Find the product of (2x + 3) and (x + 5)

Answer:

1. ∠C ≅ ∠B  by definition of congruency

2. m∠Y by definition of obtuse angle

3. ∠C ≅ ∠A by definition of congruency

4. ∠N and ∠P  are  complementary angles by definition of complementary angles

Step-by-step explanation:

1. The given parameters are;

Statement                         [tex]{}[/tex]                        Reason

ΔABC is a right triangle                         [tex]{}[/tex]   Given

∠A is a right angle                         [tex]{}[/tex]            Given

m∠B = 45°                        [tex]{}[/tex]                          Given

m∠A + m∠B + m∠C = 180°                        [tex]{}[/tex] Sum of interior angles of a triangle

m∠C = 180° - (m∠A + m∠B)               [tex]{}[/tex]        

m∠C = 180° - (90° + 45°) = 45°               [tex]{}[/tex]     Substitution property

m∠C = 45° = m∠B                                 [tex]{}[/tex]      Substitution property

∠C ≅ ∠B                              [tex]{}[/tex]                        Definition of congruency

2. Statement                         [tex]{}[/tex]                      Reason

m∠X = 4·a + 2                        [tex]{}[/tex]                      Given

m∠Y = 21·a + 3                       [tex]{}[/tex]                      Given

∠X and ∠Y are linear pair                       [tex]{}[/tex]    Given

m∠X + m∠Y = 180°                     [tex]{}[/tex]                  Sum of angles of linear pair                  

4·a + 2 + 21·a + 3 = 180°              [tex]{}[/tex]                 Substitution property      

25·a + 5 = 180°                    [tex]{}[/tex]                          

a = (180 - 5)/25 = 7

m∠Y = 21 × 7 + 3 = 150°              [tex]{}[/tex]                 Substitution property      

m∠Y = 150° >  90

m∠Y is an obtuse angle             [tex]{}[/tex]                 Definition of obtuse angle

3. Statement                         [tex]{}[/tex]                         Reason

∠A and ∠B are complementary angles    [tex]{}[/tex]    Given

∠A + ∠B = 180°                        [tex]{}[/tex]                 Definition of complementary angles

∠B and ∠C are complementary angles    [tex]{}[/tex]    Given

∠B + ∠C = 180°                        [tex]{}[/tex]                 Definition of complementary angles

∠B + ∠C = ∠A + ∠B                 [tex]{}[/tex]                 Transitive property

∠C = ∠A                       [tex]{}[/tex]                      Reverse of addition property of equality

∠C ≅ ∠A                    [tex]{}[/tex]                        Definition of congruency

4. Statement                         [tex]{}[/tex]                Reason

ΔMNP is a right triangle                  [tex]{}[/tex]      Given

∠M is a right angle                     [tex]{}[/tex]           Given

∠M + ∠N + ∠P = 180°                        [tex]{}[/tex]     Sum of interior angles of a triangle

∠N + ∠P = 180° - ∠M                          [tex]{}[/tex]    Subtraction property of equality

∠N + ∠P = 180° - 90° = 90°                [tex]{}[/tex]    Substitution property of equality

∠N + ∠P = 90°                          [tex]{}[/tex]              Substitution property of equality

∠N and ∠P  are  complementary angles  [tex]{}[/tex]  Definition of complementary angles.

Answer: The slope is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].

2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].

3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].

4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].

Answer:

its the last choice

Step-by-step explanation:

Answer:

it is the second from the top

Answer:

y = -2x + 7

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

28 = 28 is what you will get if you put N into the equation.

Answer:

Your answer is: 28 = 28

The left side  28  is equal to the right side  28 , which means that the given statement is always true.

You have to plug in both n's with a 6, so your equation would be ↓ 4(2(6)-5)=3(6)+10

Step-by-step explanation:

Hope this helped : )

Answer:54 = t + 9

Step-by-step explanation:

Umm...... Okay then..?

Answer:

a) vertical angles

b) same side interior angles

c)alternate interior angles

Step-by-step explanation:

vertical angles are angles that are across from each other and they are congruent

interior angles are angles that are in between the parallel lines and when they are on the same side it means that they are on the same side of the transversal

interior angles are angles that are in between the parallel lines and when they are on different sides it means that they are on opposite sides of a transversal, this is called alternate interior angles

Answer:

15

Step-by-step explanation:

sqrt 230 = 15.165...

Answer:

-63

Step-by-step explanation:

Answer:

Y=5/2x -4

Step-by-step explanation:

Answer:

3^2

Step-by-step explanation:

3^-4*3^6

3^-4+6

3^2

Answer:

O weight in kilograms = 25 x 3.5 ÷ 2.2

Step-by-step explanation:

As a butcher, you sell beef in 3.5-pound packages. You anticipate needing 25 packages for the next two days.

Therefore, the total number of pounds for the 25 packages =

3.5 pound packages × 25

= 87.5 pounds

We are told that : The wholesaler from whom you purchase large pieces of meat measures the weight of the beef in kilograms.

Note that:

2.2 pounds = 1 kg

Hence:

87.5 pounds =

= 87.5÷ 2.2

= 39.772727273 kg

He needs to buy 39.772727273kg from the wholesaler

The equation can you use to determine the weight of the beef, in kilograms, that you need to purchase from the wholesaler is:

O weight in kilograms = (25 x 3.5) ÷ 2.2

Answer:

-15

Step-by-step explanation:

positive x positive = positive

positive x negative = negative

negative x negative = positive

(same goes with division)

Answer:

a is 44 b is 37

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

I think you meant y=2/3x+4 because what you wrote is not the right way to right that equation, but anyways the slope of the parallel line is 2/3 because lines that are parallel have the same slope.

I hope this helps!

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

Answer:

its microwave

Step-by-step explanation:

Answer:

ok so I cant make promises but I think the answer is -11/12

Step-by-step explanation:

I hope its right and I'm sorry if its not  

Answer:

Correct choice: C. [tex]x=\pm\sqrt{10}\mathbf{i}[/tex]

Step-by-step explanation:

The quadratic equation to solve is:

[tex]x^2+10=0[/tex]

Since this equation is incomplete, we can solve it without using the quadratic solver formula.

Subtracting 10:

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

Taking square root:

[tex]x=\pm\sqrt{-10}[/tex]

Recall the square root of a negative number leads to imaginary solutions where the Unit Imaginary Number (i) is used, where:

[tex]\mathbf{i}=\sqrt{-1}[/tex]

The solutions to the equation are:

[tex]x=\pm\sqrt{10}\mathbf{i}[/tex]

Correct choice: C. [tex]x=\pm\sqrt{10}\mathbf{i}[/tex]

Answer:

Look at the step by step explanation

Step-by-step explanation:

Answer:

I will try to help, let me know

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

12500000000000

Step-by-step explanation:

Answer:

5

4

x100100000

Step-by-step explanation:

5x108

4

x105

Simplifies to:

5

4

x100100000

=

5

4

x100100000

Answer:

3/10 of the renaming full pizza has pepperoni

Step-by-step explanation:

Here, we want to calculate how much of the remaining pizza had pepperoni.

From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni

she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni

The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10

This means that 3/10 of the remaining full pizza has pepperoni

Answer:

48 inches

Step-by-step explanation:

12 in=1

24 in = 2

36 in = 3

48 in = 4

Add 12 everytime

Answer:

25

Step-by-step explanation:

23+24+25=72

hope i helped!! :)

( if it is right, pls mark brainliest!!)

Answer:

25

Step-by-step explanation:

let x represent the first consecutive number.

let x+1 represent the second consecutive number.

let x+2 represent the third consecutive number.

x + x+1 + x+2 = 72

3x + 3 = 72

3x = 72 - 3

3x = 69

3x/3 = 69/3

x= 23

first number= x = 23

second number = x+1

= 23+1

=24

third number= x+2

=23+2

=25

the largest of these numbers is 25

Answer:1,2,3

Step-by-step explanation:

Answer:

1. Jorge’s weight change was approximately 5%.

2.Marie’s weight change was approximately 14%.

3.Marie had the greater percent change.

Step-by-step explanation:

edge 2021

Answer:

it is 85x and I'm only in middle school