative tiles. Therefore, the integer that can be represented by these tiles is -10 (option B).

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What is k/4+2-k=10.

Answers

i hope this help answer that

Advantage Airlines has a set fee for each checked bag, plus an additional charge for each pound the bag weighs. The cost is a linear fund of the weight?

What is the rate of change of this function?

Answers

Change in cost = 40 - 25 = 15 dollars

Change in weight = 50 - 20 = 30 pounds

Divide the two results to get 15/30 = 0.5

The rate of change is 0.5 dollars per pound meaning that each time you add a pound, the cost goes up by $0.50 (50 cents)

The rate of change of this function is 0.50.

Rates

Since Advantage Airlines has a set fee for each checked bag, plus an additional charge for each pound the bag weighs, to determine what is the rate of change of this function, knowing that 20 lbs cost $25 and 50 lbs cost $40, you must perform the following calculation:

25 / 20 = X1.25 = X40 / 50 = X0.8 = X1.25 - 0.8 = 0.45

Therefore, the rate of change of this function is 0.50.

Learn more about rates in https://brainly.com/question/25565101

Solve: 2x - 3 = 2x - 5.

Answers

2x-3 = 2x-5

because both sides have the same x value ( 2x) this problem has no solution

The value of the expression is A = 2x - 3 = 2x - 5 and the equation has no solution

Given data ,

Let the expression be represented as A

Now , the value of A is

2x - 3 = 2x - 5

The like terms of the equation are the terms which does not contain any variables and only the whole numbers

So , the simplified value of A is

On combining the like terms in the expression , we get

Subtracting 2x on both sides , we get

On simplifying the equation , we get

-3 ≠ -5

Therefore , the value of A is has no solution

Hence , the equation is undefined and has no solution

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What’s 3x+6y=12 in the form y=mx+b

Answers

Hey there!

3x+6y=12

Divide both sides by 3 and your equation would now look like:
x+2y= 4
Move the x to the other side
2y= -x+4
Seprate the y by dividing both sides by 2
y= [tex] \frac{1}{2} [/tex]x+2

3x + 6y = 12

3x(-3x) + 6y = 12 (-3x)

6y = -3x + 12

6(y)/6 = (-3x + 12)/6

y = -1/2x + 2

hope this helps

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∠C and ​ ∠D ​ are vertical angles with m∠C=−3x+58 and m∠D=x−2 . What is m∠D ?

Answers

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∠C and ∠D are vertical angles with m∠C=−3x+58 and m∠D=x−2 .

What is m∠D ?