All categories

3 years ago

Find the measure of the angle indicated by 19x+5.

Mathematics

2 answers:

vivado [14]3 years ago

7 0

Answer:

100⁰

Step-by-step explanation:

co interior angles add up to 180⁰

so l9x+5+16x=180⁰

35x+5⁰=180⁰

35x=180⁰-5⁰

35x=175⁰

Divide both side by the co-efficient of x which is 35

35x/35=175⁰/35⁰

x=5

Now to find the value of 19x+5,we have to substitute any x in it by 5

so 19x+5

19(5)+5

95+5

100⁰

Thanks. I hope it will be helpful to you

Ugo [173]3 years ago

3 0

Answer:

100

Step-by-step explanation:

16x + 19x + 5 = 180 {co-interior angles are supplementary}

Combine like terms;

35x + 5 = 180

Subtract 5 from both sides

35x = 180 - 5

35x = 175

Divide both sides by 35

x = 175/35

x = 5

19x + 5 = 19*5 + 5

= 95 + 5

= 100

You might be interested in

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

A 21 ounce box of luckycharms cost 3.57, what is the cost per ounce

Ipatiy [6.2K]

Answer:

17 cents per ounce

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

NEED HELP ASAP

CaHeK987 [17]

Answer:

The y-intercept is 6

Step-by-step explanation:

The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.

For this particular function, when x = 0 ⇒

f(0) = 0^2 + 4(0) + 6

= 0 + 0 + 6

= 6

Therefore, the y-intercept of this function is 6

8 0

2 years ago

Read 2 more answers

Input variable:<br>Output variable:

vovangra [49]

Answer:

A variable is an input variable if its Input property is Yes. Its value can be input from an external source, such as an Architect call flow. A variable whose Output property is Yes is an output variable.Since both properties can be set to yes, a variable can be both an input variable and an output variable.

Step-by-step explanation:

4 0

3 years ago

Each of four friends orders a sweatshirt from a catalog. There are 18 colors of sweatshirts, 6 of which are all cotton and 12 of

Digiron [165]

Answer:

1/204.

Step-by-step explanation:

That would be

6/18 * 5/17 * 4/16 * 3/15

= 1/3 * 1/4 * 1/5 * 5/17

= 5/1020

= 1/204.

5 0

2 years ago