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hoa [83]
3 years ago
12

Which relationships describe the angle pair x° and 157º?

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0
Angle pairs 1 and 2 are vertical angles for they are opposite angles made by intersecting lines<span>. While angle pair x</span>° and 157° are supplementary because they make a straight line or 180° angle. 
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Which equation relates the number of triangles in the figure (n) to the perimeter of the figure (p)
WITCHER [35]

Answer:

Option d is correct.

Equation : P=7n+20.

Explanation;

Given the perimeter of each figure is;

Perimeter of triangle is equal to the sum of all the sides of a triangle.

Perimeter of 1 triangle is 21

Perimeter of 2 triangle is 34 and

Perimeter of 3 triangle is 41

Let n be the number of figure and P be the perimeter of the figure;

the only equation which satisfy the given perimeter is;

P=7n+20

Check:

for n =1 which means 1 triangle then;

P =7n+20 = 7 \cdot 1 +20 = 7+20 = 27

for n = 2 , [ i.e 2 triangle]

P =7n+20 = 7 \cdot 2 +20 = 14+20 = 34

and for n =3 [i.e, 3 triangles]

P =7n+20 = 7 \cdot 3 +20 = 21+20 = 41

Therefore, the equation P =7n+20 relates the number of triangles in the figure(n) to the perimeter of the figure(P).


3 0
3 years ago
Suppose you just received a shipment of ten televisions. two of the televisions are defective. if two televisions are randomly​
amid [387]

Try this solution:

1. for probability of both televisions work:

P_{2w}=\frac{C^2_8}{C^2_{10}}=\frac{7*8}{9*10}=0.6(2)

2. for probability of at least on is defective (it means, the sum = one is defective and two are defective):

P_{1d}=\frac{C^1_2C^1_8}{C^2_{10}}=\frac{4*8}{9*10}=0.3(5) - for P(1defective);

P_{2d}=\frac{C^2_2}{C^2_{10}}=\frac{2}{9*10}=0.0(2) - for P(2defective);

totaly for at least one is defective:

P_{at \ least \ 1 \ d}=P_{1d}+P_{2d}=\frac{16}{45} +\frac{1}{45} =0.3(7)

5 0
4 years ago
How much interest is earned on $583 at 8% for six years
grigory [225]
$279.84 interest is earned                                                                   
6 0
3 years ago
Change -2-3 into addition problem<br><img src="https://tex.z-dn.net/?f=%28%20-%202%20-%203%20%3D%20" id="TexFormula1" title="( -
SashulF [63]

Answer:   - (2 + 3) = -5

<u>Step-by-step explanation:</u>

When combining numbers that have the same sign, you add them and then include the sign.

For example:

-2 - 3 = -(2 + 3) = -5

-6 - 5 = -(6 + 5) = -11

-7 - 8 = -(7 + 8) = -15

8 0
4 years ago
Read 2 more answers
Nine eighteenths plus one third
lisov135 [29]

Answer:

5/6

Step-by-step explanation:

Step 1: Rewrite 9/18

9/18 = 1/2

Step 2: Rewrite problem

1/2 + 1/3

Step 3: Find GCD (Greatest common denominator)

6

Step 4: Rewrite fractions

3/6 + 2/6

Step 5: Add

5/6

6 0
3 years ago
Read 2 more answers
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