Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9

[tex]\\ \sf\longmapsto 3+2!2![/tex]

[tex]\\ \sf\longmapsto 3+2(2)[/tex]

[tex]\\ \sf\longmapsto 3+4[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

[tex] \: \: \: \: \: [/tex]

[tex]⟹7[/tex]

Step-by-step explanation:

[tex]3 + (2! \times 2!)[/tex]

[tex]3 + (2 \times 2)[/tex]

[tex]3 + 4[/tex]

[tex]⟹7[/tex]

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

X = 2/3 and Y = 3

Step-by-step explanation:

Matrix: 3 -1 -1

-3 5 13

Main determinant:

| 3 -1 |

| -3 5| = 12

Dx: |-1 -1|

|13. 5| = 8

X = 8/12 = 2/3

Determinant y:

|3 -1|

|-3 13| = 36

Y = 36/12 = 3

When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.

When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.

The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.

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Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

Answer:

In an hour, Alex can wash 14 windows.

Step-by-step explanation:

10 1/2 windows per 3/4 hour

per usually means a / sign because you are finding the unit rate

10.5/0.75 (I just converted everything into a fraction to make it easier)

solve:

10.5/0.75 = 14

Another way to solve:

10 1/2 / 3/4

= 21/2 * 4/3

= 21*4/2*3

= 84/6

= 14

Check:

If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour

14*3/4

=42/4

=10.5

10.5 is the same as 10 1/2

Answer:  See below.

Step-by-step explanation:

We'll assume the top and bottom lines are parallel.  That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line.  The sum of angles 1 and 2 is also 90°.  The interior angles of a triangle must add to 180°. So far we have two:  90° and 60°.  The third must therefore be 30°(angle 2).  Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other.  Angle 1 must be (90°- angle 2), which makes it 60°.  

1.  60°

2. 30°

3.  120°

4.  60°

5.  90°

Explanation:

Statement . . . . Reason

1. AE ≅ CE, AB  CD, E is the midpoint of BD . . . . Given

2. BE ≅ DE . . . . definition of midpoint

3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.

Comprehension

We can start to solve this problem by looking at it.

We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).

That means that 30+3x=90.

We can now begin solving.

Solving

We can start solving by setting up an equation.

[tex]30+3x=90[/tex]

We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.

[tex]3x=60\\x=20[/tex]

We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.

[tex]30+3(20)=90?\\30+60=90?\\90=90[/tex]

Therefore the answer is x=20 degrees

Cheers!

Answer:

Step-by-step explanation:

Speed and time are inverse functions.

At normal speed the time is 10 hours.

If the speed is 2.5 times faster, then time is 2.5 times less:

Speed is 2.5

Distance is 10

Time

Answer:

sorry bro I don't understand your language

Answer:

#1 is A   #2 is C   #3 is D   #4 is D   #5 is D   #6 is A

Step-by-step explanation:

I might be wrong for number 5 or the others but hope this works for you.

:)

Answer:

I don't know sorry I haven't studied this at all I am in 7th grade only so

Answer:

1 1 0 0 1 1 (base 2)

Step-by-step explanation:

Do it as a common sum operation, remember that when you have 2 or more you need to carry over.

Answer:

po 989r9  vcmc cohol,j

Step-by-step explanation:

Answer:

Median: 9

Mode: 10

Range: 4

Step-by-step explanation:

Median

Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9

Mode

it's the number that occurs the most number of times, which is 10.

Range

Range is 10-6, so it's 4.

A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean, median and range of the given data set 6, 8, 10, 10 is,

Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.

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Step-by-step explanation:

16x²y⁵16x²y⁵ is the answer

Answer:

2 1/4 ×9

= 9/4 ×9

= 81/4

= 20 1/4

Step-by-step explanation:

81/4/9

= 81/4 × 1/9 (Reciprocal)

= 9/4 pounds  

= 2 1/4 pounds

Answer:

11/12 lb

Step-by-step explanation:

I think you mean 8 1/4 lb.

(8 1/4)/9 = 33/4 × 1/9 = 33/36 = 11/12

Answer: Each pie weight 11/12 lb.

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

Answer:

if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4

Answer:

11.0833333

5 1/4

5.83

11.08

Answer:

11.08

Step-by-step explanation:

Because the 3’s are repeating we don’t need to put all of them

Answer:

Than the other one is a good idea for the angle measured

Measures of angles 3 and 6 is 60°

Parallel lines are those straight lines that are always the same distance apart from each other.

Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)

Since m ║ n then

m ∠ 3 = m ∠ 6

(7x-10) = (5x+10)

2x = 20

x = 10

m ∠ 3 = 7x-10 = 7*10 - 10 = 60°

m ∠ 6 = (5x+10) = 5*10 + 10 = 60°

Hence, Measures of angles 3 and 6 is 60°

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Answer:

16.95

Step-by-step explanation:

because when you add 14.95 and 2 together you get 16.95

Answer:

Step-by-step explanation:

Area of  Big circle = πr² = 3.14 * 6.5*6.5  = 132.67 cm²

Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²

Area of shaded region = area of big circle - area of small circle

         = 132.67 - 16.61  = 116.06 cm²

Answer:

The graph is shown below.

Step-by-step explanation:

-1/2y = 4x + 5

This is the same as y = -2x - 2.5

The graph is shown below

Answer:

100x + 150y = 3050

x + y = 23

Step-by-step explanation:

the other answer had the right start and equations, and then did not give the result.

so, here the full picture :

x + y = 23

100x + 150y = 3050

so, the first equation gives us

x = -y + 23

which we can now use in the second equation

100(-y + 23) + 150y = 3050

-100y + 2300 + 150y = 3050

50y = 750

y = 15 (15 adults)

x = -y + 23 = -15 + 23 = 8 (8 minors)

Answer:

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

[tex] = > h = \frac{105 \times 2}{15} [/tex]

=> h = 7 × 2

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]

Answer:

Step-by-step explanation:

Answer: y=9x+8

Step-by-step explanation:

y=mx+b

y=(slope)x+(y int)

just plug in

y=9x+8

slope^ ^y intercept

Answer:

10/14 > 3/7

Step-by-step explanation:

L.C.D of these two fractions is 14:

10/14 = 10/14

3/7 = 6/14

10 is bigger than 6.

Answer:

$3.50 for 1 bag

Step-by-step explanation:

To Find How much is for 1 bag of Doritos Divided $7.00 by 2

Which gives you 3.50

Therefore for 1 bag of Doritos = $3.50

Answer:

Your y intercept is 1.

Step-by-step explanation:

slope is y2-y1 over x2-x1, or 2.

slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b

and if you solve that, 2x1=2, 3-2=1.

then you get 1 as your y intercept.