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
BigorU [14]
3 years ago
13

Given: angle 2 and angle 4 are vertical. Prove angle 2 congruent to angle 4

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Answer:

use therome 2 and 3 and try it

stiv31 [10]3 years ago
3 0

Answer:

Refer to pics

Step-by-step explanation:

You might be interested in
3/8 divided by -0.25​
madreJ [45]

Answer:

thw answer is -3/2 and in decimal form its -1.5

Step-by-step explanation:

hoped I helped:)

5 0
3 years ago
6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
2 years ago
Read 2 more answers
The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If S
TEA [102]

Answer:

12.5 hours

Step-by-step explanation:

budget: 200

fix cost: 50

hourly rate: 12

hours: ?

----

First we deduct the fix 50 dollars cost from the total budget.

Then we divide the remaining amount with the hourly rate

( 200 - 50 ) / 12 = ?

? = 12.5 hours

8 0
3 years ago
What is the probability that both ties he chooses are solid white
4vir4ik [10]

Answer:

\frac{1}{25}

Step-by-step explanation:

Total outcome is 10

Favorable outcome is 2

The probability to choose solid white tie is \frac{1}{5}

The probability that both ties he chooses are solid white is

\frac{1}{5} × \frac{1}{5} = \frac{1}{25}

3 0
3 years ago
Other questions:
  • X+4(2+3) &lt; 5x is there a solution??
    14·1 answer
  • What is the average rate of change for ƒ(x) = −3x + 1 over the interval −2 ≤ x ≤ −1?
    14·2 answers
  • In x-5=9, the correct way to isolate the variable is to
    10·1 answer
  • What is the answer to <br> x+y=12<br> X=2+y
    15·1 answer
  • I need help on this I forgot how to do the work, answer please?
    8·1 answer
  • The average amount of money spent by a person who attended a local sporting event in 2000 was $8.00, of which 75% was the ticket
    11·2 answers
  • When markets and government decide how wealth, money and goods and services are distributed whay basic economic question are the
    13·1 answer
  • A food bill is $44.00 and you want to leave a 20% tip. How much money is the tip?
    13·2 answers
  • Joey’s mom baked (20) cookies. That night, there were 14 cookies left. What percentage of the cookies were eaten?
    7·2 answers
  • A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is 6 feet tall casts a shadow that
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!