1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Finger [1]
2 years ago
15

If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees, find x.

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

vertical angles are congruent , so

∠ A = ∠ B , that is

5x - 1 = 4x + 4 ( subtract 4x from both sides )

x - 1 = 4 ( add 1 to both sides )

x = 5

You might be interested in
Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S
Lubov Fominskaja [6]
<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}

Substituting values:

V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}

Finally: \\ \\  \boxed{V=\frac{4}{3\left(d-4\right)}}

4 0
3 years ago
Read 3 more answers
Write 5x-y=frac14<br> in slope-intercept form.
Brilliant_brown [7]

Answer:

y=-14acfr+5x

Step-by-step explanation:

hope it helps

6 0
3 years ago
After dans holiday. Dan has 50 new email messages in his inbox . 13 of them are attachements. what proportion of the email messa
dimulka [17.4K]

Answer:

26%

Step-by-step explanation:

Given that Dan has 59 new email messages and 13 have attachment then the proportion that have attachments may be expressed as a ratio of the number with attachments to the total number of emails.

Hence proportion of the email messages have attachments as a percentage

= 13/50 * 100%

= 26%

This means that 26% of the emails received have attachments

6 0
3 years ago
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Veronika [31]

The expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Given an integral \int\limits^5_b {1} \, x/(2+x^{3}) dx.

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

\int\limits^b_a {f(x)} \, dx=\lim_{n \to \infty}∑f(a+iΔx)Δx ,here Δx=(b-a)/n

\int\limits^5_1 {x/(2+x^{3}) } \, dx=f(x)=x/2+x^{3}

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)=[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}

\lim_{n \to \infty}∑f(a+iΔx)Δx=

\lim_{n \to \infty}∑n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n

=4\lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3}

Hence the expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

#SPJ4

5 0
2 years ago
7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x
bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20

Revenue:

The revenue is given by the following equation:

R = 15x

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

\frac{4x}{3} + 20 = 15x

15x - \frac{4x}{3} = 20

\frac{45x}{3} - \frac{4x}{3} = 20

Multiplying everything by 3

45x - 4x = 60

41x = 60

x = \frac{60}{41} = 1,...

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

[

7 0
3 years ago
Other questions:
  • What’s 10% in decimal
    14·2 answers
  • Caleb bought 6 packs of pencils for $12
    14·1 answer
  • At your local farmers market, it cost $10 to rent a stand, and $7 for every hour you stay there. If you paid a total of $38, how
    12·2 answers
  • Maya wants to purchase a yearly membership to an indoor skateboard park. She'll also need to pay a set fee each time she visits
    9·1 answer
  • Ten kids line up for recess. There are five boys and five girls. How many ways are there for the 10 kids to line up so that all
    5·1 answer
  • #6 please help!<br> i will mark brainliest!
    8·2 answers
  • I will give brainliest if you help
    7·1 answer
  • At a camp with 300 campers and 15 counselors, what is the camper-counselor ratio?​
    11·1 answer
  • 4 is a square number and also an even number. How many other whole numbers less than 50 are an even, square number?
    10·1 answer
  • In need of help. plz ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!