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
Zielflug [23.3K]
3 years ago
8

Which statements about the diagram are true? Select three options.

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

Answer:

  • x = 63
  • z = 117
  • x + z = 180

Step-by-step explanation:

x is a "corresponding" angle for the one marked 63°. Here, corresponding angles are congruent, so x = 63°.

__

x and z are "same-side interior angles," so are supplementary. Their sum is 180°. x + z = 180°.

__

Because x and z are supplementary and z and 63° are supplementary, you know that ...

  z = 180° -63°

  z = 117°

_____

<em>Comments on the other answer choices</em>

The value of y can be computed using the fact that the sum of angles interior to the triangle is 180°. The unmarked triangle interior angle is a vertical angle to the one labeled 63°, so it is 63°. Then the value of y is ...

  y° = 180° -47° -63° = 70° . . . . . . . not 47°

__

We already know that 63° + y + 47° = 180° and x = 63°. That means ...

  x + y + 47° = 180°

so it cannot be true that x+y = 180.

otez555 [7]3 years ago
6 0

Answers are 1,3, and 5

You might be interested in
How long does it take a principal of $25,000 at a simple interest rate of 5% to become 30,000? Show all work
vodka [1.7K]

It takes 4 years for a principal of $25,000 at a simple interest rate of 5% to become 30,000

<em><u>Solution:</u></em>

Given that:

principal = $ 25000

rate of interest = 5 %

Total amount = $ 30000

Number of years = ?

Formula used:

Total amount = principal + Simple interest

30000 = 25000 + Simple interest

Simple interest = 30000 - 25000

Simple Interest = $ 5000

<em><u>The simple interest is given as:</u></em>

S.I = \frac{pnr}{100}

Where, "p" is the principal

"n" is the number of years

"r" is the rate of interest

Substituting the values in formula, we get

5000 = \frac{25000 \times n \times 5}{100}\\\\5000 = 250 \times n \times 5\\\\n = \frac{5000}{250 \times 5}\\\\n = 4

Thus it takes 4 years for a principal of $25,000 at a simple interest rate of 5% to become 30,000

8 0
3 years ago
Which expressions represent a quadratic expression in factored form?
Bingel [31]

Answer:

3 and 4

Step-by-step explanation:

Well to start we have to know that they are asking us, a factorized form of a quadratic expression

a quadratic expression is of the form

ax ^ 2 + bx + c

Now the factored form is as follows            

 a ( x - x1 )  ( x - x2 )

Next, let's look at each of the options

In this case we lack a term with x since if we solve we have a linear equation

1.    5(x+9)

  5x + 45

In this case if we pay attention they are being subtracted instead of multiplying, so we will not get a quadratic function

2.    (x+4) - (x+6)

       -2

In this case we have everything we need, now let's try to solve

3.     (x-1) (x-1)

      x^2 - x - x + 1

      x^2 - 2x + 1       quadratic function

In this case we have everything we need, now let's try to solve

4.     (x-3) (x+2)

        x^2 -3x +2x -6

         x^2 -x - 6    quadratic function

In this case we have a quadratic function but we do not have it in its factored form since we can observe the x ^ 2

5.     x^2 + 8x

8 0
3 years ago
Two people bought gas .Each gallon of gas cost the same amount.The money that they spend in dollars is represented by the expres
nata0808 [166]
=75 he bought each person 10
8 0
3 years ago
darnells's car used 8 gallons of gasoline to travel 340 miles.After a mechanic worked on the car it used 7 gallons of gasoline t
NemiM [27]
If it is $4.00 per gallon then we need to find the price of 7 gallons.
7 * 4.00 = 28
so it costs $28 to travel 350 miles.
no to find the cost per mile, we need to divide.
350 / 28 = 12.5
so the cost to run the car per mile is $12.50
4 0
3 years ago
Describe the type of solution for the given system of linear equations.
Kazeer [188]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Find the lateral area the regular pyramid.
    13·2 answers
  • How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?
    14·1 answer
  • What is the greatest common factor of 20 and 36?
    12·2 answers
  • What is name of the quadrant in which the point (-4,-3) could be found on the coordination plant
    5·1 answer
  • Write the equation of the line that passes through (3,3) and (1,-5).
    7·1 answer
  • A rectangular folder has a perimeter of 30 inches and an area of 54 square inches. What are the dimensions of the folder?
    8·1 answer
  • A car travels 100 miles in 4 hours. What is its average speed?
    13·2 answers
  • Which of these statement is true about this graph
    8·2 answers
  • I dont know this. plz help ​
    8·2 answers
  • Is this figure rigid or flexible?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!