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2 years ago

Which pair of angles must be congruent?

1 answer:

8 0

Vertical angles must be congruent this is because because the interior angles of vertical angles are congruent.

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PLEASE HELP WITH THIS!!

rosijanka [135]

You take $22,000.00 + $625.00= 22,625.00 (which is the sales tax)
Take $22,625.00 x .06=$1,357.50

Then take $22,625.00 + $1,357.50 +$40.00 = $24.022.50

3 0

2 years ago

Read 2 more answers

Evaluating expressions

ad-work [718]

Step-by-step explanation:

6.) 8p = 8x9 = 72

8.) 4(d+7) = 4(-2+7) = 4(5) = 20

can't read all of 10 to give an answer

7 0

2 years ago

Help asap ! -100x - 100 = 0 -100x = ? x = ?

marin [14]

Answer:

-100x = 10 x = 1

Step-by-step explanation:

I did the math and this is what I got

6 0

2 years ago

The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

Marianna [84]

Answer:

It is given that the volume of a cone = $3\pi x^3$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3}\pi r^2h$

Equating the given volumes, we get

$3\pi x^3=\frac{1}{3}\pi r^2h$

$r^2h=3$ × $3x^3$

$r^2h=9 x^3$

It is given that the height is 'x' units.

Therefore, $r^2x=9x^3$

$r^2=9x^2$

Therefore, $r=3 x$

So, the expression ' $3 x$ ' represents the radius of the cone's base in units.

3 0

1 year ago

Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

$15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0$

So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

7 0

2 years ago