Which number is rational?

Solve and explain please

vekshin1

Answer:

Step-by-step explanation:

7x + 9 = 9x - 19. [Corresponding Angles]

=> 9x - 19 = 7x + 9

=> 9x - 7x = 19 + 9

=> 2x = 28

$= > x = \frac{28}{2}$

=> x = 14 (Ans)

3 0

3 years ago

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I need a little bit of help

AlladinOne [14]

What can I help u with

6 0

3 years ago

Find the value of angle x , angle y, and angle z in figure.

Lynna [10]

$\bf \underline{★ Solution-} \\$

In the given figure, we are given with two lines which are parallel to each other. We are also given with two lines which forms a triangle and also forms as a transversal lines to the parallel lines. We are also given that the given triangle is an isosceles triangle. So, we can say that the other angle in the triangle also measures 75°.

Now, let's find the value of the ∠x.

We know that the alternate angles in the parallel line always measures the same as the one which is in it's alternate side. So,

$\sf \leadsto \angle{x} = {75}^{\circ}$

Now, let's find the value of the ∠z.

We know that, all the angles in a triangle always adds up to 180°. In the given triangle, we are given with two angles, so we can easily find the third angle.

$\sf \leadsto {75}^{\circ} + {75}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \leadsto {150}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \leadsto \angle{z} = 180 - 150$

$\sf \leadsto \angle{z} = {30}^{\circ}$

Now, let's find the value of the ∠y.

We know that all the angles that forms a straight line always equals up to 180° (or) the the straight line angle always measures 180°. So, we can find the value of the ∠y by this concept.

$\sf \leadsto {75}^{\circ} + {30}^{\circ} + \angle{y} = {180}^{\circ}$

$\sf \leadsto {105}^{\circ} + \angle{y} = {180}^{\circ}$

$\sf \dashrightarrow \angle{y} = 180 - 105$

$\sf \dashrightarrow \angle{y} = {75}^{\circ}$

Therefore,

The value of the ∠x is 75°.
The value of the ∠y is 75°.
The value of the ∠z is 30°.

$\bf \underline{Hope\: this \: helps!!} \\$

5 0

3 years ago

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Which of these strategies would eliminate a variable in the system of equations? 5x+3y=9 4x−3y=9

puteri [66]

Adding both equations will eliminate a variable in the system of equations

Step-by-step explanation:

Given equations are:

$5x+3y= 9\ \ \ \ \ Eqn\ 1\\4x-3y=9\ \ \ \ \ Eqn\ 2$

One of the methods to solve simultaneous linear equations is elimination. In elimination one of the variables is eliminated from the system to find the value of other variable.

In the given equations we can see that the coefficients of y in both equations are same with opposite signs so adding both equations will eliminate the variable y from the system.

Hence,

Adding both equations will eliminate a variable in the system of equations

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

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HELP!!! Plz

ivanzaharov [21]

Answer:

1.$400.00 2.$4,000.00

Step-by-step explanation:

Scenario: Your team has been hired to provide financial analysis for a start-up company, Bobble in Style, which produces customized bobble heads. The bobble heads are made out of less rigid materials and are more true to life than those of competitors. The company inventors, Mr. and Mrs. Lee, are going to pitch their idea to Shark Tank in a few months, but first they need to have a better understanding of the business financials. The Lee’s are already creating and selling their product from their home-based office and work area. They know what costs are involved with making the bobble heads on a small scale, but they don’t have an understanding of financial figures beyond basic costs. They need you to make sense of various financial figures for them.

Cost Classification: The Lee’s have provided you with the following costs and relevant information that are assumed for year 20XY. Classify the costs as variable costs or fixed costs. Explain the importance of distinguishing between variable and fixed costs. If business is expected to be steady from month to month, provide a monthly budget based on these figures.

Advertising Fees = $4,000

Labor = $400/month

One part-time employee will be hired to take care of packaging and shipping. This employee will be paid $10 per hour. He or she is estimated to work 40 hours total per month.

Packaging Supplies = $3,000

Office Supplies = $800

Phone and Internet Service = $115/month

Product Supplies = $9,000

Shipping Fees = $1,000/month

Conference Exhibitor Fee = $3,000

Travel Expenses for Conference (e.g. airfare, meals, taxi) = $1,200

Utilities for the Home Workshop = $105/month

Break-Even Analysis: You have been asked to calculate how many units need to be sold to break even, based on the costs provided in task #3. Assume that only one conference will be attended and the estimated expenses associated with this conference are on target. Also assume that the value for total units per year is based on sales of 70 units per month. Therefore total units sold per year are 840. The selling price per unit is $79.

4 0

3 years ago

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