Based on the information marked in the diagram, ABC and DEF must be
congruent.
A. True
B. False

Answer:

x = −3.737034184 or 1.070367517

Step-by-step explanation:

This is my working for this question

−3x^2−(8x−12)=8x−12−(8x−12)

−3x^2−8x+12=0 // first make it =0

Now we know a=-3, b=-8, c=12

then use quadratic formula for answer

x = −3.737034184 or 1.070367517

Answer:

1) 4*(-2)-3=-11

2) 5(0+1)=5*1=5

3) 3*-9+4=-23

4)(12-1)6=66

5) -7*(-1)=7

Step-by-step explanation:

Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.

First, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or balance after deducting vanessa’s down payment = ?

P = Monthly payment = $1,595.85

r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333

n = number of months = 30 * 12 = 360

Substitute the values into equation (1), we have:

PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55

Now, the amount of vanessa’s down payment can be calculated as follows:

Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45

Learn more about the present value of an ordinary annuity here: https://brainly.com/question/17112302.

#SPJ4

Answer:

5.7 feet

Step-by-step explanation:

Given:

[tex]\text{Height of triagle: 5 ft}[/tex]

Formula;

[tex]\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the height and the area in the formula;

[tex]\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]

Use cross multiplication;

[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]

[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]

Simplify the left hand side;

[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]

[tex]\implies28.5= \text{Base} \times 5[/tex]

Divide both sides of the equation by 5;

[tex]\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]

[tex]\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}[/tex]

Therefore, the measure of the base is 5.7 feet.

Answer:

5.7 feet

Step-by-step explanation:

The area formula for a triangle: A=(1/2) Base x Height

1. What we know: 14.25=(1/2)Base x 5

2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.

3. The last thing we have to do is divide 5: 5.7=base.

4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25

Explanation:

The point (3,a) means that x = 3 and y = a pair up together

Plug in those values and compute 'a'

y = 9-4x

a = 9-4(3)

a = 9-12

a = -3

The point (3, a) updates to (3, -3)

The point (3, -3) is on the line y = 9-4x

Answer:

k=9

Step-by-step explanation:

Here's how to solve this equation

Step 1: -7(k+9)=9(k-5)-14k

Step 2: -7k-63=(9k-45)-14k

Step 3: -7k-63=-5k-45

Step 4: -7k=-5k+18

Step 5: -2k=18

Solution: k=-9

Good luck on your assignment, hope this helps

Answer:

Positive corralation

Step-by-step explanation: Algebra 1A-B

7 hours 30 minutes

Sure hope this helps you :D

If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.

An average is basically total sum divided by number whose sum is found. Average= sum/n.

Josephine takes 5 hours to  correct her students test papers.

Josephine and assistant takes 3 hours to correct papers.

Let the test paper contains 100 questions.

In 1 hour Josephine checks 100/5 =20 questions per hour.

In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.

In 1 hour assistant checks 33.33-20=13.33 questions.

Time taken by assistant to try to to work alone=100/13.33=7.5 hours.

Hence to try to to the work alone the assistant takes 7.5 hours.

Learn more about average at https://brainly.com/question/20118982

#SPJ2

Answer:  slope = 1/6

Reason:

The given equation is in slope-intercept form y = mx+b

m = 1/6 = slope

b = 3/2 = y intercept

Answer:

A-19.5

Step-by-step explanation:

You take 39 and times it by 50%

The divide 50 by 100

39 times 50/100

=19,5

Answer:

D. 78

Step-by-step explanation:

Step-by-step explanation:

[tex]at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5[/tex]

Answer: 20

Step-by-step explanation:

1 candy into 1/4 is 4 pieces
5candy will be 20 pieces

In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

We have:

Amplitude A = 6 cm

Time period = 8 seconds

T = 2π/w

8 = 2π/w

w = π/4

Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.

d(0) = -6 cm at t = 0

The equation becomes:

[tex]\rm d = 6sin(\dfrac{\pi}{4}t)-6[/tex]

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Learn more about the simple harmonic motion here:

https://brainly.com/question/17315536

#SPJ1

Answer:

=6.186

explanation;

first divide then u will get this

6+1×0.1+8×0.01+6×0.001

second multiply then you will get this

6+0.1+0.08+0.006

third you will get the answer which is

=6.186

Answer:

Map Scale Equivalents

Map Scale Miles to Inches

1:100,000 1.6 miles = 1 inch

1:126,700 2 miles = 1 inch

1:150,000 2.4 miles = 1 inch

1:200,000 3 miles = 1 inch

Step-by-step explanation:

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

From the formula for probability,

[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]

Total number of possible outcomes = 30

[tex]P(penny) = \frac{8}{30}[/tex]

[tex]P(penny) = \frac{4}{15}[/tex]

The probability of selecting a penny is 4/15

[tex]P(nickel) = \frac{10}{30}[/tex]

[tex]P(nickel) = \frac{1}{3}[/tex]

The probability of selecting a nickel is 1/3

[tex]P(dime) = \frac{7}{30}[/tex]

The probability of selecting a dime is 7/30

First, we will calculate the probability of selecting a quarter

[tex]P(quarter) = \frac{5}{30}[/tex]

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

Then, the probability of selecting a dime or a quarter is

[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]

[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]

The probability of selecting a dime or a quarter is 2/5

Hence,

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

Learn more on Probability here: https://brainly.com/question/251701

#SPJ1

Step-by-step explanation:

Diameter =30

radius=30/2=15

area =πr²

=π×15²

= π×(15)(15)

=225π cm² or 706.95cm²

circumference C=πD

C=3.142×30cm

C=30πcm or 94.26cm

Answer:

Perimeter = 12.5 cm

Step-by-step explanation:

    d = 7 cm

    [tex]\sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}[/tex]

                                                       [tex]\sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm[/tex]

   Perimeter = radius + radius + circumference of quarter circle

                     = diameter + circumference of the quarter circle.

                      = 7  + 5.5

                      = 12.5 cm

Answer:

24.997

Step-by-step explanation:

its actually really hard for me to explain im sorry i only know the answer-

The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

Evaluate

f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

Expand

f(x) = x^2 - 4

Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

Read more about vertex at:

https://brainly.com/question/18797214

#SPJ4

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer: 10 Slices

Step-by-step explanation:

10 slices of cheese is about $0.24 a slice.

12 Slices of cheese is about $0.26 a slice.

So 10 slices is the better deal.

Answer:

18 square units

Step-by-step explanation:

The top line has 5 shaded squares

The next line has 5 shaded squares

The third line from the top has 2 squares

The fourth line from the top has 2 squares

The fifth line from the top has 2 squares

The sixth line from the top has 2 squares

Add them together

5+5+2+2+2+2 = 18

18 square units

Answer:

Step-by-step explanation:

L can be  1/3, 1/3

Step-by-step explanation:

ANSWER MY RECENT question

Answer:

Step-by-step explanation:

Method

The smallest the third side can be is something just larger than 2

You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself

The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.

Answer

2<s<18

A

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

Things we need to keep in mind in order to plot a point :

Signs of the coordinates shows which side it lies on.

similarly,

Now, let's proceed ~

First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.

So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.

Answer:

f(x) ≈ 58.20x2 + 18.96x + 34.46

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

113 − 34 = 79

304 − 113 = 191

615 − 304 = 311

1042 − 615 = 427

1584 − 1042 = 542

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

191 − 79 = 112

311 − 191 = 120

427 − 311 = 116

542 − 427 = 115

The second differences are approximately the same so we will use a quadratic function to represent the data.

Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.

f(x) ≈ 58.20x2 + 18.96x + 34.46

Answer: 12 divided by 3 equals 4

Step-by-step explanation: this should answer your question if not, then please feel free to message me.

According to the given information, the difference between 12 and 3 is  9 and the quotient of 12 and 3 is 4. Hence, the Product of the difference and the quotient is 36.

Use the concept of multiplication defined as:

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

To find the product and quotient you mentioned,

Break it down step by step.

First, let's find the difference between 12 and 3.

The difference is the result of subtracting one number from another.  So,

12 - 3 = 9.

Next, let's find the quotient of 12 and 3.

The quotient is the result of dividing one number by another. So,

12 ÷ 3 = 4.

Finally, to get the product of the difference and the quotient,

We multiply them together.

In this case,

9x4 = 36.

Hence, the product of the difference between 12 and 3 and the quotient of 12 and 3 is 36.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

The option that is correct about the central limit theorem is D (II only).

According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.

As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).

Learn more about Central Limit Theorem:

https://brainly.com/question/18403552

#SPJ1

Answer:

x 1 2 3 4 5

y 5 10 15 20 25

in x =n+1

in y=5n