Triangles △ABC and △DEF are similar. Find the angles of these triangles if
m∠A=100°, m∠B=30°.

The slope-intercept form:

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

[tex]9y-27x=18[/tex]      add 27x to both sides

[tex]9y=27x+18[/tex]      divide both sides by 9

[tex]\boxed{y=3x+2}[/tex]

For the first question you best estimate would be : (1, 7) because these points are the closest co-ordinates to the real answer

Second question answer will be: The 2 lines have different slope, one is negative and another is positive. The y-intercepts for both equation are different but the x co-ordinate in both intercepts is 0

Answer: fvkglf

Step-by-step explanation: wdkogtrjfigtrkfijpwoeeefkjdmsjlfmhuygbnm,kjliuhyjbnmbgtfrghjklhyughbjnkuyliuynijedju ypour welcomebhf

Answer:

Step-by-step explanation:

If you want the mid point for these questions then for the 1st

1. add -6 and -2 which is -8 then divide by 2 which is -4, then add -1 and -3 which is -4 and then divide by 2 which is -2. so the mid point is (-4,-2)

2. its the same as above first add -4 and 2 which is -2 then divide by 2 which is -1, then add -5 and 3 which is -2 and divide by 2 which is -1. the point is (-1,-1)

3. -3+3=0 dived by 2 which is 0, -1+5=4 divide by 2 which is 2

point is (0,2)

4. -3+4=1 divide by 2 which is 1/2 =0.5, -2+7=5 then divide by 2 which is 5/2=2.5. point is (0.5,2.5)

Answer:

71

Step-by-step explanation:

One way in which to work this out is to multiply 100 by 5, obtaining 500, and then dividing this result by 7.  The nearest whole number is 497, or 71.

Answer:

associative property of multiplication

Step-by-step explanation:

edge 2021

Answer:

3000 gallons of 12 percent is required

Step-by-step explanation:

We can use the formula

percentage * amount + percentage * amount =  percentage*total amount

We have 9 percent and 15 percent wine that we are mixing to get 12 percent wine.

We are adding g gallons and 3000 gallons to get a total of (g+3000) gallons

Substituting this information in

.09 *g + .15 * 3000 = .12 (g+3000)

Distribute

.09g +450 = .12g+360

Subtract .9g from each side

.09g-.09g +450 = .12g-0.09g+360

450 = .03g + 360

Subtract 360 from each side

450-360 = .03g

90 =.03g

Divide each side by .03

90/.03 = .03g/03

3000 = g

Answer:

(x-10)(x+10)

Step-by-step explanation:

Here, the given expression,

[tex]x^2-100[/tex]

[tex]=(x)^2-(10)^2[/tex]

By using the identity [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]=(x+10)(x-10)[/tex]

[tex]=(x-10)(x+10)[/tex]   ( By the commutative property )

Since, further factorization is not possible,

Hence, the factors of [tex]x^2-100[/tex] are,

[tex](x-10)(x+10)[/tex]

Second option is correct.

The units digit of 23^23 is 7. This is found using the power cycle of 3 (the units digit of the base number), which is 3, 9, 7, 1 and the remainder when the exponent 23 is divided by the length of this power cycle (4).

To find the units digit of 2323, one needs to understand a pattern in power cycles. For any number, the units digit will repeat in a certain cycle when the number is raised to higher powers. For number 3, every fourth power goes back to the value 1. Thus, the cycle for the number 3 is 3, 9, 7, 1.

Here’s how the calculation works:

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Answer:

x = 4

Step-by-step explanation:

cross- multiplying gives

5 × 3x = 4(2x + 7) ← distribute

15x = 8x + 28 ( subtract 8x from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Cross multiplication is used to solve equations with fractions or ratios. Multiply across the equals sign ('cross multiply'), and then isolate 'x' by adjusting the equation. Replace variable with actual figures to get the exact value.

Cross multiplication is a mathematical technique used to solve problems involving fractions or ratios. Let's do an example. Suppose we have a ratio equation like this: a/b = c/ x (x is the variable we need to find).

The first step is to cross multiply. So, you multiply 'a' and 'x', and 'b' and 'c'. This gives us: ax = bc.

Next, we isolate 'x' by dividing both sides of the equation by 'a'. This gives us: x = bc/a.

Now, put the actual numbers into the equation to get the value of 'x'.

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Answer:

209  = v / 255

Step-by-step explanation:

209 is v divided by 255

The word is  means equals

209  = v / 255

Answer:

its 33 cm

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Distribute the (-)

6x^3y^3+x^3y^3  +  5x^2y^2 - x^2y^2  -  x^2y+x^2y  +xy^2 +3x+3x +2-4

Cancel out bold and add:

7x^3y^3 + 4x^2y^2 +xy^2+6x-2

Answer:

error in summing terms in x

Step-by-step explanation:

x + 3x + 5x = 180 ( collect like terms on left )

9x = 180 ← ( 9x not 8x )

divide both sides by 9

x = 20

Alma made a calculation error in solving for the angles with a ratio of 1:3:5. The correct values for x, which is the smallest angle, should be 20 degrees with the middle and largest angles being 60 degrees and 100 degrees respectively.

Alma is attempting to solve for the measures of angles in a triangle with a ratio of 1:3:5. However, there seems to be a mistake in her calculation. To correct it, we start with her equation x + 3x + 5x = 180, which represents the fact that the sum of the angles in a triangle is always 180 degrees (Theorem 20).

Combining like terms we do have 9x = 180. Solving for x gives us x = 20.

Therefore, the measure of the smallest angle is 20 degrees, the middle angle is 60 degrees, and the largest angle is 100 degrees.

Answer:  There are 13 children.

Step-by-step explanation:

1. Let's call x the number of children in the classroom. We know that each child received 4 oranges, except 5 of them.

2. There were 32 oranges in total.

3. We can write this problem as an equation that represents the number of oranges distributed, as follows:

[tex]4(x-5)=32[/tex]

4. Now we solve the equation to find the value of x:

[tex]x-5=\frac{32}{4}[/tex]

[tex]x-5=8[/tex]

[tex]x=13[/tex]

5. There are 13 children in the classroom. 8 of them received oranges and the rest did not.

Answer:

Vertical lines have an undefined slope. Horizontal lines have a 0 slope.

So, undefined.

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

this slope is undefined because it goes straight down and is vertical. the x and y-coordinates never change and there is no run when doing rise over run.]

pls mark brainliest

Answer:

Answer:  3240 = 2^3×3^4×5

Factor the following integer:

3240

The last digit of 3240 is 0, which means it is even. Therefore 3240 is divisible by 2:

3240 = 2 1620:

3240 = 2×1620

The last digit of 1620 is 0, which means it is even. Therefore 1620 is divisible by 2:

1620 = 2 810:

3240 = 2×2×810

The last digit of 810 is 0, which means it is even. Therefore 810 is divisible by 2:

810 = 2 405:

3240 = 2×2×2×405

405 is not divisible by 2 since 405 is odd and 2 is even:

3240 = 2×2×2×405 (405 is not divisible by 2)

The sum of the digits of 405 is 4 + 0 + 5 = 9, which is divisible by 3. This means 405 is divisible by 3:

405 = 3 135:

3240 = 2×2×2×3×135 (135 is not divisible by 2 since 405 is not)

The sum of the digits of 135 is 1 + 3 + 5 = 9, which is divisible by 3. This means 135 is divisible by 3:

135 = 3 45:

3240 = 2×2×2×3×3×45 (45 is not divisible by 2 since 135 is not)

The sum of the digits of 45 is 4 + 5 = 9, which is divisible by 3. This means 45 is divisible by 3:

45 = 3 15:

3240 = 2×2×2×3×3×3×15 (15 is not divisible by 2 since 45 is not)

The sum of the digits of 15 is 1 + 5 = 6, which is divisible by 3. This means 15 is divisible by 3:

15 = 3 5:

3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 since 15 is not)

Divide 3 into 5:

| 1 | (quotient)

3 | 5 |  

- | 3 |  

| 2 | (remainder)

5 is not divisible by 3:

3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 or 3)

No primes less than 5 divide into it. Therefore 5 is prime:

3240 = 2×2×2×3×3×3×3×5

There are 3 copies of 2, 4 copies of 3 and 1 copy of 5 in the product:

Answer:  3240 = 2^3×3^4×5

3,240 =

= 324 × 10 =

= 4 × 81 × 10 =

= 2^2 × 3^4 × 2 × 5 =

I will get in 2:16.

Now it is given that I clock out or I got out when the time was 1 hour 46 minutes.

And I have 30 minutes to go in.

So after 30 minutes, the time will be :

   1 hour +  46 minutes

+                 30  minutes  

   1 hour  +  76 minutes

Now we know that 60 minutes = 1 hour

So the time will be 2 hours and 16 minutes.

Therefore, the time at which I will get in after 30 minutes is 2:16

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Answer:

Vegetable soup costs less because it's only $0.24/oz while chicken soup costs $0.25/oz.

Step-by-step explanation:

Vegetable = $2.88/12 = $0.24/per 1 oz

Chicken = $2.25/9 = $0.25/per 1 oz

Answer:

290 ans 4/5 miles

Step-by-step explanation:

174/24=7.25

7.25X40=290

Next problem

10/2=5

4/5

Answer:

When you have large numbers to divide,

draw a tableau for long division on the side.

Write the steps that will be your guide,

D, M, S, B and R – Abide by to long divide!

Step-by-step explanation:

Answer:

Step-by-step explanation:

the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000[/tex]

GEMDAS!

1:

3 - 7 x 5 + 2 x 4

3 - 35 + 2 x 4

3 - 35 + 8

3 - 27

-24

2:

7 - 2 x 5 + 9 x 3

7 - 10 + 9 x 3

7 - 10 + 27

7 + 17

24

3:

2 - 8x + 3x When x = 5

2 - 8(5) + 3(5)

2 - 40 + 15

2 - 25

-23

4:

4 - 2x + 5x when x= 4

4 - 2(4) + 5(4)

4 - 8 + 20

4 + 12

16

5:

z ÷ 2 - 4z + 3(z - 3) when z = 8

8 ÷ 2 - 4(8) + 3(8 - 3)

8 ÷ 2 - 32 + 24 - 9

4 - 32 + 24 - 9

4 - 8 - 9

-13

I might've did #5 incorrect.... Really really sorry...

Answer:

x=2

Step-by-step explanation:

32x ÷ 4 = 16

32x = 64

x = 2

Answer:

x = - 3.5

Step-by-step explanation:

32 * ( x + 4 ) = 16  

x + 4 = 16 / 32  

x + 4 = 0.5  

x = 0.5 - 4  

x = - 3.5

Answer:

It would be C

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.

Answer:

C.

Step-by-step explanation:

because if -6 is a rotational number it should also be able to be translated into a fraction form

Answer:

coordinate of point A is (a,b)

coordinate of point C is (2c,d)

slope of AD and BC =[tex]\frac{b}{a-c}[/tex]

Step-by-step explanation:

According to midpoint formula

If we have points P [tex](x_{1} ,y_{1} )[/tex] and Q [tex](x_{2} ,y_{2} )[/tex]

then the coordinate (x,y) of mid point of line PQ is given by

[tex]x=\frac{x_{1} +x_{2} }{2}[/tex] and [tex]y=\frac{y_{1} +y_{2} }{2}[/tex]

now from the given diagram A is the mid point of line joining  R(0,0) and S(2a,2b)

Using midpoint formula, coordinates of point A is given by

[tex]x=\frac{0+2a}{2}= a[/tex] and [tex]y=\frac{0+2b}{2} =b[/tex]

so we have

coordinate of point A is (a,b)

Also C is the midpoint of line joining T (2c,2d) and V(2c,0)

coordinate of point C is given by

[tex]x= \frac{2c+2c}{2} =2c[/tex] and [tex]y=\frac{2d+0}{2} =d[/tex]

so we have

coordinate of point C is (2c,d)

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P [tex](x_{1} ,y_{1} )[/tex] and Q [tex](x_{2} ,y_{2} )[/tex]

then the slope of PQ =[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }[/tex]

hence slope of AD= [tex]\frac{0-b }{c-a} [/tex]

                                 =[tex]\frac{-b}{c-a}[/tex]

                                  =[tex]\frac{-b}{-(a-c)}[/tex]

                                  =[tex]\frac{b}{a-c}[/tex]

and slope of BC  =[tex]\frac{d-(b+d)}{2c-(a+c)}[/tex]

                            =[tex]\frac{d-b-d}{2c-a-c}[/tex]

                             =[tex]\frac{-b}{c-a}[/tex]

                              =[tex]\frac{b}{a-c}[/tex]

so we have

slope of AD and BC =[tex]\frac{b}{a-c}[/tex]

Answer:

Co-ordinates of A are ( a, b )

Co-ordinates of C are ( 2c, d )

Slope of line segments AD and BC is [tex]\frac{-b}{c-a}[/tex]

Step-by-step explanation:

We know that, the co-ordinates of the mid-point of a line segment having end points (x,y) and [tex](x_{1} , y_{1} )[/tex] is [tex](\frac{x+x_{1} }{2} , \frac{y+y_{1} }{2} )[/tex]

Now as 'A' is the mid-point of the line segment RS having end points (0,0) and (2a,2b).

The co-ordinates of A will be ( [tex]\frac{0+2a}{2}[/tex], [tex]\frac{0+2a}{2}[/tex] ) i.e [tex]( a, b )[/tex]

Now as 'C' is the mid-point of the line segment TV having end points (2c,2d) and (2c,0).

The co-ordinates of C will be ( [tex]\frac{2c+2c}{2}[/tex], [tex]\frac{2d+0}{2}[/tex] ) i.e. [tex]( \frac{4c}{2} , \frac{2d}{2})[/tex] i.e. [tex]( 2c, d )[/tex].

Further, we need to find the slope of line segments AD and BC.

AD has end points [tex]( a, b )[/tex] and [tex]( c, 0 )[/tex]. Then the slope of AD will be [tex]\frac{0-b}{c-a}[/tex] i.e [tex]\frac{-b}{c-a}[/tex]

Similarly, BC has end points [tex]( a+c, b+d )[/tex] and [tex]( 2c, d )[/tex]. Then the slope of BC will be [tex]\frac{d-b-d}{2c-a-c}[/tex] i.e [tex]\frac{-b}{c-a}[/tex]

Hence, the slope of AD and BC is [tex]\frac{-b}{c-a}[/tex].

Answer:

$0.24

Step-by-step explanation:

1.49 - 1.25 = 0.24

Answer:

$0.24

Step-by-step explanation: