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
iragen [17]
3 years ago
7

Can someone tell me how to do this?

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

For #21, x = 35, y = 85

Step-by-step explanation:

For these types of problems, you will simply use to facts.  The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent.  With that being said, let's work #21.

We can see that there are two lines, and we are given 2 values to find with 3 possible equations.

[1] ( 2x + 25 ) + y = 180

[2] y + ( 3x - 10 ) = 180

[3] 2x + 25 = 3x - 10

Using any of these equations, we can solve for the variables.  Let's use the 1st and 3rd equations to find x and y.

2x + 25 = 3x - 10

2x + -2x + 25 + 10 = 3x + -2x + -10 + 10

35 = x

Now plug in the value of x to find y:

( 2x + 25 ) + y = 180

( 2(35) + 25 ) + y = 180

( 70 + 25 ) + y = 180

95 + y = 180

y = 85

We can check these values by plugging into the 2nd equation

x = 35 ; y = 85

y + ( 3x - 10 ) = 180

(85) + (3(35) - 10) = 180

85 + ( 105 - 10) = 180

85 + 95 = 180

180 = 180

Thus, we have validated our results and found the values of x and y.

Cheers.

You might be interested in
The function g is defined by the following rule. g(x)=5x-4 <br> complete the function table
Elan Coil [88]
(-4,-24) (-1,-9) (1,1) (2,6) (4,16)

8 0
3 years ago
Read 2 more answers
A parabola and it’s directrix are shown on the graph. What are the coordinates of the focus of the parabola?
Svetllana [295]

Answer:

a. (0,2)

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Noah was assigned 64 cookies for the bake sale. He mad 125% of that number. 90% of the cookies he made were sold. How many of No
Mice21 [21]
Noah made 80 cookies and sold 72. This means that 8 cookies were left.
5 0
3 years ago
Write an algebraic expression for 15 decreased by twice a number
vichka [17]
An algebraic expression is, obviously, an expression with a variable.

"A number" would represent a variable, which, in this case, we'll use y.

So, 15 decreased by twice x.
15 - y x 2 = 

I hope this helped :)
6 0
3 years ago
Read 2 more answers
Does anyone know how to do this and if so can you please help me and explain how to do it, it’ll be appreciated thank you
dalvyx [7]

Answer:

13) (5x)^{-\frac{5}{4} ⇒ \frac{1}{\sqrt[4]{(5x)^5}}

15) (10n)^{\frac{3}{2} ⇒ \sqrt{(10n)^3}

Step-by-step explanation:

Given expression:

13) (5x)^{-\frac{5}{4}

15) (10n)^{\frac{3}{2}

Write the expressions in radical form.

Solution:

For an expression with exponents as fraction like

(x)^{\frac{m}{n}

the numerator m represents the power it is raised to and the denominator n represents the nth root of the expression.

For an expression with exponents as negative  fraction like

(x)^{-\frac{m}{n}

We take the reciprocal of the term by rule for negative exponents.

So it is written as:

\frac{1}{(x)^{\frac{m}{n}}}

using the above properties we can write the given expressions in radical form.

13) (5x)^{-\frac{5}{4}

⇒ \frac{1}{(5x)^{\frac{5}{4}}}   [Using rule of negative exponents]

⇒ \frac{1}{\sqrt[4]{(5x)^5}}    [writing in radical form]

15) (10n)^{\frac{3}{2}

⇒ \sqrt{(10n)^3}     [Since 2nd root is given as \sqrt{} in radical form]

3 0
3 years ago
Other questions:
  • Write an equation of a line perpendicular to y=3x+5 that contains the points (-3,-4)
    5·1 answer
  • Ellis took out a 20 year loan for $70,000 at an APR of 12.5% compounded monthly approximately what would be the total cost of hi
    9·2 answers
  • If x is 32 mm what’s the area of the triangle
    10·1 answer
  • A scale on a hiking map shows that 3 inches represents 1.25, miles.
    9·1 answer
  • What the perimeter of 2m 10cm and 45cm of a rectangle
    5·2 answers
  • Is the following number rational or irrational?<br> 9.0<br> A: rational<br> B: Irrational
    6·1 answer
  • PLEASE HELP
    10·1 answer
  • J has a loan of $42,350. This loan has a simple interest rate of 8% per year. What is the amount
    11·1 answer
  • 2/4 + 3/9 in Modeling Fractions?
    13·1 answer
  • Order of operations, step by step <br> 56-12 / 6+4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!