The difference of two numbers is 3. Their sum is 13. Find the numbers

ABCD is a parallelogram ⇒ BE = DE

So: 7x - 12 = 3x + 4

⇔ 7x - 3x = 4 + 12

⇔ 4x = 16

⇔ x = 16/4 = 4

⇒ BE = 7(4) - 12 = 28 - 12 = 16

⇒ DE = 3(4) + 4 = 12 + 4 = 16

⇒ BD = BE + DE = 16 + 16 = 32

Answer: BD = 32

Ok done. Thank to me :>

Answer:

When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate.

Answer:

60 mph

Step-by-step explanation:

h.  2         2.5      3        3.5

d  230     200     170     140

for every 0.5 hour, rate of change is 30 miles

so rate of change hourly is 60 miles per hour

Answer:

C) [tex]\frac{5}{8}[/tex] m/s

Step-by-step explanation:

[tex]s(t)=\sqrt{1+5t}[/tex]

[tex]v(t)=\frac{d[s(t)]}{dt}[/tex]

[tex]v(t)=\frac{d(\sqrt{1+5t})}{dt}[/tex]

[tex]v(t)=\frac{5}{2\sqrt{1+5t}}[/tex]

[tex]v(3)=\frac{5}{2\sqrt{1+5(3)}}[/tex]

[tex]v(3)=\frac{5}{2\sqrt{1+15}}[/tex]

[tex]v(3)=\frac{5}{2\sqrt{16}}[/tex]

[tex]v(3)=\frac{5}{2(4)}}[/tex]

[tex]v(3)=\frac{5}{8}[/tex]

Therefore, the particle's velocity after 3 seconds is [tex]\frac{5}{8}[/tex] m/s.

The sum of any three consecutive odd numbers is proved to be 11 more than a multiple of 12.

In the question, we are asked to prove that the sum of the squares of any three consecutive odd numbers is always 11 more than a multiple of 12.

We assume n to be any whole number.

Thus, we choose our 3 consecutive odd numbers as:

2n + 1, 2n + 3, and 2n + 5.

The sum of the squares of these numbers can be shown as:

(2n + 1)² + (2n + 3)² + (2n + 5)²

= (4n² + 4n + 1) + (4n² + 12n + 9) + (4n² + 20n + 25) {Using (a + b)² = a² + 2ab + b²}

= 12n² + 36n + 35

= 12n² + 36n + 24 + 11

= 12(n² + 3n + 2) + 11

= 12k + 11, where n² + 3n 2 is taken as k, any whole number as n is a whole number.

Thus, the sum is 11 more than a multiple of 12, that is, 12k.

Learn more about multiples at

https://brainly.com/question/11723481

#SPJ1

Answer:

girl what SOBS

Step-by-step explanation:

i dont know what language u speaking bur pop off girl

Answer:

212° = F

Step-by-step explanation:

We know that,

9/5C + 32 = F

So, if C = 100°, then,

9/5 × 100 + 32 = F

900/5 + 32 = F

180 + 32 = F

212° = F

Hope it helps ⚜

Answer:

27.62

Step-by-step explanation:

n+8n^2-17

Replace n with 2.3

2.3+8(2.3)^2-17

Solve.

2.3+8(5.29)-17

2.3+42.32-17

44.62-17

27.62

-hope it helps

Answer:

the answer is 7 - (-2) = 7 + 2

Answer: c 85.31

Step-by-step explanation:well because the of numbers and thingsd 85.31 is the good answer because im very smart

Answer:

Slope 2/3

y-intercept(0,2)

Step-by-step explanation:

Answer:F

Step-by-step explanation:

A.5:18

B1:3

C5:36

D:5:3

F9:18 or 1:2

G:1:35

answer is F

Answer:

D because it cant be simplified into something less, for example

mosquitoes:spiders (9:18)

can be simplified to 1:2 and is not very high of a ratio anymore:

The triangles that can be proved to be congruent by the SAS Congruence Theorem are:

10. ΔLMN and ΔNQP

13. ΔEFH and ΔGHF

The triangles that cannot be proved to be congruent by the SAS Congruence Theorem due to insufficient information are:

9. ΔABD and ΔCDB

12. ΔQRV and ΔTSU

14. ΔKLM and ΔMNK

11. ΔYXZ and ΔWXZ

Thus:

9. ΔABD and ΔCDB have:

ΔABD and ΔCDB lack a pair of included angles, therefore, the information given is not enough to prove the triangles are congruent by the SAS Congruence Theorem.

10. ΔLMN and ΔNQP have:

ΔLMN and ΔNQP, therefore, have enough information to prove that they are congruent triangles by the SAS Congruence Theorem.

11. ΔYXZ and ΔWXZ have:

ΔYXZ and ΔWXZ lack a pair of included angles, therefore, the information given is not enough to prove the triangles are congruent by the SAS Congruence Theorem.

12. ΔQRV and ΔTSU do not have enough information to prove they are congruent by the SAS Congruence Theorem.

13. ΔEFH and ΔGHF have two pairs of congruent sides and a pair of congruent included angles, therefore, there is enough information to prove they are congruent by the SAS Congruence Theorem.

14. ΔKLM and ΔMNK do not have enough information to prove they are congruent by the SAS Congruence Theorem.

Therefore, the triangles that can be proved to be congruent by the SAS Congruence Theorem are:

10. ΔLMN and ΔNQP

13. ΔEFH and ΔGHF

The triangles that cannot be proved to be congruent by the SAS Congruence Theorem due to insufficient information are:

9. ΔABD and ΔCDB

12. ΔQRV and ΔTSU

14. ΔKLM and ΔMNK

11. ΔYXZ and ΔWXZ

Learn more about SAS Congruence Theorem on:

https://brainly.com/question/13408604

Answer:

Step-by-step explanation:

Answer:

[tex]x=-1+\sqrt{11}[/tex]

or

x=2.317, -4.317

Step-by-step explanation:

This is not factorable. You must use quadratic formula.

Aisha is 8 years old and her sister is 12 years old.

From the information given;

If Asher’s sister is eight years older than Asher, then;

y = x + 8

If their combined agee is 20, then;

x + y = 20

Substitute equation 1 into 2 to have:

x + 8 + x = 20

2x + 8 = 20

2x = 20 - 8

2x = 18

x = 8

Since x + y = 20

y = 20 - 8

y = 12

Hence Aisha is 8 years old and her sister is 12 years old.

Learn more on simultaneous equations here: https://brainly.com/question/16863577

Answer:

missing side = 50

Step-by-step explanation:

using Pythagoras theorem,

30² + 40² = (missing side)²

900 + 1600 = (missing side)²

(missing side)² = 2500

missing side = √2500

missing side = 50

Answer:

draw 5 green pencils and 3 yellow

Answer:

There are 72 boys

Step-by-step explanation:

3 9 = 27

_ X _ _

8 9 = 72

You can check by converting 27/72 in lowest forms

Hope it helps ;)

Please mark as brainliest!

Answer:

5.32 kilograms

Step-by-step explanation:

350.00/65.75 = 5.323194

Answer: yards best for measuring distances

Step-by-step explanation:

Similar triangles may or may not be congruent

Angles J and K are congruent to angles X and Y.

From the question, we understand that:

Triangle JKL and XYZ are similar triangles

This means that:

Points J, K and L are corresponding to points X, Y and Z.

Hence,

Angles J and K are congruent to angles X and Y.

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

c=17

Step-by-step explanation:

15+v=c

v=2

Answer:

Step-by-step explanation:

B. The expression has 4 factors and 0 constants.

The factors separately are:

4

a

b

(c+3)

Factors are numbers or expressions that produce a givens product.

Looking at the expression we can rewrite it as:

4 x a x b x (c+3)

The overall value with be the product of all the factors.

Answer:

B. The expression has 4 factors and 0 constants.

Step-by-step explanation:

To be more elaborate, let's take the different parts of the expression

4ab(c+3)

The factors separately are:

4

a

b

(c+3)

Factors are numbers or expressions that produce a givens product.

Looking at the expression we can rewrite it as:

4 x a x b x (c+3)

The overall value with be the product of all the factors.

The answer is here:

https://brainly.com/question/12248506

-hope it helps

Answer:

8 slices per pizza

Step-by-step explanation:

96 divided by 12 is 8