can a quadrilateral be both a rectangle and a rhombus

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

Answer:

trapezoid (U.S.A.)

trapezium (UK)

Step-by-step explanation:

On the right side, two sides are perpendicular to the same side. That makes those two sides parallel. A quadrilateral with 2 parallel sides is a trapezoid (in the U.S.) or trapezium (in the UK.)

Answer:

It’s a trapezoid

Step-by-step explanation:

A trapezoid can have a flat side and can look normal.

Answer:

a)

mean of the Standard normal distribution is μ = 0

Standard deviation of the Standard normal distribution σ = 1

b) P( Z < 1.96) = 0.9744

c)

P( - 0.41 < Z) = 0.6591

d) h = 0.3

Step-by-step explanation:

Step(i):-

a)

Given X be a continuous random variable in Normal distribution

The Normal distribution for μ = 0 and σ = 1 is known as Standard normal distribution

mean of the Standard normal distribution is μ = 0

Standard deviation of the Standard normal distribution σ = 1

b)

P( Z < 1.96) = 0.5 + A(1.96)

                  = 0.5 + 0.4744

                  = 0.9744

P( Z < 1.96) = 0.9744

c)

P( - 0.41 < Z) = P(Z > -0.41)

                    = 0.5 +A(-0.41)   (∵ A(-0.41) = A(0.41)

                    = 0.5 + 0.1591

                    = 0.6591

P( - 0.41 < Z) = 0.6591

d)i)  If  h >0

      P( z < h) = 0.20

 ⇒  0.5 +A(z) = 0.20

 ⇒      A(Z) = 0.20 - 0.5

⇒      A(Z) = - 0.3

          h = -0.3

if h < 0

   P( z < h) = 0.20

 ⇒  0.5 -A(z) = 0.20

 ⇒      A(Z) =0.5 - 0.2

⇒      A(Z) =  0.3

          h = 0.3

Answer:

5 of 23 cents

10 of 32 cents

15 of 37 cents

In total that is 30 stamps.

Step-by-step explanation:

This is going to be long, so bear with me.

0.23x  + 0.32y +0.37z = 9.90

Here we define our variables.

Because we know that there is twice as much 32 cent stamps compared to 23 cents, we know: y =2x

So we can change that in the equation.

0.23x + 0.32(2x) + 0.37z = 9.90

0.23x + 0.64x + 0.37z = 9.90

We also know that there are 5 more 37 cent stamps than 32 cents.

So we can change all instances of z to 2x+5

0.23x + 0.64x + 0.37z(2x+5) = 9.90

0.23x +0.64x +0.74x +1.85 =9.90

Algebra:

0.23x +0.64x +0.74x = 9.90 -1.85

1.61x = 8.05

x = 5

From here we can just substitute it out and we find our values.

x = 5

y = 5 * 2

z = (5*2) +5

Answer:

0.421

Step-by-step explanation:

add all numbers: 59 + 68 + 12 + 1 = 140

blue jays: 59

p(blue jay) = 59/140 = 0.421

Answer:

0.421

Step-by-step explanation:

59 + 68 + 12 + 1 = 140

59/140 = 0.421

Answer:

change in y

over

change in x

---------------------------------------

please make me brainliest

Answer:

98

Step-by-step explanation:

First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.

Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)

This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.

Answer: 98

Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.

So we have 49/4 ÷ 1/8.

Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.

Before multiplying however, always try to cross-cancel.

In this problem, the 4 and 8 cross-cancel to 1 and 2.

So we have 49/1 × 2/1 which is 98/1 or 98.

Answer:

7:10:34

Step-by-step explanation:

1. Ratio outline:

       Length 1:Length 2:Perimeter

2. Length 1 = 35 feet

3. Length 2 = 50 feet

4. Perimeter = Length of all sides

     - Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170

5. Substitute the values into the ratio outline:

        35:50:170

6. Convert into simplest form: Divide by greatest common factor (5)

         7:10:34

Answer: 172

 If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.

-227-55= -172

Absolute value=172

Answer:

We fail to reject H₀.

At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.

Step-by-step explanation:

The hypothesis for the statistical test is defined as follows:

H₀ : μ =25 vs. Hₐ : μ > 25

The test statistic value is, z₀ = 0.22.

The p-value of the test is, p-value = 0.41.

The significance level is, α = 0.05.

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

Here, p-value = 0.41 > α = 0.05.

The null hypothesis was failed to be rejected at 5% level of significance.

Conclusion:

There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.

Answer:

x = -0.23

Step-by-step explanation:

2000=5000e^4x

=> e^4x = 2000/5000 = 2/5

taking the natural logarithn on LHS and RHS

ln e^4x = ln2/5

=> 4x lne = ln2/5

we know ln e = 1, also ln a/b = lna - ln b

ln 2 = 0.693, ln 5 = 1.609

4x = ln2 - ln5

4x = 0.693 - 1.609

x = -0.916/4 = -0.229

Thus, x = -0.23 rounded to two decimal place.

Answer:

f(3) = 1

Step-by-step explanation:

We have been given:

f(1) = 25

f(n) = f(n-1) · (-1/5)

Find f(2) by substituting n=2 in the given equation:

f(n) = f(n-1) · (-1/5)

f(2) = f(2-1) · (-1/5)

f(2) = f(1) · (-1/5)

where f(1) given in the question is 25, substitute it in the equation

f(2) = 25 · (-1/5)

f(2) = -5

Find f(3) by substituting n=3 in the given equation

f(n) = f(n-1) · (-1/5)

f(3) = f(3-1) · (-1/5)

f(3) = f(2) · (-1/5)

where f(2) found in the previous step was -5, substitute it in the equation.

f(3) = -5 · (-1/5)

f(3) = 1

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

100 and 80 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.  Here we are to find two such angles that are in the ratio 5:4.  To do this, we set up and solve the following equation:

5x + 4x = 180, or

9x = 180, or

x = 20.

Then one angle is 5(20) and the other is 4(20), or 100 and 80.

Note that these two angles add up to 180 degrees, as they must.

The two supplementary angles are 100 and 80 degrees.

Answer:

I apologize for the confusion caused. Let's go through the problem again to determine the correct answer.

We have a police helicopter flying at 120 mph at an altitude of 1.5 miles above a highway. The radar detects an oncoming car at a distance of exactly 3 miles from the helicopter, and this distance is decreasing at a rate of 190 mph.

To find the speed of the car, we need to consider the relative motion between the car and the helicopter. From the perspective of the helicopter, the car's speed is the sum of its own speed and the rate at which the distance is decreasing.

Let's denote the speed of the car as "v_car" and the speed of the helicopter as "v_helicopter." The relative speed between the car and the helicopter is the difference between the two speeds, given by:

Relative speed = v_car - v_helicopter

Since the distance between the car and the helicopter is decreasing at a rate of 190 mph, the relative speed is -190 mph (negative because the car is approaching the helicopter).

However, since we want to find the speed of the car, we need to consider the magnitude of the relative speed. Taking the absolute value, we have:

|Relative speed| = |v_car - v_helicopter| = |-190|

Now, let's solve for the speed of the car:

|v_car - 120| = 190

We can solve this equation by considering two cases:

Case 1: v_car - 120 = 190

v_car = 190 + 120

v_car = 310 mph

Case 2: -(v_car - 120) = 190

-v_car + 120 = 190

v_car = 120 - 190

v_car = -70 mph

Since speed cannot be negative, we discard Case 2.

Therefore, the correct answer is that the speed of the car, as detected by the radar, is 310 mph.

Let's assume that the measure of angle 1 is represented by "x" and the measure of angle 2 is represented by "y". We are given that the ratio of the measures of angle 1 to angle 2 is 5:4. This can be expressed as:

x:y = 5:4

Since the angles are supplementary, the sum of their measures is 180 degrees:

x + y = 180

To solve this system of equations, we can use the ratio given to express one variable in terms of the other. Let's express "x" in terms of "y":

x = (5/4) * y

Substituting this expression for "x" into the second equation:

(5/4) * y + y = 180

Multiplying through by 4 to eliminate the fraction:

5y + 4y = 720

9y = 720

Dividing both sides by 9:

y = 80

Substituting the value of "y" back into the expression for "x":

x = (5/4) * 80

x = 100

Therefore, the measures of the supplementary angles that satisfy the given ratio are angle 1 with a measure of 100 degrees and angle 2 with a measure of 80 degrees.

I am very sorry maybe I did mistake in the previous questions answer so this is the revised ONE and sO please DO SEE once okay !!!

Answer:

2x² - 9x - 5

Step-by-step explanation:

Step 1: FOIL

2x² - 10x + x - 5

Step 2: Combine like terms

2x² - 9x - 5

Answer:

2x^2−9x−5

Step-by-step explanation:

(2x+1)(x−5)

=(2x+1)(x+−5)

=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)

=2x^2−10x+x−5

=2x^2−9x−5

Answer:

c

Step-by-step explanation:

if you substitute 0 into the original equation you get the point 0, a+c

Answer:

I think it's a,c,and e that aren't polynomials

Answer:

A, C, and E

Step-by-step explanation:

A is not a polynomial because its exponents is negative.

C is not a polynomial because the power of x is ½ and exponents can only be integers

E is not a polynomial because one cannot divide by a variable and the exponent of x is negative

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

f(x) = (x² + 4)(x² - 9)

To find the zeros let f(x) = 0, that is

(x² + 4)(x² - 9) = 0

Equate each factor to zero and solve for x

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i

Thus zeros are

x = - 3, x = 3 ← real

x = - 2i, x = 2i ← complex

Answer:

I think similar is the correct answer

Answer:

The answer is number 2 because a positive number is always bigger than a negitive number

Answer:

The functions given are:

f(x) = x²

g(x) = f(-4x-3) + 1

First, find f(-4x-3):

f(x) = x²

f(-4x-3) = (-4x-3)²

Find g(x):

g(x) = f(-4x-3) + 1

g(x) = (-4x-3)² + 1

g(x) = (-1)² (4x+3)² + 1

g(x) = (4x+3)² + 1

First take

y = (x)²

Compress the graph along x axis by multiplying x with 4

y = (4x)²

Shift the graph left by 0.75 units, by adding 3 to x term.

y = (4x+3)²

Shift the graph up by 1 unit by adding 1 to the total terms.

y = (4x+3)² +1

if g(x) = 0, then

x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0

AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.

I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.

Answer:

Step-by-step explanation:

first we will break the parts of the question down:

d= distance

t= time

function: d=t(60)

the independent variable is t, time, because the (distance) that the car travels depends   on how long the car has been traveling for (time) meaning that the dependent value is distance.

A table we can create with 5 coordinate pairs is:

(time)        (distance)

1 hr            60miles

2 hr           120 miles

3 hr          180 miles

4 hr            240 miles

5 hr           300 miles

(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)

Answer:

[tex]y = -\frac{2}{5} x - 11[/tex]

Step-by-step explanation:

So we are given the two coordinate points (-10 , -7) and (-5 , -9).

With the question to "Complete the equation of the line."

So what we do is to compute the slope of both coordinates, which will give us

[tex]-\frac{2}{5}[/tex]

So to complete part of the equation:

[tex]y = -\frac{2}{5} x[/tex]

Now we need to compute the y intercept, since all numbers are negative, there is likely chance [tex]b[/tex] will be a subtraction method.

Compute the y intercept:

[tex]-11[/tex]

Complete the equation :

[tex]y = -\frac{2}{5} x - 11[/tex]

Here is a graph to go with the equation :

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

To learn more about the probability, refer to the link;

brainly.com/question/1210781

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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

Learn more about the probability visit:

https://brainly.com/question/13604758

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Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Answer:

the 2nd one

Step-by-step explanation:

b/c

-5/2x-3≤2

-5/2x≤3+2

-5/2x≤5

-5x≤10

x≥10/-5

x≥-2

Answer:

x^2 -14x +49

( x-7)^2

Step-by-step explanation:

x^2 -14x

We are completing the square

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it

x^2 -14x +49

Take the -7

( x-7)^2

Answer:

D.

Step-by-step explanation:

x^2-14x+49=(x-7)^2