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Vikki [24]
3 years ago
11

What is the measure of ∠2 if c∥d ?

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0
Since both C & D are parallel, angle 2 is a corresponding angle to the angle of 108 degrees, so angle 2 is also 108 degrees
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in a parking garage, the number of SUV's is 40 percent of the non SUV's. Gina counted 98 suv's in the parking garage. How many v
kondor19780726 [428]
You can find this answer multiple ways.

One way is to represent it as an equation and solve for x, The total number of vehicles.

0.4x = 98
x = 245 vehicles

Or write a proportion using the fraction for 40%.

2/5 = 98/x

5 x 49 = 245

There are 245 vehicles in the garage.
8 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth if necessary. Use 3.14 for it.
Korolek [52]

Answer:

452.448cm^3

Step-by-step explanation:

Given data

Height= 25cm

Diamter= 12cm

Radius= 6cm

The expression for the volume of a cone is given as

V= 1/3*πr^2h

Substitute

V= 1/3*3.142*6^2*25

V=  1/3*3.142*36*12

V=  1/3*1357.344

V=452.448cm^3

Hence the volume is 452.448cm^3

8 0
2 years ago
An object is launched from a platform.
tankabanditka [31]

Answer:

  10

Step-by-step explanation:

Ground level is where h = 0, so solve the equation ...

  h(x) = 0

  -5(x -4)^2 +180 = 0 . . . . substitute for h(x)

  (x -4)^2 = 36 . . . . . . . . . . divide by -5, add 36

  x -4 = 6 . . . . . . . . . . . . . . positive square root*

  x = 10 . . . . . . add 4

The object will hit the ground 10 seconds after launch.

_____

* The negative square root also gives an answer that satisfies the equation, but is not in the practical domain. That answer would be x = -2. The equation is only useful for time at and after the launch time: x ≥ 0.

8 0
2 years ago
A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence
belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

\mathbf{n = 5} --- the number of digits

\mathbf{r = 3} ---- the number of actions

Each of the three actions can either be:

  • <em>Pressing one button</em>
  • <em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

\mathbf{n_1 = ^5C_1}

Apply combination formula

\mathbf{n_1 = \frac{5!}{(5-1)!1!}}

\mathbf{n_1 = \frac{5!}{4!1!}}

\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}

\mathbf{n_1 = 5}

The number of ways of pressing a pair is:

\mathbf{n_2 = ^5C_2}

Apply combination formula

\mathbf{n_2 = \frac{5!}{(5-2)!2!}}

\mathbf{n_2 = \frac{5!}{3!2!}}

\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}

\mathbf{n_2 = 10}

So, the number of ways of performing one action is:

\mathbf{n =n_1 + n_2}

\mathbf{n =5 + 10}

\mathbf{n =15}

For the three actions, the number of ways is:

\mathbf{Action = n^3}

\mathbf{Action = 15^3}

\mathbf{Action = 3375}

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0
2 years ago
Plssss help meeee!!!
pogonyaev
The answer is c b/c you multiply
3 0
2 years ago
Read 2 more answers
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