The vertices of a square ABCD are labelled anti-clockwise. A and C are the vertices of an equilateral triangle AEC, whose vertices are also labelled anti-clockwise

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

(x + 7) (7) = (15 + 6) (6)

7x + 49 = (21) (6)

7x + 49 = 126

7x = 77

x = 11

Hope this helps!

Answer:

1 /320 inches

Step-by-step explanation:

thickness of each card

7/8 ÷ 280

7/8 x 1/280 = 1/320 in

Answer:

1200ft^3

Step-by-step explanation:

30 x 20 x 2= 1200^3

Answer: b=8 m=2

Step-by-step explanation: when x is 0 y=8 so that gives you the y-intercept. When you subtract 8-6 its 2 which is over 2 which is 2

Answer: y = -2x + 4

Step-by-step explanation:

First, you can find b (the y-intercept) from the coodinates. Where y=0, x=4. This is your y intercept (b).

To find the slope (m), take two points from the graph:

Let's use (2,4) and (3,2). Next, find the difference in the x and y values.

Difference in Y = 4-2 = 2

Difference in X = 2 - 3 = -1

Now we can find the slope by dividing the difference in y values by the difference in x values:

2/-1 = -2 (m = -2)

Now plug the values for b and m into your equation.

y = -2x + 4

Answer:

3n meble

3n - 3 meble pozostały

Step-by-step explanation:

n stoły

2n - 3 krzesła

n + 2n = 3n

32

22+10=32yd ...............

Answer:

The answer is 32. Sorry need the points.

Answer:

54 ft

Step-by-step explanation:

Add all the side lengths ; 18+18+18 = 54.

Answer:

4 and 1/2 hours or 270 minutes

Step-by-step explanation:

Each student spend 30 minutes to set up the puppet show.

+30

They spent twice as long to put everything away.

+30 +30

Current total: 90 minutes

The show was open for three hours

+180 (60 minutes in an hour x 3 hours)

Current total: 270

Total: 270 minutes

OR

Divide 270 by 60 minutes in an hour, which would be 4.5 hours.

Answer: 1 hour and 30

Step-by-step explanation:

First, you multiply 30 minutes x2 and get 60. 60 minutes is an hour so now you have an hour. Then you add 30 minutes to that and get 1 hour and 30 minutes. Then, you subtract 3 hours minus 1 hour, and 30 minutes and get 1 hour and 30 minutes.

Answer:

$12 is 3% of $400, triple the value is $1200, it would take 100 months, or 8 years

Answer:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the  height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 =  -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

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Answer:

Last option e : X=0

Step-by-step explanation:

X=0

Answer:

x = 0

Step-by-step explanation:

I got it correct on Odyssey.   : )

Answer:

cant see picture its blocked off

Step-by-step explanation:

Answer:

x=8 or x=1 1/5

Step-by-step explanation:

x-8=0   5x-6=0

x=8       5x=6

             5x/5=6/5

               x=1.2 or 1 1/5

I hope this helps! :)

Answer:

4f - 20

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

by the formula at the bottom, it would be 1/2h(b1 + b2)

so h = height and the height is 7 feet. 1/2 of 7 feet is 3.5

b1 would be 12 feet, and b2 would be 4 feet. so first let’s do the (.    )

12 + 4 = 16

now the problem is 3.5(16)

3.5 x 16 = 56

now i just went off the formula, but i think that’s right. good luck!

Answer:

56

Step-by-step explanation:

Area of a Trapezium = 1/2 × sum of parallel sides× height

= 1/2× (12+4)×7

=1/2 × 16×7

= 8×7

= 56

The probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.

To calculate the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip, we will use the formula: $P(\text{Child or Evening Trip}) = P(\text{Child}) + P(\text{Evening Trip}) - P(\text{Child and Evening Trip})$.We are given that there were 7 children on the morning trip and 24 adults on the evening trip.

Therefore, the number of children who were on the evening trip is 0. Hence, $P(\text{Evening Trip}) = 24/50 = 0.48$.

Similarly, the number of children who were not on the evening trip is 7, while the number of adults who were not on the evening trip is $50 - (7 + 24) = 19$. Hence, $P(\text{Child}) = 7/50 = 0.14$.

Since no child was on the evening trip, $P(\text{Child and Evening Trip}) = 0$.

Substituting these values in the formula above, we get: $P(\text{Child or Evening Trip}) = 0.14 + 0.48 - 0 = 0.62$

Therefore, the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.

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Answer:

sorry its 2

Step-by-step explanation:

from 11 to 13 it is 2

supplementary angles = 180°

180 - 39 = 141 °

141°

Answer:

15

Step-by-step explanation:

Answer:

5 x 3 = 15, 15 x 4 = 60

60 x 1/3(basically just dividing by 3) = 20 in3

Answer:

H) 20

Step-by-step explanation:

Formula for the volume of a rectangular pyramid:

V = (whl)/3

Given:

w = 3

h = 4

l = 5

Work:

V = (whl)/3

V = (3 × 4 × 5)/3

V = (60)/3

V = 20

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

Answer: third one ( I could be wrong )

Step-by-step explanation:

Answer:

its the 3rd one

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

an iscosolice triagle is a triangle with the sam lenghth on both sides