Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points

A commission of $3100 was earned on $62,000 at a commission rate of 5%.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that $62,000 is earned at a commission rate of 5%, hence:

Commission = 5% of 62000 = 0.05 * 62000 = $3100

A commission of $3100 was earned on $62,000 at a commission rate of 5%.

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Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.

Answer:

Angles E and G are CONGRUENT to each other because they are VERTICAL angles

Answer:

i got 4

Step-by-step explanation:

thats all i could tell u i don't know how to explain it nor check it but i got 4 so thats all i can tell u bestie sorry

Answer:

56%

Step-by-step explanation:

Answer:

Patterns

Step-by-step explanation:

Deductive reasoning is used to prove conjectures to be true

Answer:

patterns

Step-by-step explanation:

Deductive reasoning is a simple form of arriving at a conclusion by joining two or more pieces of information. Deductive reasoning is used to prove conjectures to be true.

Answer:

22.4

Step-by-step explanation:

A car is driving down the road and goes 500 miles in 10 hours.

So,

d = 500 miles = 804672 metres

t = 10 hours = 36000 minutes

∴ v = d ÷ t

v = 804672 ÷ 36000

v = 22.352

∴ v = 22.4 m/s

Thus, His Velociy was 22.4 m/s

-TheUnknownScientist

Answer:

[tex]h\geq 5 \text{ feet}[/tex]

Step-by-step explanation:

Considering John's height as [tex]h[/tex], saying that his height is at least 5 feet tall, it implies that the lowest height for John is [tex]h=5[/tex]

So, inequality is

[tex]h\geq 5 \text{ feet}[/tex]

Answer:it’s a or c

Step-by-step explanation:

Hope this helped have a good day stay safe

Answer:

C. 15 units

Step-by-step explanation:

I'm sorry if this is a late answer but I hope other people can find this helpful :)

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

Answer:

23

Step-by-step explanation:

Answer:

23 games.

Step-by-step explanation:

According to the graph, there are 17 whistles, where each whistle counts as 2 games.

17 * 2 = 34 games in Kylie's first 6 months.

She worked a total of 45 games in the entire year.

45 - 34 = 11 games.

Therefore, Kylie worked 11 games for the rest of the year.

They are asking how many MORE games did she work in the first 6 months than she did during the rest of the year.

34(first 6 months) - 11(rest of the year) = 23 games more.

Answer:

While the slider moves to the right the point change also. You can see that the points will decrease and increase again.

Answer:

$228,692

Step-by-step explanation:

10 years so 3.25% was added 10 times

3.25(10) = 32.5

32.5 + 100 = 132.5

So Jack paid 132.5% of his loan.

x/172,598 = 132.5/100

172598(132.5) =  22,869,235

22,869,235/100 = 228,692.35

Round it to the nearest dollar and you get 228,692

Answer:

m<DBE =50°

m<ABD=150°

Step-by-step explanation:

Because of Straight Angles, All the angles will add up to 180 degrees

Let x be m<DBE

40+x+70+20=180

x+130=180

x=50

m<DBE will be 50 degrees

To find the m<ABD, we add m<FBA, m<FBE, m<DBE.

70+50+30=150

m<ABD = 150

Answer:

angle DBE=

Step-by-step explanation:

We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.

Now, 90-40=50 (angle DBE's measure)

Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.

HTH :)

Answer:

hi I don't know the answer of this question but I hope anyone will answer your this question as fast as possible and iam taking free points because I needed to ask one question from someone that's why I really sorry and thank you so much for free points

Answer:

∠AFE is an inscribed angle because the vertex lies on the edge of the circle

∠DOB is a central angle because the vertex lies at the center of the circle

∠HJG is an inscribed angle because the vertex lies on the edge of the circle

Answer:

the answer is 4 x 10^4  or 40,000

Step-by-step

the answer is 40,000 but you need to put it in scientific notation which equals 4 x 10 to the 4th power

4 x 10^4

Answer:

15.75 per hour

Step-by-step explanation:

$63/4 Hours = 15.75

Answer:

s=27*2+3

rrefrewhtefghttrfdgh

Answer: 12x - 17

Step-by-step explanation:

To find QR subtract PQ from PR

15x-11 -(3x+6) ---> 15x - 11 - 3x -6 = 12x -17

Answer:

B

Step-by-step explanation:

Answer:

How much buttons is on it.

Step-by-step explanation:

If three you can make 17 puppets.

Answer: 13, 15, 21, 38, 52

because The total length of two sides of a triangle is always greater than the length of the third side => 34 + 19 > x

⇔ x < 53

=> x ∈ {13; 15; 21; 38; 52}

Step-by-step explanation:

All possible third sides of a triangle are;

⇒ x = 13, 15, 21, 38, 52

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of a triangle are 19 cm and 34 cm.

Now,

Since, The sum of two sides of a triangle is greater than the third side.

Let the third side = x

So, We can formulate;

x < 19 + 34

x < 53

Thus, All possible values of third sides are;

⇒  x = 13, 15, 21, 38, 52

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Answer:

After making x the subject of the formula, the formula is:

[tex]x = (b-a)^2[/tex]

Step-by-step explanation:

Given formula is:

[tex]\sqrt{x} +a = b[/tex]

Making a variable subject of a formula or equation means that the variable has to be isolated in the equation to write it in terms of other variables and constants.

So,

In the given formula,

Subtracting a from both sides

[tex]\sqrt{x} +a-a = b-a\\\sqrt{x} = b-a[/tex]

The subject of the formula should not be in radical form.

Taking square on both sides

[tex](\sqrt{x})^2 = (b-a)^2\\x = (b-a)^2[/tex]

After making x the subject of the formula, the formula is:

[tex]x = (b-a)^2[/tex]