Solve for x. Each figure is a parallelogram.

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:

[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:

(-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:

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:

y = 1/4x - 2

Step-by-step explanation:

y = 1/4x + b

-1 = 1/4(4) + b

-1 = 1 + b

-2 = b

Answer:

Area = 1500 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 [tex]cm^{2}[/tex]

The answer is in the picture. Click on it

The value of "m" if m% of it is 49 will be 70.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

WE need to find the value of "m" if m% of it is 49.

We have been an expression as;

m x m% = 49.

Solving further;

m x m/100 = 49.

m² / 100 = 49

Now, Cross multiplication;

m² / 100 = 49

m² = 4900

On taking square root;

m = √4900

m = 70

Therefore, the value of "m" if m% of it is 49 will be 70.

Learn more about multiplications;

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Step-by-step explanation:

x=y=75°

y+30=z

105=z

!!!!!!!!!!

Answer:

x = 75 degree , y = 75 degree , z = 105 degree

Step-by-step explanation:

x = 75 degree (being corresponding angles)

x=y (being corresponding angles)

75 = y

substituting the value

y + 30

75 + 30

105 degree

z = y + 30 (being corresponding angles)

z = 105 degree

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

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.

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Answer:

x>6

Step-by-step explanation:

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:

maybe you should add the question and someone could help you out

Step-by-step explanation:

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Answer:

45

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

9

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol

Step-by-step explanation:

a) Mount Logan, in southwestern Yukon, is 5959 m tall.

b) The diameter of an apple is 6.4 cm.

c) The largest brown bear, the Kodiak, is 2.44m in length.

The reason is that we need to use appropriate estimation method and approximation to present a meaningful figures in our life. Take the size of the apple as an example, we won't care it is one mm bigger or smaller.

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:

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:

58988

Step-by-step explanation:

3556+55432

=58988

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:

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:

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

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.

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°

Answer:

D

Step-by-step explanation:

i upload the image sorry i don't know how to explain i just search it

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:

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.