Help please! :) -Substitution Method-

Answer:

150 degrees

Step-by-step explanation:

Hi,

Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.

30 + u = 180

Subtract 30 from 180 to find the value of u.

u is 150 degrees.

I hope this helps :)

Answer: 150 degrees

Step-by-step explanation:

A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc

Answer:

The answer is C.[1,0]

Step-by-step explanation:

HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

The midpoint is the middle of a line projecting from one end to another.

Given the parallelogram HIJK with the coordinate points

H(-2,2), I(4,3), J (4, -2), and K (-2, -3)

The diagonals are HJ and IK.

Determine the midpoint

M(x, y) = [(-2+4)/2, (2-2)/2]

M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)

This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

Learn more on midpoint of coordinates here: https://brainly.com/question/18315903

Answer:

a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

b) [tex]y = 2x - \frac{1}{2}[/tex]

These two paths are not perpendicular to each other.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope of the line and b is the y-intercept.

If two lines are perpendicular, the multiplication of their slopes is -1.

(a) the engineering lab and the computer center

Coordinates (3.5,-1.5) and (0.5,0.5)

The slope is given by the change in y divided by the change in x.

Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2

Change in x: 0.5 - 3.5 = -3

Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

Now, to find the y-intercept, we replace one of these points into the equation.

(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]

[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]

[tex]b = \frac{5}{6}[/tex]

So

[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

(b) the engineering lab with the library.

(0.5,0.5) and (-1,-2.5).

First, we find the slope:

Change in y:-2.5 - 0.5 = -3

Change in x: -1 - 0.5 = -1.5

The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]

So [tex]y = 2x + b[/tex]

Now we find b

[tex]y = 2x + b[/tex]

[tex]0.5 = 2(0.5) + b[/tex]

[tex]b = -0.5 = -\frac{1}{2}[/tex]

So

[tex]y = 2x - \frac{1}{2}[/tex]

The multiplication of their slopes, is

[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]

Since it is different of one, these paths are not perpendicular to each other.

Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :)

Answer:

217.5

Step-by-step explanation:

Answer:

The answer is 2700 i think

Step-by-step explanation:

Answer:

$63.20

Step-by-step explanation:

first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.

79•0.2= 15.8

so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price

$79-$15.8= $63.20

hope this helps chu <3

Answer:

(1) 5.23599

(2) 0.314159

(3) 1.8326

Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

88.5

Step-by-step explanation:

formula = ab ×(sin∅)/2

= 18×12 × (sin 55)/2

= 88.5

Answer:

.52¢

Step-by-step explanation:

One apple cost 52 cents. The expression below represents the cost of an apple.

5a =2.60

5a/5= 2.60/5

a =0.52

Answer:

Each apple costs $0.52.

Step-by-step explanation:

Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.

To find this: total cost/total apples

2.60/5 = 0.52

Each apple costs $0.52.

Let's check our answer.

If one apples costs $0.52, 5 apples should cost 0.52 • 5

0.52 • 5 = 2.60

This is how much Christ spent; therefore your answer is correct.

Hope this helps!

Answer:

Step-by-step explanation:

To factorise

3x² - 6x

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

Answer:

2√3

Step-by-step explanation:

Given the following information,

Long = 3 = Adjacent

Angle of elevation =30 degrees

Required

Hypotenuse

Using SOH CAH TOA identity

Cos theta = adj/hyp

Cos 30 = 3/hyp

hyp = 3/cos30

hyp = 3/√3/2

hyp = 3* 2/√3

hyp = 6/√3

hyp = 6/√3 * √3/√3

hyp = 6√3/3

hyp = 2√3

Hence the hypotenuse is 2√3

Answer:

2v3

Step-by-step explanation:

Answer:

15

15 when added to it's square gives 240

Answer:

C, 10h + 0.15s

Step-by-step explanation:

he earns 10 dollars per hour so 10h

he earns 15% or .15 per sale so .15s

add them together to get 10h + 0.15s

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

To know more about Permutation and Combination

https://brainly.com/question/13387529

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Answer:

19 is the answer .......explanation is in image.

Answer:

pentagon

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

The value of the trigonometric ratios have been determined.

In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.

The side length of the triangle as given in the figure is 18 , 24 , 30

The value of the trigonometric ratios are

cos θ = Base / Hypotenuse

sin θ =  Perpendicular / hypotenuse

tan θ =  Perpendicular / Base

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Therefore the value of the trigonometric ratios have been determined.

To know more about Trigonometric Ratios

https://brainly.com/question/13724581

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Answer:

Hellou our answer is 2/3

Step-by-step explanation:

5/8 ÷ 15/16 = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

[tex]x \leqslant - \frac{1}{2} [/tex]

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

Answer:

14,96

Step-by-step explanation:

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

Answer:

Step-by-step explanation:

Answer:

oo nvjfdifhdkvcbjkggnnvv

Step-by-step explanation:

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