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zalisa [80]
3 years ago
15

A conjecture and the two-column proof used to prove the conjecture are shown.

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

given: s is the midpoint of rt

definition of midpoint: rs st

given: st xy

transitive property of congruence: rs xy

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What is the coefficient of b in the expression b + 10? Explain.
hodyreva [135]

Answer:

1

Step-by-step explanation:

as b have no number given it means. its coefficent is 1

8 0
3 years ago
Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin tak
sp2606 [1]

Answer:

3:5

Step-by-step explanation:

because

36:60

divide by 6

6:10

divide by 2

3:5

7 0
3 years ago
Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 1
bija089 [108]

Answer:

<em>22.62°</em>

Step-by-step explanation:

Considering △ABC.  If angle B C A is a right angle, then;

m<BCA = 90 degrees

Given also

AB = 13

BC = 12

AC = 5.

According to SOH, CAH TOA;

Sin <B = AC/AB

Cos <B = BC/AB

Substitute the given values

Sin B = 5/13

B = arcsin(5/13)

B = 22.62

Cos B = 12/13

B = arccos (12/13)

B =22.62

<em>Hence the angles that make sinB = cosB is 22.62°</em>

6 0
3 years ago
Read 2 more answers
Chocolate cake for 6 people needs 150g of flour, 150g of sugar, 120g of cocoa and 3 eggs. Emma has 8 eggs, 450g flour, 380g suga
Nookie1986 [14]
First you would need to dive what you have of each ingredient by how much you need for 6 people.

Flour: 450 ÷ 150 = 3
Sugar: 380 ÷150 = 2 
Cocoa: 300 ÷ 120 = 2.5
Eggs: 8 ÷ 3 = 2.7

then you look at the total batches each could make and average it to 2 batches. then multiply 6 by 2.

6×2= 12 

so all together, the maximum amount of people you can make for is 12.
8 0
3 years ago
4,200 with a 35% markdown
Bumek [7]

Answer:

4200 with 35% markdown: 2730

5000 with 44% markdown: 2800

Step-by-step explanation:

To calculate the price of an item including the markdown, multiply the original price by (1 minus markdown).

Convert the markdown percentage to decimal form before subtracting.

4200 with a 35% markdown: (35% = 0.35)

4200*(1 - 0.35)

= 4200 *(0.65)

= 2730

5000 with a 44% markdown: (44% = 0.44)

5000*(1 - 0.44)

= 5000*(0.56)

= 2800

Therefore, the sale price for $4200 with a 35% markdown is $2730, and the sale price for $5000 with a 44% markdown is $2800.

4 0
3 years ago
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