Solve for both x and y in the parallelogram below.

Solve For Both X And Y In The Parallelogram Below.

Answers

Answer 1

Answer:

x is 14 and y is 13

Step-by-step explanation:

[tex]{ \sf{(4y - 5) = (3y + 8)}} \\ { \sf{y = 13}}[/tex]

[tex]{ \sf{(x + 12) = 2y}} \\ { \sf{x + 12 = 2(13)}} \\ { \sf{x + 12 = 26}} \\ { \sf{x = 14}}[/tex]

Answer 2

4y-5=3y+8( opposite sides of parallelogram are equal)

or, 4y-5-3y=8

or, 4y-3y=8+5

.•. y=13

now,

x+12=2y

x+12=2*13

x=26-12

.•. x=14


Related Questions

HELP ME PLZZ...Complete this proof...BRAINLY TO HELPFUL ANSWER

Answers

Answer:

1. Angles 2, 3 and angles 1,3 are complementary angles(Given)

2. To prove :

Since Angles 2, 3 and angles 1,3 are complementary.

When angles are complementary, then the sum of the measures of angles is 90 degrees.

So,  and  (Definition of Complementary angles)

3.  (Substitution)

4.  (Subtraction property of equality)

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c, plus, 36, d, plus, 18, equals

Answers

Answer:

[tex]6(4c + 6d + 3})[/tex]

Step-by-step explanation:

Given

[tex]{24c + 36d + 18}[/tex]

Required

Apply distributive property

We have:

[tex]{24c + 36d + 18}[/tex]

Factor out 6 (to apply distributive property)

[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]

Hence, the equivalent is:

[tex]6(4c + 6d + 3})[/tex]

There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to the school forming a crew team and 1/8 of the remaining students (not sophomores) are also opposed to forming a crew team, how many students are in favor of this idea?

Answers

Answer:

4

Step-by-step explanation:

2/5*3000 = 1200 seniors

then

3000 - 1200 = 1800 students not seniors

therefore

4/5* 1200 = 960 do not like rock climbing

and

9/10** 1800 = 1620 also do not like it:

"how many students are in favor of this idea?"

subtract the "don't likes" from 3000

3000 - (960+1620) = 420 like rock climbing:

3x-x+2=4

Step-by-step explanation:

here's the answer to your question

if the rate store is constant which statement correctly compares the cost of a package 20 cd's

Answers

Answer:

rufvkslvUtepgsohch. h,kh jblfc.

Please solve these radical equations and show the steps so that I can understand them. In my notes, it says the steps are to Isolate the radical, square both sides, solve for the variable, and check for the extraneous solutions so if this is what you are supposed to do please show these steps in action. Thank you for your time.

Answers

Answer:

1) X = 0

2) X = 0 or X = 1

Step-by-step explanation:

1)

[tex] \sqrt{6x} + 9 + 2 = 11 [/tex]

6x = 0 since root can only be = 0 if radicand is 0

X = 0

2)

[tex] \sqrt{x} - 3 + 3 = x[/tex]

[tex] \sqrt{x} = x[/tex]

X = x^2 ( We are squaring both sides to simplify)

x-x^2 = 0

x (1-x) = 0 (Factor the expression)

X = 0 or

1 -x = 0

X = 1

Answered by Gauthmath

f(x)=x^2. What is g(x)?

Answers

Answer:

g(x)= 4x²

The choose (A)

I hope I helped you ^_^


Classify the following triangle. Check all that apply

Answers

Answer: (F)

Step-by-step explanation:

The answer is F is the correct answer

can i get some help please

Answers

Hi there!

[tex]\large\boxed{102^o}[/tex]

Using the triangle exterior angle theorem, we know that:

∠4 = the other two angles of the triangle combined (both are given)

Thus:

∠4 = 51 + 51 = 102°

Angle 4 is an outside angle.

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

The two opposite inside angles to angle 4 are shown as 51 and 51

Angle 4 = 51 + 51

Angle 4 = 102 degrees.

SOMEONE HELP ME PLEASE

Answers

Answer:

547

Step-by-step explanation:

why because it is

so big

Answer:

Step-by-step explanation:

This question suffers from being incomplete which is why you are likely unable to answer it. The problem is: what does advanced mean.

Does it mean post bachelor?Does it mean a masters?Does it mean just extra classes above what you know to be true.

I'm going to answer this on the basis of what I can see which is just a bachelor's degree.

First find the total of the entire table.

There are 6 entries 224 + 387+547+776+245+322=2501

Now P(Bachelor) = 547 / 2501 = 0.2187


Find x if AC = 7x - 15 and BD = 4x + 15

Answers

Answer:

x = 10

Step-by-step explanation:

7x - 15 = 4x + 15

7x - 4x = 15 + 15

3x = 30

x = 10

Answer:

x = 10

Step-by-step explanation:

Given that AC and BD are congruent , then

7x - 15 = 4x + 15 ( subtract 4x from both sides )

3x - 15 = 15 ( add 15 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Provide a real-world situation in which it would be appropriate to use a geometric sequence or series. Be sure to explain why a series or a sequence is more appropriate

Answers

Step-by-step explanation:

Well talking about the practical use of Arthematic sequence or series..

i have an example..

suppose there is a highway and in most condition.. Petrol or diesel station are kept in a common distance..

now you can easily calculate or predict where the next petrol or diesel station is ..

and about Geometric sequence or series

There are many uses of geometric sequences in everyday life, but one of the most common is in calculating interest earned. Mathematicians calculate a term in the series by multiplying the initial value in the sequence by the rate raised to the power of one less than the term number. The sequence allows a borrower to know the amount his bank expects him to pay back using simple interest

and

Physicists use geometric progressions to calculate the amount of radioactive material left after any given number of half-lives of the material. During each half-life, the material decays by 50 percent.

A square has a perimeter of 4 cm. What is the length of each side?

Answers

Answer:

1 cm

Step-by-step explanation:

Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.

The area of that square is 1 cm x 1 cm, which is 1 cm2.

Step-by-step explanation:

since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm

= ans is 1cm^2

Is it True or false ?? Explain .

Answers

Answer:

False

Step-by-step explanation:

The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.

Answer:

False

Step-by-step explanation:

(X+y)^2 = x^2 + 2xy + y^2

First you expand and then distribute

The rule is:

(a+b) ^2 = a^2 + 2ab + b^2

Answered by Gauthmath

Express 3x-2/(x-1)(x-2) ​

Answers

Answer:

3x-2/x²-3x+2

Step-by-step explanation:

you have to expand the bottom equations

(x-1)(x-2)

x(x-2)-1(x-2)

x²-2x-x+2

x²-3x+2

now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.

3x-2/x²-3x+2

I hope this helps

f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.

what is the sign of f on the interval 3/7 < x < 5 ?

1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.

Answers

The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.

Given function is

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.

But if x = 3 then (x - 5) will be negative and (2x - 7)  will also be negative and hence overall value will be negative

Hence the function f is sometimes positive and sometimes negative on the interval.

For more about the function

brainly.com/question/23712366

#SPJ5

Answer:

always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy

Step-by-step explanation:

What is the area of the figure shown? Plz explain!

Answers

Answer:

D. ½y(x+z)

Step-by-step explanation:

the area = (x.y)+(½y(z-x))

= xy + ½ (yz -xy)

= xy +½yz -½xy

= ½xy + ½yz

= ½y(x+z)

Find the measures of

Answers

Answer:

Step-by-step explanation:

Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.

From the picture attached,

m(∠A) = [tex]\frac{1}{2}m(\text{arc BD})[/tex]

           = [tex]\frac{1}{2}[m(\text{BC})+m(\text{CD}][/tex]

           = [tex]\frac{1}{2}[55^{\circ}+145^{\circ}][/tex]

           = 100°

m(∠C) = [tex]\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})][/tex]

           = [tex]\frac{1}{2}(360^{\circ}-200^{\circ})[/tex]

           = 80°

m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]

115° + m(∠D) = 180°

m(∠D) = 65°

m(arc AC) = 2[m(∠D)]

m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]

m(arc AB) + 55° = 130°

m(arc AB) = 75°

m(arc ADC) = 2(m∠B)

m(arc AD) + m(arc DC) = 2(115°)

m(arc AD) + 145° = 230°

m(arc AD) = 85°

Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

Answers

Answer:

[tex]6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs [tex]AB=3[/tex], [tex]BC=4[/tex], and [tex]AC=5[/tex]. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. Therefore, the area of this right triangle is:

[tex]A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}[/tex]

The other triangle is a bit trickier. Triangle [tex]\triangle ADC[/tex] is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).

The semi-perimeter, [tex]s[/tex], is:

[tex]s=\frac{5+5+4}{2}=\frac{14}{2}=7[/tex]

Therefore, the area of the isosceles triangle is:

[tex]A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}[/tex]

Thus, the area of the quadrilateral is:

[tex]6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}[/tex]

fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .​

Answers

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

PLEASE HELP ASAP PLEASE!!!!!!!
Find the measure of GE.
A. 20
B. 14
C. 15
D. 16

Answers

The answer is C. 15 sksijahahahaiqiwkanjajakakaka

What is the domain of the square root function graphed below?

Answers

Answer:

D

Step-by-step explanation:

The graph clearly shows that x=>3

Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?

Answers

If she already has 12 signatures: 60 - 12 = 48

48/3 = 16

so, she and her friends need at least 16 signatures each.

p being person;

p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)

Determining a Local Maximum and Minimum

Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___

Answers

Answer:

x=-1x=-3

Step-by-step explanation:

Algebra level

[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E​

Answers

Answer:

Point C

Step-by-step explanation:

We want to reflect across the x axis

That means the y coordinate changes sign

Z = ( 5 1/2 , 3)

Z' = ( 5 1/2 , -3)

That is point C

Which is not an equivalent expression

Answers

D is not the equivalent. For sure

Please answer this!!!!!!

Answers

Answer: 39°

Step-by-step explanation:

Angle of depression must be less than 90° but greater than 0°

Someone help on these

Answers

Problem 5

Start with the 30-60-90 triangle template

If you divide all values in that template by 2, then you'll get the diagram shown below.

Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2

So that diagram shows that cos(30) = sqrt(3)/2

Answer: Choice A) 30 degrees

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

Problem 6

Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive

tan = sin/cos = negative/negative = positive

So tangent is positive in Q3

Answer: Choice C) tangent

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

Problem 7

Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.

So,

cos(170) = cos(-170)

Then we'll find a coterminal angle of -170 which involves adding on 360

-170+360 = 190

The angles -170 and 190 point in the exact same direction

This then means cos(170) = cos(-170) = cos(190)

Or in short, cos(170) = cos(190)

Answer: Choice A)  cos(190)

find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]

Answers

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.

Step-by-step explanation:

There are mistakes in the statement, correct form is presented below:

[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].

By direct comparison we have the following system of equations:

[tex]a = 5[/tex] (1)

[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)

In (2) we solve for [tex]b[/tex]:

[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]

[tex]b = -\frac{15}{7}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Solution given:

note=diameter=2*radius

1:

Area of circle =πr²=22/7*(21/2)²=346.5cm²

2:

radius (r)= 3 ½=7/2cm

Area of circle =πr²=22/7*(7/2)²=38.5cm²

3;

radius (r)=14/2=7cm

Area of circle =πr²=22/7*(7)²=154cm²

note:

π=3.14 or 22/7

i use 22/7 over here
What he said^^!:) have a nice day

What is the y-intercept of f(x) = see
Picture

Answers

Answer:

(0,1)

Step-by-step explanation:

f(x) = (1/2)^x

To find the y intercept, let x = 0

f(x) = (1/2) ^0

f(x) = 1

(0,1)

Other Questions
grafting requires both a scion and a rootstock. true or false 4.Complete using the words in the box. There is one word you won't need and one that you may use twice. going must ought should have had wouldn't might Hi Sally! ThanKS for your e mail two weeks ago. I know 1 ....................... have replied sooner, but I've been so busy! About three weeks ago, I (2 ) ....................... to g o to London for a job interview. It went well, and the next day they called me up and offered me the job! I'm (3 ) ....................... to be working for a natonal newspaper!!! It's not certain yet, but I (4)....................... have to go on a short training course before I start. What I do know is that I'll (5 ) ........................ to move to London to live,and tnat's (6)....................... to mean selling my house here in Manchester. I've already started packing up all my stuff. 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Ellos perfeccionan la naturaleza y son perfeccionados por la experiencia, las habilidades naturales son como las plantas, deben ser podadas por el estudio; y los estudios que toman direcciones demasiado generales, deben ser limitados por la experiencia. Los hombres prcticos desprecian los estudios, los hombres simples los admiran, y los hombres sabios los usan; ya que ellos ensean, no su propio empleo; sino que esta es una sabidura que est ms all de ellos, y por encima de ellos, ganada por la observacin. Hay que leer, pero no para contradecir y refutar; ni para creer y dar por sentado; ni para encontrar conversacin y discurso; sino para pesar y considerar. Algunos libros deben ser probados, otros deben ser tragados, y unos pocos deben ser masticados y digeridos; es decir, algunos libros deben ser ledos slo en partes; otros deben ser ledos, pero no cuidadosamente; y unos cuantos debern ser ledos totalmente con diligencia y atencin. Algunos libros tambin pueden ser ledos por comentarios y extractos hechos por otros; pero esto sera slo en los argumentos menos importantes, y en el tipo ms miserable de los libros, adems aquellos que son destilados se parecen a las aguas destiladas, es decir inspidas. La lectura hace al hombre completo, la conversacin lista; y la escritura exacta. Por lo tanto, si un hombre escribe poco, tendr necesidad de una gran memoria; si consulta poco, tendr necesidad de mantener su ingenio presente: y si lee poco, tendr necesidad de ser astuto, para que parezca saber lo que no sabe. Las historias hacen a los hombres sabios; los poetas, los hacen ingeniosos; las matemticas, sutiles; la filosofa natural, profundos; graves, la moral; la lgica y la retrica, capaces de competir. Abeunt studia in mores [Los estudios terminan en las costumbres]. An ms, no hay ninguna dilacin o impedimento en el ingenio, pero puede ser forjado por estudios ms aptos; as como con las enfermedades del cuerpo que pueden tener ejercicios ms apropiados. Los bolos son buenos para el mal de piedra y los riones; aspirar fuertemente, para los pulmones y el pecho; un paseo apacible para el estmago; la equitacin para la cabeza; y otros por el estilo. Si el ingenio de un hombre divagara, djele estudiar matemticas; ya que en las demostraciones si su ingenio se distrajera, aunque sea un poco, habra de empezar de nuevo. Si no es apto para distinguir o encontrar diferencias, djele estudiar a los Escolsticos; ya que ellos son cymini sectores [los que parten cabellos en cuatro]. Si no es bueno para discutir sobre algunos asuntos, y enunciar una cosa a fin de demostrar e ilustrar a otros, djele estudiar los casos de los abogados. Entonces para cada defecto de la mente se puede tener una receta especial.cul es la posicin del autor? 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