What is the measure of AngleDCF?

Three lines extend from point C. The space between line C D and C E is 75 degrees. The space between lines C E and C F is 54 degrees.

The measure of AngleDCF is
degrees.

Answer:

x=4

Step-by-step explanation:

8x+9-4x=25

8x-4x=4x (combined like terms)

4x+9=25

4x+9-9=25-9 (subtract 9 from both sides)

4x=16

4x/4=16/4

x=4

Hope this helps!

Answer:

the answer is B

Step-by-step explanation:

net worth is liabilities minus assets

Answer:

2x + 7 = 17 using algebra equation you can resolve ir

Step-by-step explanation:

the question is not understood plz clarify it

Answer:is 2 over 4|/x

Step-by-step explanation:

Answer:

x - 4 = 10 Solution.

2x - 4 = 10 Solution.

5x - 6 = 3x - 8 Solution

2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3 Solution.

Solution.

Step-by-step explanation:

The value of x in the given expression is -a/6

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 4 = 6x / a + 5

Solving for x, we get,

4 = 6x / a + 5

Subtracting 5 both the side,

6x / a = -1

Multiplying by a both the sides,

6x = -a

Dividing by 6 both sides,

x = -a/6

Hence, the value of x is -a/6

For more references on expressions, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

21 slices

Step-by-step explanation:

given:

3/7 of a pizza ----> represents 9 slices

hence,

1/7 of a pizza -------> represents 9/3 = 3 slices

therefore

a whole pizza

= 7/7 of a pizza -------> represents 3 x 7 = 21 slices

Answer:

Hi there!!

Your answer is:

21 slices

Step-by-step explanation:

3/7ths = 9 slices

× 7/3

1 whole pizza = 21 slices

This is called the multiplicative inverse! 3/7 × 7/3 = 1

Hope this helps!

Answer:

its 99

Step-by-step explanation:

because it is the middle of your set after you arrange them in order from least to greatest

Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.

Answer:

D

Step-by-step explanation:

Answer:

John is not correct

Step-by-step explanation:

(Unless you meant 5:6)

Make the base question into [tex]\frac{35}{42}[/tex]

simplify as much as possible. I found the Greatest Common Denominator (GCF) of 35 and 42, which was 7

divide 35 and 42 by the GCF (7), and you should get 5:6 as your answer.

Answer:

82

Step-by-step explanation:

solve a + (3a) + (a + 100)=510

[tex]:\implies\sf\:(8^9)^p=8^{18}[/tex]

[tex]\dag\bf\:(a^m)^n=a^{mn}[/tex]

[tex]:\implies\sf8^{9p}=8^{18}[/tex]

[tex]\dag\bf\:18=9\times 2[/tex]

[tex]:\implies\sf\:8^{9p}=8^{9\times 2}[/tex]

[tex]\dag\bf\:a^x=a^y\:\longrightarrow\:x=y[/tex]

[tex]:\implies\sf\:9p=9\times 2[/tex]

[tex]:\implies\boxed{\bf{\red{p=2}}}[/tex]

Answer:

10

Step-by-step explanation:

20/2=10

Answer:

10

Step-by-step explanation:

20÷2=10

twenty divided by two is ten

Answer:

just remember this:

negative x negative = positive

positive x positive = positive

postive x negative = negative

negative x postive= negative

lookon bbcbitesize for adding negatives and positive rule

Answer:

t-6

Step-by-step explanation:

listen to how the statement is worded, it will help with other problems like this.

Answer: p = 50 s

Step-by-step explanation:

Given: In each sack, there are 10 bags. In each bag, there are 5 pouches.

i.e. Total pouches in each sack = (Number of bags in each sack) x (Number of pouches in each each bag)

= 10 x 10 =50

Let p =  number of pouches, and s= the number of sacks

Then, Number of p pouches in s sacks will be given by-

p = 50 s , which is the required equation.

Answer:

14 divide 5 =3.1 is your answer if I'm not wrong

Answer:

37/7

Step-by-step explanation:

First you multiply 5 by the denominator which is 7 which will equal to 35 and then you add the numerator which is 2 to that and you get 37/7

Answer:

a and e

Step-by-step explanation:

All the given option are true.

m∠ABC = 45° (true)

m∠CBD = 45° (true)

m∠ABD = 90° (true)

What is angle bisector ?

angle bisector is the line which divides the given angle into two equal parts.

Here, it is given that the angle [tex]\angle ABD[/tex] is a right angle triangle that is it will make an angle of 90 degree and the angle bisrector BC will divide the angle into two equal part that is  [tex]\angle ABC = \angle BCD = 45^{o}[/tex].

Therefore, all the given conditions are true.

Read more about angle bisector at:

https://brainly.com/question/12896755

#SPJ2

Answer:

$77.00

Step-by-step explanation:

25-11= 14

14 x 5.50= 77

Answer:

x = 2

Step-by-step explanation:

So we are given the equation 14x - 10 = 3(4 + x) and we are asked to solve for x. To this, we will have to get x by itself on one side and a value on the other side.

14x - 10 = 3(4 + x)

Distribute the 3 on the right side.

14x - 10 = 12 + 3x

Add 10 to both sides.

14x = 22 + 3x

Subtract 3x from both sides.

11x = 22

Divide both sides by 11.

x = 2

So now we got the answer of x = 2.

I hope you find my answer helpful.

Answer:

x = 2

Step-by-step explanation:

14x - 10 = 3(4+x)

=> 14x -10 = 12 + 3x

=> 14x - 3x = 12 + 10

=> 11x = 22

=> x = 22/11

=> x = 2

Answer: [tex]3r+8<-12[/tex].

Step-by-step explanation:

It is given that three times a number r plus 8 is fewer than −12.

We need to write the sentence as an inequality.

Three times a number r = 3r

Times a number r plus 8 = 3r+8

Fewer than = less than = <

So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is

[tex]3r+8<-12[/tex]

Therefore, the required inequality is [tex]3r+8<-12[/tex].

The inequality that describes the sentence is:

[tex]3r + 8 < -12[/tex]

--------------------------------

[tex]3r + 8 < -12[/tex]

Which is the inequality that describes this situation.

A similar problem is given at https://brainly.com/question/13094243

Answer:

2 + (-4) equals -2

Answer:

-2

Step-by-step explanation:

A positive number plus a negative number equals another negative number

Steps to solve:

4(x - 3) = 16

~Distribute left side

4x - 12 = 16

~Add 12 to both sides

4x = 28

~Divide 4 to both sides

x = 7

Best of Luck!

Answer:

32x107=3424=3,424*[tex]10^{3}[/tex]

Step-by-step explanation:

Answer:

The inequality 10,000 (0.85)^t < (1,000) can be used to represent the situation.

The solution set for the inequality is (14.168)

Answers: 0.85, 1,000, 14.168

The solution set for the inequality is (15, ∞).

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence. This decrease is measured as depreciation.

If the reduced value of the goods is compounded for fixed time then it is called compound depreciation.

Formula of compound interest for depreciation:

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

Where,

A= Final Amount

P = initial Principal

n = time in years

r = rate per annum

According to the question

New copier costs (p)  = $10,000

depreciates in value every year (r) =  15%

The principal will replace the copier when it drops below 10% of its original value.

i.e  Final amount should be less than [tex]$10,000 * \frac{10}{100}[/tex]  

A is < $ 1000

Using compound interest formula :

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

[tex]1000 > 10000(1-\frac{15}{100} )^{n}[/tex]

[tex]0.1 > (0.85 )^{n}[/tex]

n ≈ 14.168

n = after 15years (next whole no)

Hence , The solution set for the inequality is (15, ∞).

To know more about compound interest for depreciation here:

https://brainly.com/question/17186414

#SPJ2

Answer:

[tex].[/tex]

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

1)

[tex](x - 5)(x - 5)[/tex]

=(x-5)²

2)

[tex](3x - 2)(3x + 2)[/tex]

[tex] {(3 x)}^{2} - {(2)}^{2} [/tex]

[tex] = 9 {x}^{2} - 4[/tex]

3)

[tex](1+x)(1+x)[/tex]

= (1+x)²