the measures of the angles of a triangle are shown in the figure below. solve for x

Answer:

CD = 16

Step-by-step explanation:

We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE

We are given BE, and we found the length of AB, so we can substitute and solve for AE:

AB = AE + BE

17 = AE + 2

AE = 15

Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.

Now, we can use the pythagorean theorem to find the length of CE.

a^2 + b^2 = c^2

We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:

CE^2 + AE^2 = AC^2

CE^2 + 15^2 = 17^2

CE^2 + 225 = 289

CE^2 = 64

CE = 8

Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.

Again, using segment addition postulate, we can say:

CE + DE = CD

CD = 8 + 8

CD = 16

Answer:

3 and 1/12

Step-by-step explanation:

hope this helps! :)

Answer:(d)

Step-by-step explanation:

Given

Function is [tex]f(x)=x^4[/tex]

If it is reflected about the x-axis it becomes [tex]-x^4[/tex]

To shift it 3 units to the left it becomes

[tex]-(x+3)^4[/tex]

option (d) is correct

This is shown in the figure below

Answer:

93.1%

Step-by-step explanation:

Answer:

[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex]7.05 \times 9.4 \\ = 66.27[/tex]

frl this place is boring

Answer:

Apparently the picture is pitch black so I don't understand what you need help with. Sorry.

Step-by-step explanation:

Answer:

Equation for the skating palace

= 6 + 2x

Step-by-step explanation:

Let the number of hours = x

For skating palace, the equation is written as:

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.

$6 + $2 × x

= 6 + 2x

For Mathland , the equation is written as:

Mathland skating rink charges $4.00 an hour to skate .

$4 × x

= 4x

Therefore, the equation that represents the situation on the skating palace is :

6 + 2x

Answer:

c) x ≈ −2 and x ≈ 1.67

Step-by-step explanation:

Solve 3x²+ x - 10 = 0.

We solve using Almighty formula

-b ± √b² - 4ac/2a for equation: ax² + bx + c

where a = 3, b = 1, c = -10

Hence

-1 ± √1² - 4 × 3 × -10/2 × 3

-1 ± √1 - (-120)/6

-1 ± √1 + 121/6

-1 ± √121/6

-1 ± 11/6

Hence:

-1 - 11/6

-12/6 = -2

-1 + 11/6

= 10/6

= 1.67

Therefore, x = -2, x = 1.67

Option c) x ≈ −2 and x ≈ 1.67 is the correct answer

The principal, real, root of:

[tex]\sqrt[2]{55}[/tex] =7.41619849

Answer:

Answer:

From Plants

Hope it will help you

Answer:

between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B

Step-by-step explanation:

One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.

The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.

For SHELTER A:

Median = 21

Maximum = 30

Hence, For shelter A, it is the interval between 21 and 30

For shelter B:

Median = 18

Maximum = 28

Hence, it is the interval between 18 and 28

Answer:

it's c

Step-by-step explanation:

:)

Answer:

x= -7 because when you add 60+45+82 you get 187. The interior angles of a triangle add up to 180

Step-by-step explanation:

Yes each side and each angle has a congruent corresponding part

Answer:

radius: 8.4   Area: 221.5

Step-by-step explanation:

16.8 divided by 2 = 8.4

The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14

8.4₂ multiplied by 3.14

Answer:

12 days, 72 tickets

Step-by-step explanation:

the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.

plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.

Answer:

C) 56

Step-by-step explanation:

These angles are supplementary (they add up to 180):

3x + 31 + 2x - 6 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 31

<FEG:

2x - 6

2(31) - 6

62 - 6

56

Answer:

$551.70

Step-by-step explanation:

Price before tax= $511.99

Cost of the tax= 7.75/100×511.99

= $39.679

Total cost of the camera= $511.99+$39.679

= $551.669

≈ $551.70

Answer:

gtbhytyt4ff5ddtd56cc6c6c6c6f6c66ffb

The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.

Let "T" be the final bill. Then the equation is given as,

2.5% = [(T - $28) / $28] x 100

0.025 = (T - $28) / $28

T - $28 = $0.70

T = $28.70

The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then

∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A

Answer:

4:24

Step-by-step explanation:

12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24

hope that helps!!

Answer: 1 : 6

Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .

Answer:

The third one

Step-by-step explanation:

The process would be figuring out the square root of the first and last term of each equation, after doing so, you would take that number (square root of first and last number) then you do 2(a)(b) which would be which should be the middle term. In this case 2(5)(4) = 40 which is correct.

Step-by-step explanation:

my calculator got 36x*2-18-27/4

Answer:

0.788

Step-by-step explanation:

Sin 52° = 0.788

Therefore

Cos 38° Is 0.788

The approximate value for 38° is 0.788

Answer:

pink

Step-by-step explanation:

,pink is the only logical option

Answer:

90 Square Yards

Step-by-step explanation:

To find the area of a rectangle, all you do is multiply the length by the width.

in your equation, the length is 15 and the width is 6.

And 15 x 6 = 90, so the answer is 90 Square Yards.

Answer:

no solution?

Step-by-step explanation: