The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

Answer:

No. of children Frequency

0. 5

1. 7

2. 11

3. 5

4. 6

5 3

6 3

Answer:

See below.

Step-by-step explanation:

1.) 5√6

2.) 6√2

3.) 3√7

To solve this without the use of a calculator, split the given number into a series of products (numbers multiplied) and look for pairs.

Look at the attached example of Problem 1 to get a better idea of what I mean.

Both vertex angles will be same as its an isosceles triangle

Let each be x

According to angle sum property

[tex]\\ \sf \longmapsto x+x+50=180[/tex]

[tex]\\ \sf \longmapsto 2x+50=180[/tex]

[tex]\\ \sf \longmapsto 2x=180-50[/tex]

[tex]\\ \sf \longmapsto 2x=130[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{130}{2}[/tex]

[tex]\\ \sf \longmapsto x=60°[/tex]

I can only give you the answer

Answer:

Hello,

Answer A

Step-by-step explanation:

See jointed file:  Methode du compagnon

Answer:

big area/small area = (big length/small length)^2

24/small area = (6/3)^2

24/sa = 4

sa= 6

Answer:

q = -2

Step-by-step explanation:

-18q + 10q + 16q - 3 = -19

~Combine like terms

8q - 3 = -19

~Add 3 to both sides

8q = -16

~Divide 8 to both sides

q = -2

Best of Luck!

Answer:

It is 9.5

Step-by-step explanation:

[tex] = (89.3 \times 0.51 )\div 4.8[/tex]

first solve the bracket:

[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]

Answer:

.1273 mi = 627.2 feet

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

.4 = 2[tex]\pi[/tex]r

r = [tex]\frac{.4}{2\pi }[/tex]

r = [tex]\frac{.2}{\pi }[/tex]

d = [tex]\frac{.4}{\pi }[/tex]

d = .1273 mi = 627.2 feet

Step-by-step explanation:

Answer: x = 2

Step-by-step explanation:

Given

(1/4) (8x + 12) - 4x = -1

Expand parentheses

(1/4) (8x) + (1/4) (12) - 4x = -1

2x + 3 - 4x = -1

Combine like terms

-2x + 3 = -1

Subtract 3 on both sides

-2x + 3 - 3 = -1 - 3

-2x = -4

Divide -2 on both sides

-2x / -2 = -4 / -2

x = 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=2

Step-by-step explanation:

Hope this helps

Answer:

Sometimes true.

Step-by-step explanation:

If I is not the midpoint of HJ, then it may lie any where on the line HJ and may not lie on HJ.

So, sometime i.e when I lies on HJ, H , I and J are collinear

50 m

Step One: Every rectangle, opposite side are equal sides.

Area=2, the area of this rectangle is 2*(l+b).

Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:

50 meters.

I hope I've helped!

Answer:  2 goes in the box

The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing [tex]y \le 2[/tex]. So y can be 2 or it can be smaller than 2.

9514 1404 393

Answer:

  33 11/16 m² = 33.6875 m²

Step-by-step explanation:

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the height. Solving for B, we find ...

  B = V/h

  B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]

Answer:

here's your answer .Hope you will understand it.

Answer:

9

Step-by-step explanation:

hope it will help good day.

Answer:

Step-by-step explanation:

[tex]\frac{9}{11}=0 .818181....[/tex]

     __  

= 0.81

Answer:

Step-by-step explanation:

Answer:

y=x-7

Step-by-step explanation:

Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7

Answer:

[tex]\huge\boxed{\sf \left[\begin{array}{ccc}-9&0&3\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\sf = \left[\begin{array}{ccc}-6&-2&2\end{array}\right] + \left[\begin{array}{ccc}-3&2&1\end{array}\right] \\\\= \left[\begin{array}{ccc}-6+(-3)&-2+2&2+1\end{array}\right] \\\\= \left[\begin{array}{ccc}-6-3&0&3\end{array}\right] \\\\= \left[\begin{array}{ccc}-9&0&3\end{array}\right] \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

               =7^3-3(7)=343-21=322

Notice that

(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9

… = sin²(θ) + cos²(θ)

… = 1

Solve for y in terms of x :

(x - 1)²/4 + (y + 2)²/9 = 1

(y + 2)²/9 = 1 - (x - 1)²/4

(y + 2)² = 9 - 9/4 (x - 1)²

y + 2 = ± √(9 - 9/4 (x - 1)²)

y + 2 = ± 3/2 √(4 - (x - 1)²)

y = -2 ± 3/2 √(4 - (x - 1)²)

In order for the square root to be defined, one needs

4 - (x - 1)² ≥ 0

(x - 1)² ≤ 4

-2 ≤ x - 1 ≤ 2

-1 ≤ x ≤ 3

so x must belong to the interval [-1, 3].

Answer:

[tex](x+6)(x-6)[/tex]

Step-by-step explanation:

Hi there!

The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].

We're given:

[tex]x^2-36[/tex]

This can be rewritten since 36 is a perfect square:

[tex]=x^2-6^2[/tex]

Use the difference of squares theorem:

[tex]=(x+6)(x-6)[/tex]

I hope this helps!

Answer:

(x-6)(x+6)

Step-by-step explanation:

x^2 -36

Rewriting

x^2 - 6^2

We know a^2 - b^2 = (a-b)(a+b)

(x-6)(x+6)

Answer:

2304 cubic inches

Step-by-step explanation:

Volume = Width x length x height

Green cube:

[tex]12*12*6=864[/tex]

Blue cube:

[tex]10*18*8=1440[/tex]

Add them together:

[tex]1440+864=2304[/tex]

Answer:

162/9 = 18 minutes

Step-by-step explanation:

Answer:

[tex] \sqrt{ - 147} = \sqrt{147} \times \sqrt{ - 1} = 7i \sqrt{3} [/tex]

I hope I helped you ^_^

The answer ; √ –108 = √108 × √–1 = 6i √3

9514 1404 393

Answer:

  a) $554

  b) y = 138.50x

  c) see attached

Step-by-step explanation:

a) The cost is the product of the number of hours and the cost per hour.

  cost = (4 h)($138.50 /h) = $554.00 . . . . for a 4-hour course

__

b) As above, the cost (y) is the product of the number of hours (x) and the cost per hour ($138.50).

  y = 138.50x . . . . tuition for x credit hours.

__

c) As in part (b), the tuition is hours times 138.50. That means hours are tuition divided by 138.50.

Answer:

The answer is below

Step-by-step explanation:

There are multiply answers, I am pretty these are the answers

7.55

7.56

7.57

7.58

7.59

Step-by-step explanation:

The decimal can be from 7.55-7.64

When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6

Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6

And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too

please click thanks and mark brainliest if you like :)