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swat32
3 years ago
7

Janet is designing a frame for a client. She wants to prove to her client that m∠1 = m∠3 in her sketch. What is the missing just

ification in the proof? Segment CD intersects segment AB, creating angles 1, 2, 3, and 4. Statement Justification Segment CD intersects segment AB Given ∠1 + ∠ 2 = 180° ∠ 2 + ∠3 = 180° ∠1 + ∠ 2 = ∠ 2 + ∠3 Transitive Property ∠1 = ∠3 Subtraction Property Definition of Supplementary Angles Intersecting Lines Postulate Same-Side Interior Angles Theorem Vertical Angles Theorem
Mathematics
2 answers:
juin [17]3 years ago
7 0

Answer:

Definition of supplementary angles

Step-by-step explanation:

The definition of supplementary angles is:

∠a + ∠b = 180°.

Hence, the answer is the definition of supplementary angles

kolezko [41]3 years ago
5 0

Answer: Vertical Angles Theorem

Step-by-step explanation: the diagram is like an X which two opposite sides are congruent. if that makes sense hope i helped ❤️.

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if your good at maths this for you, lets see if u get em correct, in return I'll brainlist you/ give u 5 star n a like! ​
k0ka [10]

Answer:

a) 13/20 and 0.65

b) $13

c) $33

d) $455

e) $3.3

f) $29.7

g)$339.5

Step-by-step explanation:

Each hoodie costs the trader $20 and he intends to sell it at a Percentage markup of 65%

a) Write a percentage Markup value as a

I) Fraction

Percentage Markup = 65%

65% = 65/100 = 13/20

II) Decimal

= 65% = 65/100 = 0.65

b) Calculate the value of Markup of each hoodie

This is calculated as:

65% × Cost price

= 65% × $20

0.65 × $20 = $13

c) What price would the hoodies be?

Cost price of hoodie = $20

Percentage Markup = 65%

The selling price = x

Percentage Markup = Selling price - Cost price/Cost price

65% = x - $20/$20

Cross Multiply

0.65 × $20 = x - $20

13 = x - $20

x = $20 + 13

x = $33

Therefore, the selling price = $33

d) If the seller sells 35 hoodies on her first day, what is her profit.

Profit = Selling price - Cost price

Profit = $33 × 35 hoodies - $20 × 35 hoodies

Profit = $1155 - $700

Profit = $455

We are told that to improve sales, the seller gives a discount of 10% on selling price

Hence:

Selling price = $33

e) What is the discount amount for each hoodie

Discount Amount = % Discount × Selling price

Discount Amount = 10% × $33

= $3.3

f) What is the new selling price =

Old selling price - Discount amount

= $33 - $3.3

= $29.7

g) What profit does the seller make on each hoodie after the 10% discount for 35 hoodies

Profit = Selling price - Cost price

Profit = $29.7 × 35 hoodies - $20 × 35 hoodies

Profit = $1039.5 − $700

= $339.5

5 0
3 years ago
Determine whether the given relation is an implicit solution to the given differential equation. assume that y is a function of
Xelga [282]
Differentiate:x^2 + y^2 = 4 
You get this:2x + 2yy' = 0 
bring the x variable on the other side:2yy' = -2x 
Now divide 2y to leave y' by itself:y' = -2x/2y 
Answer: y' = -x/y 
The given relation is not a implicit solution to the given differential equation.
6 0
3 years ago
In Example 9.2 (p. 214), if you instead carried the suitcase by the handle so that the suitcase was hanging directly at your sid
Alexus [3.1K]

9514 1404 393

Answer:

  none

Step-by-step explanation:

No work is required to maintain an object at a constant speed with no change in direction. Work is only done when an object is accelerated, or moved some distance in the direction of the net force applied.

you would do no work

5 0
3 years ago
Explain in at least 5 sentences why scientific notation is important. You can choose a job or company that would use it and give
Lana71 [14]

Answer:

UwU

Step-by-step explanation:

UwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwUUwU

8 0
3 years ago
I WILL GIVES BRAINLIEST!!!!
andrew-mc [135]

Answer:

3 1/3 cups

Step-by-step explanation:

one and one half dozen = 1.5 * 12 = 18 cookies


18 cookies    90 cookies

---------------- = -------------

2/3 cup          x cups

using cross products

18 * x = 2/3 * 90

18 x = 60

divide each side by 18

x = 60/18    

divide top and bottom by 6

x = 10/3

change the improper fraction to a mixed number

3 goes into 10 3 times with 1 left over

x = 3 1/3 cups


6 0
3 years ago
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