Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

I'll assume you need to find the equation of the line that passes through those points.

Answer:

[tex]\displaystyle y-2=\frac{1}{4}(x+4)[/tex]

Step-by-step explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given points are (-4,2) and (12,6), thus:

[tex]\displaystyle y-2=\frac{6-2}{12+4}(x+4)[/tex]

Operating:

[tex]\displaystyle y-2=\frac{4}{16}(x+4)[/tex]

Simplifying, the equation in point-slope form is:

[tex]\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}[/tex]

Answer: b= -4

Step-by-step explanation:

Answer:

5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5

Answer:

5 gallons.

Step-by-step explanation:

two gallons=$5.40

? gallons=$13.50

you cross multiply

2 × $13.50÷$5.40

27÷5.40=5 gallons

Answer:

40in^2

Step-by-step explanation:

Answer:

3.5 meters

Step-by-step explanation:

Equation: p = 0.8L

Given: p = 2.80

To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:

p = 0.8L

2.8 = 0.8L

Divide both sides by .8 to isolate L:

[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]

3.5 = L

The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.

Answer:

subtracting 18 from both sides isolate the variable term

The domain of the function is [ - 6 , ∞ ]

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

A radical function is the one provided.

It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.

As a result, either the radicand of the provided function must be larger than or equal to zero, or:

Thus we can write it as

x + 6 ≥ 0

subtract 6 from both LHS and RHS

x + 6 - 6 ≥ 0 - 6

x ≥ - 6

Therefore the domain of the function is [ - 6 , ∞ ]

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Answer:

D

Step-by-step explanation:

Answer:

5x=1

Step-by-step explanation:

51

According to BODMAS rule...

We would first solve...

Bracket i.e.(4+7)

Answer:yes

Step-by-step explanation:

Answer:

= 5.796 × 10^-2

(scientific notation)

= 5.796e-2

(scientific e notation)

Step-by-step explanation:

Answer:5.796 x 10- 2

Step-by-step explanation:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

x=

2

−5−

57

​

​

=−6.275

x=

2

−5+

57

​

​

=1.275

Step-by-step explanation:

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

Answer:

48 cents each pound

Step-by-step explanation:

Divide $12 by 25 pounds.

12÷25=0.48

Answer:

pre image point A (8,0)

Step-by-step explanation:

I guess thats the answer

A = (x, y)

After a translation right 2 units and down 1 unit is the point B (10, -1)

A = (x + 2, y - 1)

B = (10, -1)

A = B

x + 2, y - 1 = 10, -1

x, y = 10 - 2, -1 + 1

x, y = 8, 0

(x, y) = (8, 0)

The coordinates of pre-image point A is (8, 0)

Answer:

2. I think is 5

Step-by-step explanation:

Answer : The answer to the second question is -5. Option A.

I'm confused about what the first question means.

Answer: 145

Step-by-step explanation:

145 degrees

The measure of angle ∠2 in the triangle is 145.

Option D is the correct answer.

We have,

From the figure,

The s and t lines are parallel.

The l and m lines are parallel.

Now,

∠1 and ∠a are corresponding angles.

∠b and ∠a are corresponding angles.

This means,

∠1 = ∠a = ∠b = 35

Now,

∠2 and ∠b add up to a straight angle.

This means,

∠2 + ∠b = 180

∠2 + 35 = 180

∠2 = 180 - 35

∠2 = 145

Thus,

The measure of angle ∠2 is 145.

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Answer:

See the picture below. I just used Desmos.

Answer:

y=mx+b

Step-by-step explanation:

The m=slope. The x is just there, and the b=the line it passes through

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Answer:

-20

Step-by-step explanation:

Answer:

$1000 + $25m and $1300 - 25m ;

1100 + 2.75m

2010 (4th month)

2011 ( 7th month)

Step-by-step explanation:

Joline's account :

Initial deposit = $1000

Monthly deposit = $25

Monthly withdrawal = $25

Number of months = 12

Let m = number of month at any point in time

Initial deposit + total deposit

Amount in Joline's account ; first 12 months

$1000 + $25m - - - (1)

Next 12 months :

$1000 + $25 *12 - 25m

1300 - 25m

Sofia's account :

Deposit amount = $1100

Interest per month = 0.25% = 0.0025

1100 + (1100 * 0.0025 * m)

1100 + 2.75m - - (2)

To find the month:

Equate equation 1 and 2, then find m

$1000 + $25m = 1100 + (1100*0.0025*m)

1000 + 25m = 1100 + 2.75m

25m - 2.75m = 1100 - 1000

22.25m = 100

m = 100 / 22.25

m = 4.494

In year 2010, they have approximately the same amount in the fourth month

1300 - 25m = 1100 + 2.75m

1300 - 1100 = 2.75m + 25m

200 = 27.75m

m = 200 / 27.75

m = 7.207

In 2011 ; they have approximately the se amount in the 7th month

[tex]\rm\blue{Answer:}[/tex]

x = 70°

Explanation :

To find : Value of x

Here, given angles are :

35°, 75° and x

Knowledge Required to solve it :

The sum of all the angles of a triangle is 180°.

Now,

35°+75°+x=180°

⇒110°+x=180°

⇒x=180°-110°

⇒x=70°

.°. x=70°

9 I think that the Answer so if not delet this Answer

Answer:

[tex]2.75,\ 0.1x[/tex]  

[tex]2.75[/tex]

Step-by-step explanation:

In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].

If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].

In 1980, zero years have passed so, [tex]x=0[/tex]

Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]

Answer:

35.75%

Step-by-step explanation:

Given that:

Markdown % = 45%

Additional percentage off = 35%

45% markdown :

100% - 45% = 55% of item price will be paid.

Furthermore,

35% additional discount :

100% - 35% = 65% of item price will be paid

Hence, percentage of original price paid:

(55% * 65%) = 0.3575

= 35.75% of the original price is paid

Answer:

1. (-3,2) and (-1,2)

Step-by-step explanation:

Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is

So the coordinates become:

Correct option is the first one