AB intersects CD at point E. What is the value of X in degrees?​

Answer:

A. 60 + x = 90

Step-by-step explanation:

Complementary angles add up to 90 degrees so

60 + x = 90

Answer:

The answer is A: 60 + x = 90

Step-by-step explanation:

Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

Answer:

V= 5224.96

Step-by-step explanation:

To find the volume for a cylinder, you need to use the formula

V=(pi)r^2h.

The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.

16/2 = 8.

Now we plug in the numbers and solve.

V= (pi) 8^2(26)

V= (pi)(64)(26)

V=(pi)(1664)

V= 5224.96

Answer:

51.5?

Step-by-step explanation:

I think it's just length times width divided by 2

The area of the kite ABCD is 51.56 square yards.

A kite's area is the amount of space enclosed or surrounded by a kite in a two-dimensional plane.

A kite's area equals half the product of its diagonal lengths. The formula for calculating a kite's area is:

Area = 1/2 × d₁ × d₂

Where d₁ and d₂ are long and short diagonals of a kite.

Here, AC = 12.5 yards and BD = 8.25 yards

Substitute the values of d₁ = 12.5 yards and d₂ in the formula of the kite's area:

The area of the kite = 1/2 × 12.5 × 8.25

The area of the kite = 51.5625

The area of the kite ≈ 51.56 square yards

Thus, the area of the kite ABCD is 51.56 square yards.

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Answer:

The first term is 10.

The second term is 16

The third term is 22.

We can see that the first term plus 6, is:

10 + 6 = 16

Then the first term plus 6 is equal to the second term.

And the second term plus 6 is:

16 + 6 = 22

Then the second term plus 6 is equal to the third term.

A) As we already found, the recursive rule is:

Aₙ = Aₙ₋₁ + 6

B) The explicit rule is:

Aₙ = A₁ + (n - 1)*6

Such that A1 is the first term, in this case A₁ = 10

Then:

Aₙ = 10 + (n - 1)*6

C)

Now we want to find A₅, then:

A₅ = 10 + (5 - 1)*6 = 34

There are 34 chairs in row 5.

D)

Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:

C = A₀ + A₁ + ... + A₁₆

This summation can be written as:

∑ 10 + (n - 1)*6        such that n goes from 0 to 16.

The formula  for the sum of the first N terms of a sum like this is:

S(N) = (N)*(A₁ + Aₙ)/2

Then the sum of the 17 rows gives:

S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.

There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.

A rule defined such that its definition includes itself.

Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.

For this case, we're provided that:

Seats in rows are 10 in front, 16 in second, 22 in third, and so on.

10 , 16 , 22 , .....

16 - 10 = 6

22 - 16 = 6

...

So consecutive difference is 6

If we take [tex]T_i[/tex] as ith term of the series then:

[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]

Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]

From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]

Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]

For 5th row, putting n = 5 gives us:

[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]

If the auditorium has 17 rows, then total chairs are:

[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]

(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )

Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].

Learn more about recursive rule and explicit rule here:
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Answer:

Step-by-step explanation:

1) a + a

2) 2n+4 = 6n

3)   1

4n = 4

n = 1

Answer:

She rented the table for 6 months

Answer:100 - 550= 440 than 75 x 12 is 900 so she will need 460 dollars left to completely rent the table.

Step-by-step explanation:

Answer:

Yes, that is correct.

Step-by-step explanation:

Answer:

a) 64° each

b) 15.78 cm

c) 51.78 cm

Step-by-step explanation:

a) (180 - 52)/2 = 64°

b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm

c) 18 + 18 + 15.78 = 51.78 cm

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

Answer:

84500 is the correct answer

Answer:

40182 delta math

Step-by-step explanation:

Answer:

y = 1.50x + 4 ;

Step-by-step explanation:

Given that bike rental cost $4 plus $1.50 per hour

From the information given, the change in y per unit change in x is the value of the slope ;

Therefore, Given that total cost = y and x) number of hours

Change in cost per change in number of hours) 1.50 = slope ; intercept = constant = $4

The equation, in slope intercept form :

y = mx + c

y = 1.50x + 4

Answer:

[tex] x^2 [/tex]

Step-by-step explanation:

[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]

Answer: [tex] x^2 [/tex]

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

Answer:

Step-by-step explanation:

Answer:

1. B

2. J

3. C

4. F

5. C

6. J (I think, Sorry if u get it wrong)

Step-by-step explanation:

Thank me later lol.

Answer:

Step-by-step explanation:

ps. you can use m a t h w a y  and check

it's spaced out cuz it doesn't let me write it well

Late answer, but whatever.

Answer:

36. There are 36 students in the class.

Step-by-step explanation:

4/12 oatmeal

2/12 cinnamon

3/12 chocolate

9 peanut

The fractions added together = 9/12

This means the 9 students = 3/12 of the class

3 x 4 = 12

9 x 4 = 36

Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²

Answer:

B

Step-by-step explanation:

the notation answer would also be 3.246 × 10-4 i believe :)

Step-by-step explanation:

mad = 98 + 92 + 96 + 97 + 97 / 5

= 480/5

= 96

mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5

= 2 + (-4) + 0 + 1 + 1 / 5

=0/5

mad = 0

brainliest is appreciated

Answer:

1.6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

98+92+96+97+97=480

480/5 values=96 is the mean or average of the set of numbers

so we just find the absolute value of the data value minus the mean.

For the first one it would be |98-96|=2

then continue on and get a set of values

{2,4,0,1,1}

now find the average of that to get the mean absolute deviation

2+4+0+1+1=8

8/5 values

1.6

Hope that helps :)

Answer:

A

Step-by-step explanation:

(6,4)

3x-1y=14

-y= 3x-14

y=-2x+16

sub in first equation

3x-14 =-2x+16

3x+2x= 16 +14

5x = 30

x = 6

plug in x

y=-2x+16

y = -2(6)+16

y = 4

(6,4)

Answer: 1.7

Step-by-step explanation: We can use the pythagorean theorem!

A² + B² = C²

1² + B² = 2²

1 + B² = 4

4 - 1 = B²

3 = B²

√3 = B

1.7 = B

Hope this helps :)

Answer:

Convert the decimal to a percentage by multiplying the decimal by  

100 .

500%

700%

900%

400%

Answer: the answer is 6.06%, however if it is rounded it's 6.0%

Step-by-step explanation: