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3 years ago

Angle 1 is supplementary to angle 2

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

9514 1404 393

Answer:

congruent

Step-by-step explanation:

Angles supplementary to the same angle are congruent.

Here, angles 1 and 3 are both supplementary to angle 2, so ...

angle 1 and angle 3 are congruent

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Would be the value of x

gladu [14]

Answer:

for the perimeter to be made into a equation it would take the equation

2(3x - 5) + 2(2x + 1)

And for the perimeter to equal 42 x would have to equal 5

Step-by-step explanation:

so first of all we have to find our equation to equal 42:

2(3x - 5) + 2(2x + 1) = 42

you then multiply 2 for both parentheses:

(3x * 2) + (-5 * 2) + (2x * 2) + (1 * 2) = 42

so its now:

6x -10 + 4x + 2 = 42

now your going to add variables to variables and numbers to numbers:

(6x + 4x) + ( -10 + 2) = 42

to get:

10x + (-8) = 42

Now your going to add 8 to both sides:

10x + (-8) = 42

+8 +8

Giving the equation:

10x = 50

now you divide both sides by 10 to get:

10x/ 10 = 50/10

x = 5

to solve you put 5 in place of the variable x:

2(3*5 - 5) + 2(2*5 + 1)

2(15 - 5) + 2(10 + 1)

20 + 22 = 42

So x equals 5 if the perimeter equaled 42

4 0

3 years ago

Use the tax table to help answer the following question.

iragen [17]

9514 1404 393

Answer:

d. $16.34

Step-by-step explanation:

Luce's income of 763 is between 760 and 780, so the third row of the table applies. Her allowances are 0, so the first column applies, indicating her federal tax withholding is $86.

Her state tax withholding is 19% of that amount, so is ...

19% × $86 = $16.34 . . . . matches choice D

7 0

3 years ago

Type the equation that shows the pattern among this set of ordered pairs.

stich3 [128]

First find the slope between any two points:

$\sf Slope=\frac{y_2-y_1}{x_2-x_1}$

Where $\sf (x_1,y_1),(x_2,y_2)$ are the two points

So calculating the slope:

$\sf Slope=\frac{5-0}{2-1}=\frac{5}{1}=5$

So the slope is $\boxed{5}$

And our equation will be in the format of $\sf y=mx+b$
where $\sf m~ is~ the ~slope$ and $\sf b ~is~the~y-intercept$

So, now we have half of the equation:

$\sf y= 5x+b$

Now to calculate b, we can plug in a point $\sf (x,y)$ and solve for b.

So

$\sf y= 5x+b$

Lets use the point
$\sf (1,0) which ~is~in~the~form ~of ~(x,y)$

So:
$\sf 0=5(1)+b$

And then:
$\sf b=-5$

So our final equation is $\sf \boxed{y=5x-5}$

6 0

3 years ago

Mr. Richard owns an orchard that has a rectagular fence . The orchard is 36 yards long and 18 yards wide . if he walks across th

Sergio [31]

Answer:

40.2 Yards

Step-by-step explanation:

To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:

c²= a² + b²

a = 36 Yards

b = 18 Yards

Now let's plug in our values to the formula.

c² = a² + b²

c² = 36² + 18²

c² = 1296 + 324

c² = 1620

Now to find the value of c we need to get the square root of both sides.

$\sqrt{c^{2}}=\sqrt{1620}$

c = 40.2

So the diagonal length of Mr. Richard's orchard is 40.2 Yards.

7 0

4 years ago

OK this id just for fun but how many holes are in A Polo

krok68 [10]

Four holes I believe.
Just a wild guess though.

8 0

3 years ago

Read 2 more answers