Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.​

Given :

Evaluate the equation.

When x = 5 and y = 2 then,

2x – 4(x – 2y) + 6y

= 2(5) – 4[(5) – 2(2)] + 6(2)

= 10 – 4(5 – 4) + 12

= 10 – 4*1 + 12

= 10 – 4 + 12

= 22 – 4

= 18

Answer:

Step-by-step explanation:

Both of the triangles are isosceles as marked on the diagram.

The right triangle has missing angles of:

The missing angles of the bigger triangle:

Answer: 10.17898 so

About 10.2

Answer: 10.6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

note - (- ) = + and + (- ) = -

- 6 - (- 10) + (- 2)

= - 6 + 10 - 2

= 4 - 2

= 2

Answer:

2

Explanation:

- 6 + 10+ (- 2)

= 4+(-2)

=2

Answer:

1/8

Step-by-step explanation:

50/100 * 25/100

1/2 * 1/4 = 1/8

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

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Answer:

7

Step-by-step explanation:

We can use the equation:

x + (x + 1) + (x + 2) + (x + 3) = 22

Combine like terms

4x + 6 = 22

Subtract 6 from both sides

4x = 16

Isolate x

x = 4

Plug in x

4 + (4 + 1) + (4 + 2) + (4 + 3) = 22

Solve

4 + 5 + 6 + 7 = 22

7 is the greatest integer

Answerrrrrrrrrr:

- 7/6

Answer:

[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]

The file includes the input of your equation, comment if the equation you input is a mistake.

Answer:

2 ^ 3(x+1)

Step-by-step explanation:

Assuming  2^(4x+4) / 2 ^(x+1)

when bases are equal and exponents are in division it becomes subtraction

=> 2 ^ (4x + 4 - (x + 1) )

=> 2 ^ (4x + 4 -x - 1)

=> 2 ^ (3x + 3)

=> 2 ^ 3(x+1)

=> [tex]2^{3(x+1)}[/tex]

Step-by-step explanation:

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Answer:

He can stop testing because he has found all the roots.

Step-by-step explanation:

I took the test and it said I got it right.  Hope this helps!

Answer:

a

Step-by-step explanation:

r and t are same- side exterior angles and sum to 180 , so

t + r = 180 , that is

t + 91 = 180 ( subtract 91 from both sides )

t = 89

t and u are vertically opposite angles and are congruent , so

u = t = 91

Then

t + u = 89 + 89 = 178 → a

Answer:

  D'(25, 0)

Step-by-step explanation:

Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.

  (x, y) ⇒ (5x, 5y)

  D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 1000 \times 3.5\% \times 3[/tex]

= 105

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Answer:

4.25+9.75+0.5x≤18

Step-by-step explanation:

4.25+9.75+0.5x≤18

14+0.5x≤18

0.5x≤4

x≤8

She can buy at most 8 packs of crackers.

Hope this helps :)

Fiona can buy maximum 8 number of packages of crackers.

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Given that Fiona has $18 to spend and she spent $4.25 .

Now, she has the money $18 - $4.25 = $ 13.75

And she needs to save $9.75 from rest of the amount.

Therefore, $13.75 - $ 9.75 = $4

Now she has $4 to spend and one packet of crackers cost $0.50.

So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.

Therefore, Fiona can buy maximum 8 number of packages of crackers.

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Answer: x < -44

Step-by-step explanation:

alright my fellow dude gamer, i want you to know that "a number" is basically just x

so lets do this

[tex]\frac{1}{4}x + 13 < 2[/tex]

ok now we are going to solve for x, no?

[tex]\frac{1}{4}x < -11[/tex]

i just subtracted 13 from both sides

now we divide -11 by 1/4

[tex]x < -44[/tex]

MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

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we have sin²x + cos²x = 1

ok done. Thank to me :>

Answer:

x=80

Step-by-step explanation:

70 + 30+x =180 (sum of angles in a triangle =180)

x=80

Answer:

[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]

Step-by-step explanation:

Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]

 1.  The first is sum both sides by 18

   [tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]

 2. The second is multiply both sides by [tex]5[/tex]

   [tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]

So of this way you can proof that [tex]m = 10[/tex]

Answer:

All are functions

Step-by-step explanation:

A.  y = x + 9  A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.

B.    x + y = 9

       y = -x + 9   A graph of a line.  There are no x values that are the same number on the graph.  The graph passes the vertical line test

C.  x + 3 = y²

   [tex]\sqrt{x + 3} = y[/tex]  The graph passes the vertical line test. On the graph, there are no x-values that are the same number.

D.   y = x² - 3   The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).

Answer:

look at the picture..................

[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]

[tex]\\ \rm\leadsto a^5[/tex]

Answer:

$2.6 x 10^4

Step-by-step explanation:

The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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Answer:

Step-by-step explanation:

Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.

H + j are not connected to the exterior angle at I.

Put more directly

2x + 3x = 150        Combine

5x = 150                Divide by 5

x = 150/5

x = 30

So H = 2 * 30 = 60

and J = 3*30  = 90

All triangles have interior angles that add up to 180

We have already accounted for 150.

JIH + 150 = 180  Subtract 150

jIH = 180 - 150 = 30

Summary

x = 30

JIH = 30                      

H = 60

J = 90

A.

Jay's original brand is $5 more than the price of a box of the super-saving brand.

Since Jay's original brand costs $15 per box and the price of Luke's super-saving brand is y = 10x where x = number of boxes. For one box, x = 1.

So, y = 10x

y = 10 × 1

y = $10

So, Jay's brand costs $15 per box and Luke brand cost $10 per box.

So, the difference in price is per box is $15 - 10$ = $5

So, Jay's original brand is $5 more than the price of a box of the super-saving brand.

B.

Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month

Since the difference in price for each box bought is $5. Jay saves $5 for every super-saving cereal brand he buys.

So, if he buys 8 cereal boxes per month, he saves $5 per box × 8 boxes per month = $40 per month.

So, Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month

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Answer:

final answer: 58xy

Step-by-step explanation:

24xy + 4xy - 2y + 42xy - 12xy + 2y

(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)

(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy

58xy + ( - 2 + 2)xy

58xy + 0y

58xy

Answer:

1st one is 11

2nd one is -4

3rd one is 0

Step-by-step explanation:

no need

you can trust me :)