Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =

Answer:

54 degrees

Step-by-step explanation:

The opposite angles in a parallelogram are equal.

At least one other angle must be equal to 54°.

Given that, you are told that one of the internal angles of a parallelogram is 54°.

A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. There are four angles in a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate their angles and sides. Also, the properties are helpful for calculations in problems relating to the sides and angles of a parallelogram.

The four important properties of parallelogram angles and sides are as follows:

The opposite sides of a parallelogram are equal and parallel to each other.

Opposite angles are equal, i.e ∠A = ∠C, and ∠B = ∠D.

All the angles of a parallelogram add up to 360°, i.e. ∠A + ∠B + ∠C + ∠D = 360°.

The consecutive angles of a parallelogram are supplementary, i.e.,

∠A + ∠B = 180°

∠B + ∠C = 180°

∠C + ∠D = 180°

∠D + ∠A = 180°

Now, since opposite angles are equal, then the other angle must be equal to 54°.

Therefore, at least one other angle must be equal to 54°.

To learn more about the angles of parallelogram visit:

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Answer:

l = A/aw

Step-by-step explanation:

Since we want the equation in terms of l, we simply isolate the l by dividing both sides by aw:

A = law

A/aw = law/aw

A/aw = l

Answer:

Laura tiene 15 años mientras que su madre tiene 35 años.

Step-by-step explanation:

Deje que la edad de Laura sea L.

Deje que la edad de su madre sea m.

Tiene 3/7 de la edad de su madre:

L = 3 m / 7

En 5 años, la edad de su madre será el doble de su edad:

(m + 5) = 2 (L + 5)

m + 5 = 2L + 10

m - 2L = 5

Pon el valor de L:

m - 2 (3 m / 7) = 5

m - 6 m / 7 = 5

Multiplica por 7:

7m - 6m = 35

m = 35 años

=> L = 3 * 35/7 = 15 años

Laura tiene 15 años mientras que su madre tiene 35 años.

Answer:

B: 8x^2+5x-6

Step-by-step explanation:

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

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

Answer:

If I were to be honest I think you did it perfectly

Answer:

4x-3y

Step-by-step explanation:

Answer:

none none and none

Step-by-step explanation:

Answer:

  (x -2) is a factor

Step-by-step explanation:

The factor theorem tells you that (x-2) is a factor of g(x) if g(2) = 0.

  g(2) = 2·2³ -5·2² +2 +2 = 16 -20 +2 +2 = 0

Since g(2) = 0, (x -2) is a factor of g(x).

__

The graph shows us the complete factorization is ...

  g(x) = (2x +1)(x -1)(x -2)

Answer:

100%

Step-by-step explanation:

The numbers odd or less than 7 are 5, 6, and 7.

3 numbers out of 3.

3/3 = 1

P(odd or less than 7) = 100%

The difference between the citys highest and lowest recorded temperatures is 60°.

Answer:

A and D

Step-by-step explanation:

Quadrilateral is a four sided figure

Parallelogram is a quadrilateral with two pairs of parallel sides

Answer:

2/5 =0.4

Step-by-step explanation:

Decimals are one of the method of representation of  fractions in which there is  power of 10 in the denominator of the fraction. They are  10,100,1000,10,000 ,100,0000 and so

Example = 1/10 = 0.1

1/100 = 0.01

1/1000 = 0.001

In 2/5 we have to make the denominator 10

since in denominator there is five , can be made 10 by multiplying it by 2

2/2 = 1 and 1* x = x , hence if we multiply numerator and denominator by 2 it won't change the fraction.

2/5×2/2=2×2/5×2=4/10=0.4

Thus, 2/5 =0.4 in decimal form.

Not exactly

The values of the table are determined by the equation

Answer:

36 = 2j + 3

This should be the correct answer to your question

PLease rate and mark brainliac if this helped

Answer:

.321,.33,.4

Step-by-step explanation:

the point is like negative it decreases with

the big number is consider the smallest with the point while without the point the big number remains

Answer:

5,800 people

Step-by-step explanation:

We can find the enrollment for next semester by multiplying:

5,780(1.0035) = 5,800.23

We can round this to 5,800 people.

Answer:

36 yd³

Step-by-step explanation:

The above solid shape given is a triangular prism.

The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)

Base length of triangle (b) = 9 yd

Height of the triangle (h) = 2 yd

Length of the prism (l) = 4 yd

Volume = ½bhl

Volume = ½*9*2*4

Volume = 9*4

Volume of prism = 36 yd³

Answer:

k = -21

Step-by-step explanation:

9/ (2k-3) = 4/(k+1)

Using cross products

9 * (k+1) = 4(2k-3)

Distribute

9k+9 = 8k -12

Subtract 8k from each side

9k-8k +9 = 8k-8k-12

k+9 = -12

Subtract 9 from each side

k+9-9 = -12-9

k = -21

Answer:

[tex]\huge\boxed{k=21}[/tex]

Step-by-step explanation:

[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}[/tex]

First step:

Find domain.

We know: the denominator must be different than 0.

Therefore we have:

[tex]2k-3\neq0\ \wedge\ k+1[/tex]

[tex]2k-3\neq0\qquad\text{add 3 to both sides}\\2k\neq3\qquad\text{divide both sides by 2}\\\boxed{k\neq1.5}\\\\k+1\neq0\qquad\text{subtract 1 from both sides}\\\boxed{k\neq-1}\\\\\text{Domain:}\ x\in\mathbb{R}\backslash\{-1;\ 1.5\}[/tex]

Second step:

Solve for k.

[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}\qquad\text{cross multiply}\\\\9(k+1)=4(2k-3)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(9)(k)+(9)(1)=(4)(2k)-(4)(3)\\\\9k+9=8k-12\qquad\text{subtract 9 from both sides}\\\\9k=8k-21\qquad\text{subtract}\ 8k\ \text{from both sides}\\\\\boxed{k=21}\in\text{Domain}[/tex]

Answer:

1.3 in

Step-by-step explanation:

If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.

Answer:

1.3 in

Step-by-step explanation:

Answer:

12/7

Step-by-step explanation:

y=7x

y=12 ⇒ 7x= 12 ⇒ x= 12/7

Answer:

9.88% probability that fewer than 5 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smartphone is meetings or classes, or they do not. The probability of an adult using their phones is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

56​% use them in meetings or classes.

This means that [tex]p = 0.56[/tex]

12 adult smartphone users are randomly​ selected

This means that [tex]n = 12[/tex]

Probability that fewer than 5 of them use their smartphones in meetings or classes.

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.56)^{0}.(0.44)^{12} = 0.0001[/tex]

[tex]P(X = 1) = C_{12,1}.(0.56)^{1}.(0.44)^{11} = 0.0008[/tex]

[tex]P(X = 2) = C_{12,2}.(0.56)^{2}.(0.44)^{10} = 0.0056[/tex]

[tex]P(X = 3) = C_{12,3}.(0.56)^{3}.(0.44)^{9} = 0.0239[/tex]

[tex]P(X = 4) = C_{12,4}.(0.56)^{4}.(0.44)^{8} = 0.0684[/tex]

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0001 + 0.0008 + 0.0056 + 0.0239 + 0.0684 = 0.0988[/tex]

9.88% probability that fewer than 5 of them use their smartphones in meetings or classes.

Answer:

Option (2)

Step-by-step explanation:

Option (1)

In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.

Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.

And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.

Option (2)

In this option, graph is below the x-axis in the interval [-1, 1].

Therefore, the given graph is negative in this interval.

Option (3)

In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.

Option (4)

In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.

So this function is positive in the interval [-1, 1].

Therefore, Option (2) will be the answer.

Answer:b since I got the others wrong

Answer:

[tex]3\sqrt{6}[/tex]

Step-by-step explanation:

We are to determine the limit below.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}[/tex]

Plug in 8 into the function.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}[/tex]

Answer:  c) 88

Step-by-step explanation:

8, -16, 32, ...

We can see that each previous term is multiplied by -2

so the next two terms will be 32(-2) = -64 and -64(-2) = 128

So the first 5 terms of the sequence is:  8, -16, 32, -64, 128

Add the positive numbers and the negative numbers, then find their sum.

8 + 32 + 128 = 168

   -16 + (-64) = -80  

              Sum = 88    

Answer:

$11,450

Step-by-step explanation:

thats the median price according to Google

Answer:

this equation has no solution

Step-by-step explanation:

The side opposite to angle B is the side that does not contact with angle B.

In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.

Therefore, the lenght of the side opposite to angle B is 4 units.

Answer:

B 4Units

Step-by-step explanation:

Edg 2020 or maybe 2022

Answer:

(x+4) or (x-1)

Step-by-step explanation:

Do this by factoring out your equation. To do this, think about which two numbers multiply to be -4 but also add up to be 3 (the -4 came from multiplying the first value (the 1 that is attached to the [tex]x^{2}[/tex]) and the last value, which is -4. The 3 came from the middle term).

The two numbers you should have gotten are 4 and -1. Therefore, (x+4) and (x-1) are both of the binomials that could be your answer