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Alex Ar [27]
3 years ago
8

Given a||b ,and cis not parallel to a or b which of the following are true ? Choose all answers that are correct.

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

Options B and D are true.

Step-by-step explanation:

See the diagram attached.

Line a and b are parallel and line c is not parallel to them.

There is a transverse line and this line forms the angles 1 to 12.

Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.

Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.

Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.

Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.

Therefore, options B and D are true. (Answer)

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Find the width of a rectangular prism if the volume is 546cm, the height is 7cm and the length is 13cm.
Margaret [11]

7x w x 13=546

(7x13)*w= 546

91w=546

91w/91= 546/91

w= 6

the width is 6cm

7 0
3 years ago
The difference of three times a number and six is nine
Artyom0805 [142]

Answer:

3x-6=9 is your equation x=5

Step-by-step explanation:

Step 1: Add 6 to both sides

Step 2: Divide both sides by 3

6 0
3 years ago
Read 2 more answers
A line passes through the points (-3, 5) and (2, 3). What is the slope of this line
vfiekz [6]

Answer:

slope is -2/5

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-5/2-(-3))

m=-2/2+3

m=-2/5

8 0
2 years ago
If the area of a square is 32 ft2, how long is its diagonal?
Tema [17]

Diagonal = 8

D=diagonal

A=area

A=D^/2

32=D^/2

32/1 = D^/2

cross multiplication

32x2=D^x1

64=D^

8 =D




7 0
2 years ago
Hard ratio question.
MrRa [10]

The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.

<h3>Cost of each juice</h3>

Orange :  Lemonade

  3  :  5

After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;

Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)

(3 x 6L)  :  (5 x 6L)

18L  :  30L      

total fizzy juice = 18L + 30L = 48 liters

bottle of orange = (18 L ÷ 2 L) = 9 bottles

bottle of lemonade = (30 L ÷ 3L ) = 10 bottles

cost of orange = 9 x £1.20 = £10.8

cost of lemonade = 10 x £1.50 = £150

Total cost = £10.8 +  £150 =  £25.80 =  2580 P

<h3>Total bottles that will make 48 liters fizzy juice</h3>

250 mL = 0.25 L

0.25L(n) = 48 L

n = 48/0.25

n = 192 bottles

<h3>Cost of each bottle in Penny</h3>

cost = 2580 P/192

cost = 13.44 P

<h3>Amount each bottle should be sold to make a profit of 60%</h3>

A = 100%(initial cost) + 60%(initial cost)

A = 160%(initial cost)

A = 1.6(initial cost)

A = 1.6 x 13.44 P

A = 21.5 P ≈ 22 P

Learn more about profit here: brainly.com/question/1078746

#SPJ1

7 0
2 years ago
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