find x in the given triangle ​

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

9514 1404 393

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

  60° +60° +∠1 = 180°

  ∠1 = 180° -120° = 60°

The measure of angle 1 is 60°.

All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

9x2=18

6x3=18

1x18=18

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Step-by-step explanation:

In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......

1) 52 + 122 = [tex]c^{2}[/tex]

  174 = [tex]c^{2}[/tex]

  [tex]\sqrt{174} =c[/tex]

  13.190905 ≈ c

2) 25 + 144 = [tex]c^{2}[/tex]

   169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

3) 169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

Hope this helps :)

The length of the hypotenuse 13 units.

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Given that, A right triangle has side lengths 5 inches and 12 inches.

Using Pythagoras theorem,

h = √5²+12²

h = √25+144

h = √169

h = 13

Hence, the length of the hypotenuse 13 units.

For more references on hypotenuse, click;

https://brainly.com/question/29407794

#SPJ6

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

Answer: 9=b

Step-by-step explanation:

2=b-7

Add 7 to both sides

2+7=b

9=b

Answer:

b = 9

Step-by-step explanation:

2 = b - 7

add 7 to both sides

9 = b

Answer:

I saw this hope it helps

Answer:

She can make 18 servings.

Step-by-step explanation:

We can simply multiply 3 by 6 to get the number of servings.

This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.

Answer: 2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

Step-by-step explanation:

30,360

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

Answer:

9x² + 3x³ = 3x²(3 + x)

Step-by-step explanation:

9x² + 3x³ = 3x²(3 + x)

Answer:

3x²(3 + x)

Step-by-step explanation:

9x² + 3x³

3x²(3 + x)

I hope this helps

Answer:

36 degrees

Step-by-step explanation:

So, first of all, the interior angles of any triangle add up to 180.

First, you add up all the numbers in the ratio.

13+23+9=45

180/45=4  [To find out how much each piece really equals]

So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.

4*9=36

Hope it helped, tell me if it's wrong, I'll correct it.

Answer:

36

Step-by-step explanation:

Ratio = 13 : 23 : 9

The interior angles are = 13x , 23x , 9x

13x + 23x + 9x = 180 {Angle sum property}

                45x = 180

                   x = 180/45

                  x = 4

Most acute angle = 9x = 9*4 = 36

Answer:

x= 120 degrees

Step-by-step explanation:

A straight line is 180 degrees.

meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.

80+40= 120 and since x is equal to the inner corner, x is 120.

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

Answer:

hola anyone got tacos

Step-by-step explanation:

The probability that a customer orders fries given that the customer orders hamburger is 0.75

To solve this, we make use of the following representations

So, we have:

[tex]P(A) = 40\%[/tex]

[tex]P(B) = 70\%[/tex]

[tex]P(A\ n\ B) = 30\%[/tex]

The probability that a customer orders fries given that the customer orders hamburger is calculated as:

[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]

So, we have:

[tex]P(B | A) =\frac{30\%}{40\%}[/tex]

[tex]P(B | A) =0.75[/tex]

Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75

Read more about probabilities at:

https://brainly.com/question/15246027

Answer:

f(x) = -2x + 1

Step-by-step explanation:

Answer:

55 + 14[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis

= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms

= 55 + 14[tex]\sqrt{6}[/tex]

b +cV 6 ÷12a

Step-by-step explanation:

let meknow 8i I am wrong

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

Answer:

A

Step-by-step explanation: : )

Answer:

D

Step-by-step explanation:

The answes D kiddo cuz

10 x 3 = 30 and 17 x 3 = 51

Answer:510

Step-by-step explanation:Can double check internet

Answer:

b

Step-by-step explanation:

Answer:

$3.38

Step-by-step explanation:

8/1.5=18/x

18*1.5/8

3.375

or 3.38

Hope this helps plz hit the crown :D

Answer:

18=3.38

Step-by-step explanation:

Answer:  5

Step-by-step explanation:

Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]

Given: Black triangle ( original) having perpendicular with length 4 units.  [2 blocks above and 2 boxes below the x-axis ]

Green triangle ( image) having corresponding side as 20 units  [10 blocks above and 10 boxes below the x-axis ].

Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]

Hence, the scale factor of the dilation = 5

the figure is regular quaidlater

the sum of all interior angle is 360

measure of angle = 360/4

= 90

so the exterior angle is 90 ( by linear pair)

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.