Which angles are alternate interior angles?

​

Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)

[tex]x^2+2x-3=0\\\\\implies x^2 +3x -x -3 =0\\\\\implies x(x+3) -(x+3)=0\\\\\implies (x-1)(x+3)=0\\\\\implies x =1 ~ \text{or}~ x = -3[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's check I the given pairs of triangles are congruent or not ~

[tex]\qquad \sf  \dashrightarrow \:ABC \cong FED[/tex]

These triangles are congruent by SSS congruency, as it's three sides are equal.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:LMN \not \cong PQO[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

These triangles are not congruent because they don't fulfill any congruency criteria.

[tex]\qquad \sf  \dashrightarrow \: XVW \cong YZA [/tex]

These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: GHI \not \cong IJG [/tex]

These triangles are not congruent because they don't fulfill any criteria.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: PQR\cong QPO[/tex]

These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: JIK \cong HIG [/tex]

These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.

・ ．━━━━━━━†━━━━━━━━━．・

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: BCD \cong FED [/tex]

These triangles are congruent by ASA congruency, because they have one pair equal angles, one pair of vertical opposite angles (they are equal) and a side between them equal.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: LKM \cong LNM [/tex]

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

A

Step-by-step explanation:

Find the number of bottles in 5 cases:

5 × 12 = 60

Find the number of liters in 60 bottles:

60 × 3 = 180

180 liters of laundry detergent

Answer:

(4x)

2

=16×x

2

Step-by-step explanation:

hope it's help

Answer:

7.5 inches

peeeee

Jack's problems illustrates algebraic expressions

The given parameters are:

The number of questions solved per day is calculated as:

Daily = Days/Problems

So, we have:

Daily = m/5

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

Read more about expressions at:

https://brainly.com/question/723406

Answer:

the width is 9in

Step-by-step explanation:

perimeter of triangle =3×16 = 48

let w= width of rectangle

perimeter of triangle = perimeter of rectangle

48= 2(15 +w)

24= 15 + w

w= 9

Answer:

C. 451

Step-by-step explanation:

426 - 285 = 141

141 + 310 = 451

Answer:

The angle B = 70°

Step-by-step explanation:

The sum of angles of a triangle is 180°

=> 40°+(2x-30)°+(x+20)° = 180°

=> 40°+2x°-30°+x°+20° = 180°

=> 30°+3x= 180°

=> 3x = 180°-30°

=> 3x = 150°

=> x = 150/3

=> x = 50°

So,the value of x = 50°

now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°

Answer:

a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night

Answer:

ba/2+bd/2+cd, in this case the area is 46

Step-by-step explanation:

The formula for this would simply be the area of the trapazoid plus the area of the rectangle.

The area of a trapazoid(in this case) is b(a+d)/2

The area of the rectangle is cd

Adding these you get ba/2+bd/2+cd

In this case the area is 46

Answer:

Hope the picture will help you.Make sure to mark me brilliant

Answer:

The stament is false. Although the government deos fund research, most of the funding for research is from corporations

Step-by-step explanation:

I am sorry if it's wrong but I think that's the correct answer but read this first

Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).

State and Local Taxes

1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.

2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.

3. sales tax, meals tax, hotels tax, excise tax, and tolls

4. federal payroll tax

5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.

100% if you put these answers.

Answer

answer is 19

Step-by-step explanation:

hope it's help

==========================================================

Let's simplify the expression:-

[tex]\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}[/tex]

Multiply 3 times 1 and 1 times 2:-

[tex]\bigstar{\boxed{\pmb{\frac{3}{2} }}[/tex]

======================================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

[tex]\\[/tex]

Step-by-step explanation:

Given that Height of cone shaped roof is 30 ft and radius is 15 ft.

To calculate the lateral surface area and Surface area of the cone we will use the formula given below:

[tex]\\[/tex]

[tex]\star \: { \underline { \boxed { \purple{ \pmb { \sf{Lateral \: surface \: Area _{(cone)} = \pi rl}}}}}}[/tex]

[tex]\\[/tex]

[tex]\star{\underline{ \boxed{ \purple{ \pmb { \sf{Surface \: area _{(cone)} = \pi rl + \pi {r}^{2} }}}}}}[/tex]

[tex]\\[/tex]

Finding the Slant height of the cone:

[tex]\dashrightarrow \: \:L = \sqrt{ {(r)}^{2} + {(h)}^{2} } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{225 +900 } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{1125 } \\ [/tex]

[tex]{ \dashrightarrow \: \: { \pink{ \boxed { \: L = 33.541 }}}}\\ [/tex]

Substituting values in above formula:

[tex]\dashrightarrow \: \: LSA = \pi rl \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22}{7} \times 15 \times 33.54 \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22 \times 15 \times 33054}{7} \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{11068.2}{7} \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed { \pmb{ \sf {\pink{ LSA \: \approx1580 \: {ft}^{2}}}} }} \\ [/tex]

[tex]\\[/tex]

Hence, Lateral surface area of cone is 1580 feet²

Now, Calculating surface area:

[tex]\dashrightarrow \: \:SA = \pi rl + \pi {r}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi (15)(33.54) + \pi {(15)}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi(503.1) + 22 5 \pi \\ [/tex]

[tex]\dashrightarrow \: \: SA = 728.1 \pi \\ [/tex]

[tex]\dashrightarrow \: \:SA = 728.1 \times 3.14 \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed{ \pmb{ \pink{ \sf{SA \approx2287 \: {ft}^{2} }}}}} [/tex]

[tex]\\[/tex]

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex](7^5)^3[/tex]

To find the answer we simply have to apply the exponent rule and multiply the exponents.

[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]

Your answer is "7^15" or option D.

Hope this helps.

Answer:

7^15

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7^5^3

7^(5*3)

7^15

Answer:

48%

Step-by-step explanation:

P (not getting a speckled rock) = 12/18 = 2/3

P (not getting a green rock) = 13/18

2/3 * 13/18 = 26/54 = 13/27 ≈ 48%

The worth of the old scanner machine in the open market will be $86601.60.

To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.

The calculation of the worth of the scanner goes thus:

Let the worth be represented by x.

x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)

= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50

0.4021x = 34822.50

Divide by 0.4021

x = 34822.60/0.4021

x = 86601.60

Therefore, the worth is $86601.60.

Learn more about open market on:

https://brainly.com/question/1426204

Answer:

Together they equal 180 l so you need to do 180-128 which equals 52. The answer is <D measures 52

Step-by-step explanation:

Answer:

(0, -14)

Step-by-step explanation:

Midpoint formula: [tex](x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

The value of n is 3, value of m is 2 and the value de m + n + p is -2.

In this question we must analyze a null polynomial and determine three unknown variables. A null polynomial is those whose coefficients are equal to zero.

Therefore, we must resolve the following system of linear equations:

3 · n - 9 = 0   (1)

m - 2 = 0       (2)

p + 7 = 0       (3)

The solution of this system of linear equations is: n = 3, m = 2, p = -7. The value of n is 3, value of m is 2 and the value de m + n + p is -2. [tex]\blacksquare[/tex]

To learn further on polynomial, we kindly invite to check this verified question: https://brainly.com/question/23542646

Answer:

x = -3.5

Step-by-step explanation:

−2.4x=8.4

Divide both sides by −2.4.

x= 8.4/-2.4

Expand 8.4/-2.4 by multiplying both numerator and the denominator by 10.

x= 84/-24

Reduce the fraction 84/-24 to lowest terms by extracting and canceling out 12.

x= −7/2

​-7/2 = -3.5

Answer:

-3.5

Step-by-step explanation:

Hello there?

given such a question,

You have to carry out division on of both RHS and LHS.

Take -2.4 and divide through -2.4{LHS} and 8.4{RHS}.

You are then remained with 1(x) in LHS and -3.5 in RHS

-2.4x /(-2.4)= {8.4}/(-2.4)

= -3.5

I hope this helps. Have a nice studies

Answer:

no sure about the answer

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

Hope that helps ~~~

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1

Answer:

The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7

Step-by-step explanation:

The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.

Answer:

7

Step-by-step explanation:

The degree of a polynomial is the highest exponent in a polynomial.

Standard Form

To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.

Degree

From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.