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kicyunya [14]
3 years ago
5

Geometry Proof - please help ASAP

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

  • If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°

Statements and Reasons:

3. Angle C is 90 degrees because of the definition of right angle.

4. Angle A + angle B + angle C is 180 degrees because of triangle sum.

5. Angle A + angle B + 90 = 180 because of substitution postulate.

6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).

7. Angle A and angle B are complementary.

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Wade and Alexandra are 240 feet apart when they start walking toward one another. Alexandra walks twice as fast as Wade so whene
Cerrena [4.2K]

Answer:

The initial distance between Wade and Alexandra is 240ft.

They walk towards each other.

Alexandra walks twice as fast as Wade.

Now, because they are walking towards each other, when the distance walked by both of them equals 240 ft, they will meet.

Then:

if Wade walks z ft, Alexandra walks 2*z ft.

So we have the equation:

Distance that Wade walked + Distance that Alexandra walked = 240ft

z + 2*z = 240ft

3*z = 240ft

z = 240ft/3 = 80ft

They will meet when Wade walks 80ft.

4 0
4 years ago
Read 2 more answers
A necklace and earrings cost $144. Six necklaces and five pairs of earrings cost $825
hram777 [196]

Step-by-step explanation:

let necklace : x

let earrings : y

x+y=144 -1st eqn

6x+5y=825 -2nd eqn

y=144-X -3rd eqn

substitute eqn into 2nd eqn

6x+5(144-x)= 825

6x +720-5X =825 (expanded)

X = 825-720

X =105

substitute "X=105" into 1st eqn

(105)+y=144

y= 144-105

y=39

1 necklace = 105$

1 pair of earrings = 39$

(to check back: substitute the value into the original eqn)

6 0
2 years ago
The difference of five times a number and one is 24 find the number
dimaraw [331]
<h2>Answer:</h2><h2>let number be x</h2><h2>Step-by-step explanation:</h2><h2>5x - 1 = 24</h2><h2>5x = 25</h2><h2>x = 5</h2>
3 0
3 years ago
If the starting time is 7:43 and the elapsed time is 36 minutes then what time what is the ending time
Annette [7]

Answer:

8:19

Step-by-step explanation:

It is 17 minutes until 8:00.  36 - 17 = 19 minutes left.

8:00 + 19 minutes = 8:19

6 0
3 years ago
Read 2 more answers
Provide an appropriate response. In order to efficiently bid on a contract, a contractor wants to be 95% confident that his erro
lidiya [134]

Answer:

d. 20

Step-by-step explanation:

Standard deviation is 4.5

Margin error for the problem is 2 hours

Probability 95%, that means that the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

2 = 1.96 * 4.5/ √n

2 = 8.82/√n

√n = 8.82/2

√n = 4.41

n = 4.41^2

n = 19.44 ≈ 20

5 0
3 years ago
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