-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

To learn more about the similar triangles;

https://brainly.com/question/14926756

#SPJ2

Answer:

-1 1/6

Step-by-step explanation:

[tex]3\frac{1}{6} + (-4\frac{1}{3} )[/tex]

Convert the mixed numbers into improper fractions

[tex]\frac{19}{6} + (-\frac{13}{3} )[/tex]

Apply the rule: a + (-b) = a - b

[tex]\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}[/tex]

The Least Common Multiplier of 6 and 3 is 6

Adjust the fractions on the LCM

[tex]\frac{19}{6} - \frac{26}{3}[/tex]

Apply the Fraction Rule: [tex]\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}[/tex]

[tex]\frac{19 - 26}{6}[/tex]

Subtract the numbers

[tex]\frac{-7}{6}[/tex]

Apply the Fraction Rule: [tex]\frac{-a}{b} = - \frac{a}{b}[/tex]

[tex]-\frac{7}{6}[/tex]

Convert improper fraction into a mixed number

[tex]-1\frac{1}{6}[/tex]

Hope this Helps :)

Answer:

29,000

Step-by-step explanation:

Answer:

30,000 i believe

Step-by-step explanation:

if that isnt the right answer then its just 29,000

Answer:

 [tex]\Large \text{$ \frac{1}{w^2} $}[/tex]

Step-by-step explanation:

Given the exponential expression, [tex]\displaytext\mathsf{w^3\:\times\:w^{-5}}[/tex], where it involves the multiplication of the same base, w, with varying powers.  

Using the Product Rule of Exponents, where it states that, [tex]\displaystyle\mathsf{a^{m}\:\times\:a^{n}\:=\:a^{(m\:+\:n)}}[/tex].

Hence, we simply need to add the exponents:  

[tex]\displaytext\mathsf{w^3\:\times\:w^{-5}\:=\:w\:^{[3\:+\:(-5)]}\:=\:w^{-2}}[/tex]

Next, apply the Negative Exponent Rule, where it states that: [tex]\displaystyle\mathsf{a^{-n}\:=\:\frac{1}{a^n}}[/tex].

Transforming the negative exponent of  [tex]\displaytext\mathsf{w^{-2}}[/tex]  becomes a positive exponent by using the Negative Exponent Rule.

  [tex]\displaytext\mathsf{w^{-2}\:=\:\frac{1}{w^2}}[/tex]

Answer:

[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

For both of them:

Elizabeth:

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

Answer:

I only can see that one of them are B i don't know for the rest

Step-by-step explanation:

Answer:

Step-by-step explanation:

The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.

\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}

Student A

20,320 - 282

20,320 + (-282)

20,038 feet

​

Student B

20,320 - ( -282)

20,320 + ( + 282)

20,602 feet

​

Answer:

A

Step-by-step explanation:

4×-12

Answer is letter A

hope it help^^

Answer:this question is confusing but it's probably the last one, must be the one passing through

x=1

y=-1

Answer:

x values

division

Step-by-step explanation:

Vertical lines are all "rise" and no "run"

therefor the difference in x values is always 0

division by 0 is undefined

Answer: y- values

Step-by-step explanation:

The answer is −0.09

It should be simple multiplication.

I hope this helps!

Step-by-step explanation:

answer is in the above picture

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

alternate interior angles, alternate exterior angles, CORRESPONDING angles, VERTICAL angles

Step-by-step explanation:

The first two are correct but you mixed up the last two.

Corresponding angles have to be on parallel lines.

Vertical angles are opposite angles created by an intersecting line.

Hope this helps!!!

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

a. false

b. true

c. true

d. false

Step-by-step explanation:

hope this is right

(if not tell me in the comments and i will try to help you best i can)

Answer:

12×10 = 120

NOT 84

THE ANSWER IS 120

Answer:

$0.38 per lb.

Step-by-step explanation:

unit rate formula; cost / quantity

4.99 / 13 = 0.3838461538461

round to the nearest hundredth

Answer:

the answer is C trust me by

Answer:

Hence, the value of x is 9°

Step-by-step explanation:

7x + 14 = 9x - 4. [(Corres. ∠s]

⇛ 7x - 9x = -4 - 14

⇛-2x = -18

⇛x = -18÷-2

⇛x = 18/2

∴ x = 9

NOW,

Read more:

Similar Question

find the measure of angle 1, given that AB || CD...

https://brainly.com/question/3983123?referrer

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

Answer:

4.2 laps per minute

Step-by-step explanation:

21laps/5min = 4.2laps/1min

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Because when you add all the cost and divide by the amount of tickets you get 25

Answer:

abcdefghijklmnopqrstuvwxyz