Each face of a pyramid is an isosceles triangle with a 72 degree vertex angle. What are the measures of the base​ angles?

Answer:

X=7

take the -21 to the other side of the equation, when you do this it goes from a negative to a positive so we now have 63+21=12x

if we add 63 and 12 we get 84 decide by 12 because we have 12x and we get 7

Answer:

Step-by-step explanation:

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

The area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of the angle of the sector and the radius of the circle. It can be given as,

[tex]A_s=\dfrac{r^2\theta}{2}[/tex]

Here, (r) is the radius of the circle and θ is the angle of the sector. Multiply with π/180 to convert it into the degrees.

[tex]A_s=\dfrac{r^2\theta}{2}\left(\dfrac{\pi}{180}\right)\\A_s={\pi r^2}\left(\dfrac{\theta}{360}\right)[/tex]

Thus, the option D is correct. Now, πr² is the area of circle . Thus,

[tex]\rm \text{Area of sector}=\dfrac{(Area\; of \;Circle)(Arc\; Measure)}{360^o}\\\rm \dfrac{(Area\; of \;Sector)}{(Arc\; Measure)}=\dfrac{\text{Area of sector}}{360^o}[/tex]

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

Learn more about the area of a circular sector here;

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Answer:

660 square feet

Step-by-step explanation:

1 chain = 66 feet

Length ( l ) = 66 feet

Breadth ( b ) = 10 feet

To find :

The area of a cricket pitch in square feet = ?

The area of a cricket pitch in square feet will be in the shape of rectangle.

Formula : -

Area of a rectangle = lb

Area of a rectangle

= 66 x 10

= 660 square feet

Therefore,

660 square feet is the area of a cricket pitch.

Answer:

660

Step-by-step explanation:

I chain = 22 * 3 so to find the area we have to do (22*3) * 10 = 660

Hope this solved your question!

Answer:

X=16°

Y=121°‌

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Answer:

18h - 3hk

Step-by-step explanation:

2h(6 - k)

= 2h(6) + 2h(-k)

= 12h + -2hk

= 12h - 2hk

Hope this helps!

Answer:

A, w=12

Step-by-step explanation:

Answer: x is equal to 4

Step-by-step explanation:

A triangle's angles sums up to 180°. So we already know that the three angles in this triangle add up to 180°. The equation would be as following.

(18x - 12) + 15x + (10x + 20) = 180

We first add like terms together.

43x + 8 = 180

We then substract 8 on both sides.

43x = 172

We finally divide 43 on both sides.

x = 4

For a normal distribution with mean 54 and standard deviation 5 95.4% of them fall between 44 and 64

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=54,standard \ deviation (\sigma)=5\\\\For\ x=44:\\\\z=\frac{44-54}{5}=-2\\\\For\ x=64:\\\\z=\frac{64-54}{5}=2[/tex]

Therefore., from the normal distribution table:

P(44<x<64) = P(-2< z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Hence, About 95.4% of them fall between 44 and 64.

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Answer:

-5/6

Step-by-step explanation:

yeah ya..... right?

Answer:

8/75

Step-by-step explanation:

Ratio:

32:300

Fraction:

32/300

Simplest form(divide the numerator and the denominator by 4)

Answer: 8/75

Answer:

Solution :

Let the measure of the supplementary angles be 11x and 25x

According to the question :

[tex] \tt \: 11x + 25x = 180 {}^{ \circ} \\ \\ \\ \tt \dashrightarrow \: 36x = 180 {}^{ \circ} \\ \\ \\ \tt \dashrightarrow x = \frac{180{}^{ \circ} }{36} \\ \\ \\ \: \: \: \: \: \: \: \dashrightarrow \: { \underline{ \boxed{ \mathfrak{ \pmb{ \purple{x = 5}}}}}} \: \: \pink{\bigstar} \\ \\ [/tex]

So the required angles are :

Answer:

x/20=15/12,so x =25

Step-by-step explanation:

Answer:

x = 16 or [tex]\frac{-8 + x}{4} = 2[/tex]

Step-by-step explanation:

let's start from the beginning and move along!

[tex]\frac{-8 + x}{4}[/tex] = 2

to solve this...

1) multiply both sides by four to get rid of the fraction

[tex](4)\frac{-8 + x}{4} = 2(4)[/tex] ------> -8 + x = 8

2) add 8 to both sides to isolate x ----> x = 16

Answer:

375 feet

Step-by-step explanation:

1 yard = 3 feet

125 yards times 3 equals 375 feet

Answer:

2.4

Step-by-step explanation:

Brainliest pls?

$474

..................

Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!

Step-by-step explanation:

- factorise using AC method

AC= 3 x 2 = 6

find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)

- put them as x in the equation to replace 5x

3x^2 + 2x + 3x + 2

- split the equation in half and expand each side

3x^2+2x | 3x+2

x(3x+2)+1(3x+2)

- put the numbers outside the brackets into a separate bracket

= (x+1)(3x+2)

Answer:

a = -2b + 3c

Step-by-step explanation:

Step 1: Subtract 2b from both sides.

Therefore, the answer is a = -2b + 3c.

Answer:

=21 + 3x

Step-by-step explanation:

use distributive property

=3(7 + x)

=21 + 3x

A cyclist rides 5.0km due east, then 10.0km20° west of north. From this point she rides 8.0km .

Answer:

The EOP has a ton of responibilities for tasks ranging from communicating the President's message to the American people to promoting our trade interests abroad. The EOP is overseen by the White House Chief of Staff and has traditionally been home to many of the President's closest advisers.

Answer:

1 remainder 24

Step-by-step explanation:

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