The expression 4x/5-2x/3 is equivalent to

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Answer:

Step-by-step explanation:

If AS is an angle bisector, then angle XAS is congruent to angle PAS; mathematically, that looks like this:

3x + 15 = 2x + 30 and x = 15.

3(15) + 15 = angle XAP, which is 120.

Because angle XAS is congruent to angle PAS, then the sides across from those congruent angles also should be congruent. Let's check it, just to make sure:

XS = PS --> 2(15) + 9 = 39 and 4(15) - 21 = 39. So that checks out. Because AS is congruent to itself by the reflexive property, then what this means is that triangle XAS is congruent to triangle PAS, making angle x and P the same measure. Looking at the whole big triangle, triangle XAP, if angle XAP measures 120, then angle X = angle P = (180 - 120) / 2, so angle X = 30.

See my answer sreenshot.

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol

Answer:

Step-by-step explanation:

The vertex is always at the highest point of the parabola or the lowest point, depending upon which way it opens. Ours opens upwards, so the vertex is a min (aka, it's at the lowest point). That lowest point is located at (-1, 3), choice B.

Answer:

(-29,-27.4)

Step-by-step explanation:

2p+59=1

     -59 -59

2p=-58

/2     /2

p=-29

5p+139=2

     -139 -139

5p=-137

/5      /5

p=-27.4

Answer:

-16

Step-by-step explanation:

Substitute the values into the equation

[tex] = \frac{ ({ - 12 + 4}^{2}) }{ - 4} \\ = \frac{ {( - 8)}^{2} }{4} \\ = \frac{64}{4} \\ = - 16[/tex]

Answer:

∠ MLK = 34°

Step-by-step explanation:

The tangent- secant angle MLK is half the difference of the measures of the intercepted arcs, that is

∠ MLK = [tex]\frac{1}{2}[/tex] (129 - 61)° = 0.5 × 68° = 34°

If the function f(x) is f(x) = x², then the function g(x) will be g(x) = x² +11. Then the correct option is C.

The complete question is attached below.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

If the function get shifted upward, then the constant is added in the function.

If the function f(x) is f(x) = x², then the function g(x) will be g(x) = x² +11.

Then the correct option is C.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !

Answer:

angle 1=94 degree

Step-by-step explanation:

-x + 106=5x + 34 (they are alternate interior angles)

106-34=5x+x

72=6x

72/6=x

12=x

substitute the value of x in 5x + 34

5*12 + 34

60+34

94

Now,

angle 1 =5x +134 ( they are vertically opposite angles)

angle 1=94 degree

Answer:

ANGLE 1= -X+106

ANGLE 1= 5X+34

5X+34. =-X+106

5X+X. =106-34

6x=72

X=12

angle 1= 5x+34

=(5×12)+34

=60+34

=94

Answer: 6y is your answer

Step-by-step explanation:

[tex] \sqrt{36 {y}^{2} } [/tex]

[tex] = 6y[/tex]

Because √36=6

and,√y²= y

Answer:

58988

Step-by-step explanation:

3556+55432

=58988

Answer:

45

Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.

9

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

Answer:

10h + 30 = 100

Step-by-step explanation:

10h + 30 = 100

Answer:

140$

Step-by-step explanation:

So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Answer:

10 students

Step-by-step explanation:

The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10

Answer:

8

Step-by-step explanation:

[tex]slope = \frac{w - 2}{0 - ( - 1)} \\ \\ \therefore \: 6 = \frac{w - 2}{0 + 1} \\ \\ \therefore \: 6 = \frac{w - 2}{1} \\ \\ \therefore \:w - 2 = 6 \\ \\ \therefore \:w = 6 + 2 \\ \\ \therefore \:w = 8\\ \\ [/tex]

Answer:

<1 and <3 are vertical angles

Step-by-step explanation:

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

<1 and <3 are vertical angles

<2 and <4 are vertical angles

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Answer:

The least amount of time (in hours) both pumps need to be open is 3 hours.

Step-by-step explanation:

According to the Question,

Let the Capacity of the Pool is 36Litre.

If the pool needs to be filled in 10 hours the least amount of time (in hours) both pumps need to be open is 3 hours.

Note:- if 3 hour both pipe open so 3 x (5) = 15 ltr Pool is Filled.

Now For Remaining 7 hour Pipe A with Efficiency 3 ltr/hour is open alone to fill the pool Remaining 7 x 3 = 21 ltr . Total 21+15 = 36ltr .

Answer:

A. 1 7/10x+2 1/2y+6

B. 7/10x+2 1/2y+6

C. 7/10x+8 1/2y+6

D. 1 7/10x+4 1/4y+3