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Nadusha1986 [10]
3 years ago
6

Determine whether the following conjecture is true or false. Give a counterexample if the answer is false. ∠A and ∠B are supplem

entary, ∠B and ∠C are complementary, then ∠A and ∠C are complementary angles.
Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0
The <u>conjecture is false</u>.

Explanation:

Let m∠B = 60°. 

Since ∠B and ∠A are supplementary, they add to 180, this means that
m∠A = 180-60 = 120°.

Since ∠B and ∠C are complementary, they add to 90, this means that
∠C = 90-60 = 30°.

If ∠A and ∠C are complementary, then they add to 90°:

120+30=150

This is not true.
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Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
faust18 [17]

Answer:

Mr. Lee takes home 9 kg of chocolate.

Mrs. Scarlet takes home 6kg of chocolate.

Step-by-step explanation:

Mr. Lee has a family of 6 people, and Mrs. Scarlett has a family of 4 people.

Together, the total number of people is 6 + 4 = 10

If we divide evenly the chocolate between all 10, then each one gets the same amount.

Then we need to do the quotient:

15kg/10 = 1.5kg

This means that each person gets 1.5kg of chocolate.

And Mr. Lee has 6 on his family, then the amount of chocolate that Mr. Lee takes home is 6 times 1.5 kg

6*1.5kg = 9kg

Mr. Lee takes home 9 kg of chocolate.

Mrs. Scarlett has a family of 4 people, then she takes home 4 times 1.5kg of chocolate, this is:

4*1.5kg = 6kg

Mrs. Scarlet takes home 6kg of chocolate.

8 0
3 years ago
I need help<br> What is -8.6 divide (-3)
Hitman42 [59]
2.86 the negatives will cancel it self den u divide it
8 0
3 years ago
Which words name the shape ?
Montano1993 [528]

Answer:

D

Step-by-step explanation:

It's these shapes because:

Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.

Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.

3 0
3 years ago
Read 2 more answers
Ez20 chaarecter long
Likurg_2 [28]

Answer:

24 oz has the lowest cost per ounce.

Step-by-step explanation:

12 oz ---> $2.49

1 oz --> $2.49/12

1 oz --> $0.2075

14 oz --> $3.15

1 oz --> $3.15/14

1 oz --> $0.225

20 oz --> $5

1 oz --> $5/20

1 oz --> $0.25

24 oz --> $4.56

1 oz --> $4.56/24

1 oz --> $0.19  ..........this is the lowest cost per ounce

36 oz --> $7.2

1 oz --> $7.2/36

1 oz --> $0.2

5 0
3 years ago
Norma made quilts and sold them at a craft show. The cost of fabric for each quilt was $13.55. She sold each quilt for $35. The
CaHeK987 [17]

Answer:

least number of quilts is gonna be 10

Step-by-step explanation:

ok...so profit = revenue - expenses

n = # of quilts

revenue : (the money made from the quilts)

she sold each quilt for 35 bucks......35n

expense : (the money Norma spent on the materials)

the cost of fabric is 13.55 per quilt......13.55n

so ur expression is :

revenue - expenses

35n - 13.55n <==== this is part A

==========================

she wants to make a profit of 200...

P = revenue - expenses

200 = 35n - 13.55n

200 = 21.45n

200 / 21.45 = n

9.32 = n.......gonna have to round up to 10 <==== part B

ok...so 9 quilts is not gonna be quite enough...so shes gonna have to make 10.

7 0
3 years ago
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