property . Simplify the expression 2(5+r) using the distributive property.

Answer:

1. ∠1 = 120°

2. ∠2 = 60°

3. ∠3 = 60°

4. ∠4 = 60°

5. ∠5 = 75°

6. ∠6 = 45°

Step-by-step explanation:

From the diagram, we have;

1. ∠1 and the 120° angle are corresponding angles

Corresponding angles are equal, therefore;

∠1 = 120°

2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;

∠2 + 120° = 180°

∠2 = 180° - 120° = 60°

∠2 = 60°

3. Angle ∠3 and ∠2 are vertically opposite angles

Vertically opposite angles are equal, therefore, we get;

∠3 = ∠2 = 60°

∠3 = 60°

4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;

∠1 + ∠4 = 180°

∠4 = 180° - ∠1

We have, ∠1 = 120°

∴ ∠4 = 180° - 120° = 60°

∠4 = 60°

5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6

Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;

x = y

The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles

∴ x + y + 90° = 180°

From x = y, we get;

y + y + 90° = 180°

2·y = 180° - 90° = 90°

y = 90°/2 = 45°

y = 45°

Therefore, we have;

∠4 + ∠5 + y = 180° (Angle sum property of a triangle)

∴ ∠5 = 180 - ∠4 - y

∠5 = 180° - 60° - 45° = 75°

∠5 = 75°

6. ∠6 and y are alternate angles, therefore;

∠6 = y = 45°

∠6 = 45°.

Answer:

A = 2x² + x - 45

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth , thus

A = (2x - 9)(x + 5) ← expand using FOIL

   = 2x² + 10x - 9x - 45 ← collect like terms

    = 2x² + x - 45

Answer:

(1,2)

Step-by-step explanation:

So, if y= 2x...

2x= 8x-6

-6x= -6

x= 1

y=2x

y= (2)(1)

y=2

(1,2)

Answer:

2/36 or 1/18

Step-by-step explanation:

rolling two dice produces 36 outcomes

rolling a 3 and a 6 is one outcome

rolling a 6 and a 3 is a second outcome

Answer:

f(7) = - 5

Step-by-step explanation:

Locate x = 7 on the x- axis, go vertically down to meet the graph at (7, - 5 )

Then the value of f(7) = - 5

Answer:

Step-by-step explanation: what’s the equation?

Answer:

Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.

Step-by-step explanation:

Answer:

12x² + 17x - 5

Step-by-step explanation:

Given

(3x + 5)(4x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x - 1) + 5(4x - 1) ← distribute parenthesis

= 12x² - 3x + 20x - 5 ← collect like terms

= 12x² + 17x - 5

s= p+3

(number of sports drinks= s)

(pizza slices= p)

Answer: 9 x + 7 /2

Step-by-step explanation:

Answer:

 8 + 9x

Step-by-step explanation:

This is an algebraic expression.  Our job here is to simplify it by combining like terms:  combine the x terms and then combine the constants:

-3x + 5 ¾ + 12x - 2.25, after combining the x terms, is

       5 ¾ +    9x - 2.25

Next, combine the constants.  It's easier to convert -2.25 to -2 1/4 and then

add this 2 1/4 to 5 3/4:  

             8 + 9x

Answer:

60.3−4.92=0

Subtract 4.92 from 60.3 to get 55.38.

55.38 = 0

Compare 55.38 or 0.

Answer:55.38=0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25c^2: 1,5,25,c,\& \ c}[/tex]

[tex]\mathsf{10w^2: 1,2,5,10,w,\& \ w}[/tex]

[tex]\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A,D,E

Step-by-step explanation:

-4(x + 2) – 2x + 4

=-4x-8-2x+4    D

=4x-2x-8+4     E

=-6x-4             A

Hope it helps!

it needs to be shifted to the positive side of the graph by 4 units so right by 4 units is the correct answer

The answer is A. Left by four units. I took the test so it is correct, here is photographic proof:

Answer:

15 customers

Step-by-step explanation:

Given data

Total Number of customers= 25

60% of 25 customers made an additional purchase

Hence the number of customers that made additional purchase is

=60/100*25

=0.6*25

=15customer

Hence 15 customers made additional purchase

Answer:

second account

Step-by-step explanation:

hcjdlajshdksksjs

Answer:

p < -8

Step-by-step explanation:

i hope this helps :)

Answer:

it should be 11.85 if it's not I do not know what is the answer to it

Answer:

actually the answer is 64

Step-by-step explanation:

9514 1404 393

Answer:

  Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

  0.15p = 175

  p = 175/0.15 = 1166.67

When the tax is added, the total comes to ...

  1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

Answer:

nice

Step-by-step explanation:

Answer:

x=32

Step-by-step explanation:

So a triangles angles add up to 180 degrees. . .

2x+116=180

64=2x

x=32

Answer:

A number that can go into another number without a remainder.

Step-by-step explanation:

Answer:

actor definition, one of the elements contributing to a particular result or situation: Poverty is only one of the factors in crime.

Answer:

7

Step-by-step explanation: the rule is to divide by  in this case. 21 / 3 is 7

Answer:

? = 7 m

Step-by-step explanation:

6/18 = ?/21

18? = 126

? = 7

Answer:

(k - 4) ÷ 9

(k - 4) / 9

Step-by-step explanation:

k decreased by 4 = k - 4

quotient of k decreased by 4 and 9

= (k - 4) ÷ 9 (using division sign)

Or

= (k - 4) / 9 (as a fraction)