ABCD is a rectangle.

Rectangle A B C D is shown. All angles are right angles. The length of A D is 5 and the length of D C is 12.

Use the diagram to answer the questions.

The length of AB is
.

The length of BC is
.

The length of AC is
.

Answers

Answer 1

Answer:

AB = 12    BC = 5   AC = 13

Step-by-step explanation:

opposite sides of a rectangle are congruent, therefore AB = DC = 12

and BC = AD = 5.

Now, AC is found by using the Pythagorean theorem.  

So, [tex]AC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]BC^{2}[/tex]

            = [tex]12^{2}+5^{2}[/tex]

            = 144 + 25 = 169

AC = [tex]\sqrt{169}[/tex] = 13

Answer 2

Answer:

12,5, and 13

Step-by-step explanation:

i got it right on edge


Related Questions

The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are 5 ft by 11 ft. Find the ratio of the perimeter of the rectangle to the perimeter of the smaller rectangle
A. 11:9
B. 3:4
C. 4:3
D. 5:3​

Answers

Answer:  C

Step-by-step explanation:

To find the perimeter of a rectangle , you need to use the formula  

P = 2l + 2w   where   P is the perimeter, l is the length, w is the width.

Input the dimensions, for each rectangle and solve for the P

P = 2(3) + 2(9)

P = 6 + 18

P = 24  

P = 2(5) + 2(11)

P = 10 + 22

P = 32

The smaller rectangle has a perimeter of 24 and the large rectangle has a perimeter of 32

The ratio will be    32 : 24  which breaks down to  4: 3

is my answer correct, if now can you explain​

Answers

Yes. The first step is to set up the equations so that one unknown cancels out: here, the z's will cancel out:

5z+4y=-14

3z+6y=-6

-15z-12y=42

15z+30y=-30

8y=12

y=1.5

3z+6y=-6

3z+6(1.5)=-5-9

z=-14/3

Solve the inequality LaTeX: 5x-6\le2+\left(3x-4\right)5 x − 6 ≤ 2 + ( 3 x − 4 ). Express the solution as an inequality.

Answers

Answer:

x ≤ 2

Step-by-step explanation:

Given the inequality :

5 x − 6 ≤ 2 + ( 3 x − 4 )

Open The bracket

5x - 6 ≤ 2 + 3x - 4

Collect like terms

5x - 3x ≤ 2 - 4 + 6

2x ≤ 4

Dibide both sides by 2

2x /2 ≤ 4/ 2

x ≤ 2

Factor out 10d^7 + 2d^5

Answers

Answer:

[tex] 2 {d}^{5} (5 {d}^{2} + 1)[/tex]

Step-by-step explanation:

[tex]10d^7 + 2d^5 \\ \\ = 2 {d}^{5} (5 {d}^{2} + 1)[/tex]

Helppppp!!!! Ty ✨:)))))))))

Answers

Answer:

12/7 or 1 5/7

Step-by-step explanation:

6 * 2 = 12

so

12/7 = 1 5/7

Answer:

1.714 and/or 1 5/7

Step-by-step explanation:

You're welcome :P

Kelly has 36 counters how many groups of 6 counters can she make

Answers

Answer:

6 groups of 6 counters.

Step-by-step explanation:

36/6=6

Answer:

6

Step-by-step explanation:

6x6=36

PLEASE HELPPPP IM SUPER BAD AT THIS STUFF EASY 10 POINTS

Answers

The equation is 6x + 3y = 54
The x-intercept is (9,0)
The y-intercept is (0,18)
She could possibly buy 6 magazines for 6$ each and 6 paperback books for 3$ each.
6(6) + 3(6) = 54 ✅
Hope this helps!

Find the length of side x in simplest radical form with a rational denominator.
60
х
309
2

Answers

Answer:

[tex]\frac{2}{3} \sqrt{3}[/tex]

Step-by-step explanation:

We know this triangle has angles 30, 60, and 90 degrees. Triangles with these angles have a special relationship on the sides.

The side opposite to the 90 degree angle is 2 times of x.

The side opposite to the 60 degree angle is [tex]\sqrt{3}[/tex] multiplied x.

We know the side opposite to 60 degree angle is 2, so x would be

[tex]\frac{2}{\sqrt{3}}[/tex]

However, we can't have an irrational number in the demoninator so we multiply the fractice by root 3 over root 3:

[tex]\frac{2}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

which gives us [tex]\frac{2}{3} \sqrt{3}[/tex]

ABC is a triangle right angled at C . A line through the mid point M of hypotenuse AB and parallel BC intersects AC at D . show that :
i) D is the mid point of AC
ii)MD parallel to AC
iii)CM=MA=½AB​

Answers

Answer:

If my answer is correct for you please mark me brainliest answer if you want please please thanks thanks thanks thanks thanks thanks

The inverse, f-1(x), of f(x) =
X + 5
Х
5
can be written as
X- 1

Answers

Answer:

A) f(2) = 7/2

B) f'(2) = 5

Step-by-step explanation:

We are given that;

f(x) = (x + 5)/x

f'(x) = 5/(x - 1)

A) Now, f(2) will be gotten by Plugging in 2 for x in to f(x) equation;

f(2) = (2 + 5)/2

f(2) = 7/2

B) similarly, f'(2) will be gotten by Plugging in 2 for x in f'(x) equation. Thus;

f'(2) = 5/(2 - 1)

f'(2) = 5/1

f'(2) = 5

Which equation is a function of x

Answers

Step-by-step explanation:

x means that the value of y depends upon the value of x, so:y can be written in terms of x(egy=3x

Answer:

Step-by-step explanation:

What's the complete question?

HELP ME ASAP PLEASEEEEE

Answers

Step-by-step explanation:

5√36 = 5× 6 = 303√2 + 3×2√2 = 3√2 + 6√2 = 924 - 2√4 = 4 - 2× 2 = 4 - 4 = 0

plz mark my answer as brainlist.

Hope this will be helpful to you .

Solve each problem. Explain or show your reasoning.
What is 25% of 160 ?

Answers

Answer:

0.25 x 160 = 40. So 40 is 25% of 160

Step-by-step explanation:

Can somebody help me with this question will mark brainliest.

Answers

Answer: 9/12

Step-by-step explanation:

the anwser is 9/12 i believe

Find the measure of Angle A

Answers

Answer:

it is same 8x congruent to the next side.

The whole is greater than the part

Answers

Answer:

most definitely

Step-by-step explanation:

4/4>1/4
Yup it’s greater

Combine the like terms to create an equivalent expression: 7n+4+(-2n)

Answers

Answer:

5n + 4

Step-by-step explanation:

7n + 4 + (-2n)

= 7n + 4 - 2n

= 5n + 4

Answer:

5n+4

Step-by-step explanation:

7n - 2n= 5n


I already answered number 1 and 3 I just need 2 4 and 5 that’s it I’ll mark you brilliant AND GIVE EXTRA POINTS!!!
1.How do you know you have a direct variation in the relationship between two quantities?
The ratio.

2.What is constant of proportionality?


3.In a graph where two quantities have a direct variation, what of the line is the constant of proportionality, the constant of variation, the rate of change?
The relationship between two quantities


4.The height of the water in a pool is proportional to the minutes it takes for the pool to fill up. If the height of the water is 2 inches after 5 minutes, what is the constant of proportionality/constant of variation in this situation?



5.Pizzas cost $8 each plus $3 delivery charge as it .


in the table below:
Number of Pizzas 1 2 3 4
Cost $11 $19 $27 $35

Is there a direct variation?
What is the rate of change/slope?

Answers

Answer:

the 2:The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. 3

Step-by-step explanation:

40 to 8

Each pizza costs $8 and the delivery fee is $3.

William invested $2,300 in an account paying an interest rate of 2 1/8% compounded quarterly. Nolan invested $2,300 in an account paying an interest rate of 2 3/4% compounded monthly. After 20 years, how much more money would Nolan have in his account than William, to the nearest dollar?

Answers

Answer:

$478

Step-by-step explanation:

After 20 years, William will have a total of $3,513.94

After 20 years, Nolan will have a total of $3,991.93

Difference = $478

William:

2300[1 + (.02125 ÷ 4)]^4 · 20

2300 · (1 + .0053125)^80

2300(1.5278)

$3,513.94

Nolan:

2300[1 + (.0275 ÷ 12)]^12 · 20

2300 · (1 + .0023)^240

2300(1.7356)

$3,991.93

After 20 years, $478 more money would Nolan have in his account than William, to the nearest dollar.

What is the compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

here, we have,

After 20 years, William will have a total of $3,513.94

After 20 years, Nolan will have a total of $3,991.93

Difference = $478

William:

2300[1 + (.02125 ÷ 4)]^4 · 20

=2300 · (1 + .0053125)^80

=2300(1.5278)

=$3,513.94

Nolan:

2300[1 + (.0275 ÷ 12)]^12 · 20

=2300 · (1 + .0023)^240

=2300(1.7356)

=$3,991.93

Hence, After 20 years, $478 more money would Nolan have in his account than William, to the nearest dollar.

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ2

The sum of two consecutive integers is at least 36.
What is the least possible pair of integers?
Answer FAST for brainly

Answers

Answer:

A

Step-by-step explanation:

A

A realtor predicts that the value of a $70,000 home will increase by the same percentage each year, and will increase by 8% every 4 years. If n is a whole number, which function f(n) represents the predicted value of the home after n years?

Answers

Answer:

[tex]f(n)=70,000(1.08)^{0.25n}[/tex]

How do the values of the 1s in 14.937 and 6.1225 compare?
The value of the 1 in 14.937 is ______times the value of the 1 in 6.1225.
A) 10
B)100
C)1000

Answers

Answer:

I would say the answer is b

Step-by-step explanation:

Greta opens a savings account with $25 she saves $20 each week

Answers

Answer:

Greta spends$25-$20=$5per week.

I will mark you as the brainiest if you get this correct
Thx so much xxx

Answers

Answer:

A= 168 minutes or 2 hours and 48 minutes.

B= 3 tyres

Step-by-step explanation:

What is trigonometry​

Answers

Answer:

Trigonometry, as the name might suggest, is all about triangles. More specifically, trigonometry is about right-angled triangles, where one of the internal angles is 90°. Trigonometry is a system that helps us to work out missing or unknown side lengths or angles in a triangle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

There are 32 red bikes at the park there are 41 blue bikes how many fewer red bikes are at the park then blue bikes

Answers

Answer:

There are 9 fewer red bikes

Step-by-step explanation:

41 - 32 = 9

find the value of x

Answers

Step-by-step explanation:

the answer is

2x+4x =90

6x=90

x=15°

#11 Find the slope of a line
that passes through the
points (-1, -3) and (-6,5)

Answers

y2-y1/x2-x1
5-(-3)/(-6-(-1))
8/-5
-8/5 is the slope

1. "Six less than trnce a number.
A 6 - 2x
A. 5y + 4
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and m.
C. Twice the difference of m and 3.
8. Twice the sum of m and 3.5
D. Twice the sum orm and 3.
4. "Ten less than thrice the a numbers
A. 10 - 3b
D. 3-10b
B. 3b - 10
C. 10b - 3
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6. "The raio di 7 and a number decreased by 2."
A. 7/(x-2)
B. (7/) - 2
C. 7X-2
D.7 -2/
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10 - k)/4 = 2 B. 10 - (k/4) = 2 C. 10k/4 = 2
D. k - 10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y = 60 C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a number
A. increased by B. added to
C. plus
D. more than
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 8x - 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3​

Answers

Answer:

this is your answer. thanks for points

Answer:

D

Step-by-step explanation:

How do you round 36.15 to the nearest whole number? Please explain if possible

Answers

The nearest whole number would be 36 this is because the first number after the decimal is below 5

Answer:

the answer is 36

Step-by-step explanation:

So, in order to round properly, anything under 4 goes down to zero and anything 5 or above goes UP to the nearest zero. it all depends on your desired number that you're rounding to.

EX: 69.436

hundredth place-   69.44

tenths place - 69.4

whole #-   69

hope this makes sense, youll get it eventually, i promise

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