∠A and \angle B∠B are supplementary angles. If m\angle A=(2x+10)^{\circ}∠A=(2x+10) ∘ and m\angle B=(2x+2)^{\circ}∠B=(2x+2) ∘ , then find the measure of \angle A∠A.

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

Comparing this with x√3, we find x = 10.

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

if so please give me a brainlist

The rectangular prism is made up of the dimensions

Lenght = 4 cubes

Width = 2 cubes

Height = 4 cubes

The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:

[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]

Therefore, She need 32 cubes to make the prism.

Answer:

No is incorrect 4/27 is right

Step-by-step explanation:

Answer:

Value of t = 2 when value of s = 0

Value of t = 6 when value of s = 1

Value of t = 10 when value of s = 2

Value of t = 14 when value of s = 3

Step-by-step explanation:

Given Equation:

t = 4s + 2

Complete the table if values of s are as follows;

s = 0

s = 1

s = 2

s = 3

Computation:

t = 4s + 2

By putting s = 0

So,

t = 4s + 2

t = 4(0) + 2

t = 0 + 2

Value of t = 2 when value of s = 0

By putting s = 1

So,

t = 4s + 2

t = 4(1) + 2

t = 4 + 2

Value of t = 6 when value of s = 1

By putting s = 2

So,

t = 4s + 2

t = 4(2) + 2

t = 8 + 2

Value of t = 10 when value of s = 2

By putting s = 3

So,

t = 4s + 2

t = 4(3) + 2

t = 12 + 2

Value of t = 14 when value of s = 3

Answer:

23

Step-by-step explanation:

Answer:

it is 75% sheeeesh. jdjdjd

Step-by-step explanation:

3/4

Answer:

75%

Step-by-step explanation:

Let the answer be 'x'

40 × x/100 =30

40x/100 = 30

40x= 3000

x =3000÷40

x= 75

thus 30 is 75% of 40

Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Step-by-step explanation:

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

area of a circle = [tex]\pi r^{2}[/tex]

circumference =[tex]2\pi r[/tex]

Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m

we have the circumference of the inner circle which is 270.04 we can find the value of m using that

[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]

the radius of the inner circle is therefore 42.98

and the full circle has a radius off 65.02

area of shaded region = area of full circle - area of inner circle

area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]

area of shaded region = [tex]13281.39 - 5803.4[/tex]

area of shaded region = 7478 rounded off to the nearest whole number

Answer:

its 7.5 pi

Step-by-step explanation:

The length of the arc of the particle circle is equal to  23.55 units

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle

Arc length = 5×3π/2

                  = 15π/2

                  = 15×3.14 /2

                  = 23.55 units

Hence The length of the arc of the particle circle is equal to  23.55 units

Learn more about circumference of the circle here:

https://brainly.com/question/14200825

#SPJ2

Step-by-step explanation:

these are the answers of your questions

Answer #1:

x ( 3 x − 4 ) ²

Answer:

Marta spent a total of $34.29

Step-by-step explanation:

Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29

3 times $8.50 = $25.50

5 times $1.25 = $6.25

$25.50 + $6.25 = $31.75

Answer:

25.3

Step-by-step explanation:

if its just reflections, i dont think the length has changed at all,,

Answer:

8100/1800 = 4.5 days

Step-by-step explanation:

Answer:

18,24,30

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

because that the hypotenuse 30 adjacent 18 and opposite 24

Answer and Step-by-step explanation:

The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.

180 = x + 4 + 68 + x

Simplify.

180 = 2x + 72

Subtract 72 from both sides of the equation.

108 = 2x

Divide each side by 2.

x = 54

The angles of the triangle are:

Angle S = 54

Angle U = 58

Angle T = 68

#teamtrees #PAW (Plant And Water)

The table is linear because it goes up at a consistent rate each time.

Answer:

Row ships

Step-by-step explanation:

They helped because a lot of travel took place on the Mediterranean Sea which was a massive body of water that led to the coasts of trading locations.

Answer:

it looks dead ..............

Answer:

4,7,10,13,16

Step-by-step explanation:

I sub

Answer:

x=9 and x=-5

Step-by-step explanation:

x^2-4x-45=0

(×-9)(x+5)=0

x=9 and x=-5

Answer:

1. C,D

2. B,C,D

3. E

4.D

5.A,B,C,D

6.D

7.C,D

8.E

Step-by-step explanation:

Hope this helps ;)

hi thats confusingAnswer:

Step-by-step explanation:

h

Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]

Answer:

x = 57.2

Step-by-step explanation:

Equation:

32.8 + x = 90

x = 90 - 32.8

x = 57.2