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lawyer [7]
3 years ago
13

Identify the reason that justifies each statement.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0

Answer:

Vertical angles

Step-by-step explanation:

The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.

Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.

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At an ice cream parlor ,ice cream cones cost $1.10 and sundaes cost $2.35 one day the receipts for a total of 172 cones and sund
LUCKY_DIMON [66]

88 cones were sold.

Step-by-step explanation:

Let,

Cones = x

Sundaes = y

Cost of one cone = $1.10

Cost of one sundae = $2.35

According to given statement;

x+y=172 Eqn 1

1.10x+2.35y=294.20 Eqn 2

Multiplying\ Eqn\ 1\ by\ 1.10\\1.10x+1.10y=189.2\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(1.10x+2.35y)-(1.10x+1.10y)=294.20-189.2\\1.10x+2.35y-1.10x-1.10y=105\\1.25y=105\\Dividing\ both\ sides\ by\ 1.25\\\frac{1.25y}{1.25}=\frac{105}{1.25}\\y=84

Putting value of y in Eqn 1;

x+84=172\\x=172-84\\x=88

88 cones were sold.

Keywords: Linear equations, multiplication

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

3 0
3 years ago
What is the slope of the line on the graph?
dexar [7]
Given points (1,5) and (0,-1)
(-1-5)/(0-1) = -6/-1 = 6
The slope is 6
5 0
3 years ago
Read 2 more answers
If you roll a die what is the probability of rolling a 2 or 6?
Vinil7 [7]

Answer:

\frac{2}{6}

Step-by-step explanation:

We have that, a die is rolled once.

As, the total outcomes can be 1, 2, 3, 4, 5, 6.

So, the probability to obtain 2 is \frac{1}{6} and the probability to obtain 6 is \frac{1}{6}.

Thus, the probability of rolling 2 or 6 after rolling a die once will be \frac{1}{6}+\frac{1}{6} i.e. \frac{2}{6}.

Hence, the probability of rolling a 2 or 6 is \frac{2}{6}.

5 0
3 years ago
Read 2 more answers
Identify the type of function represented by f(x)(1)/(2)*(3)^(x)
Leokris [45]
It’s an exponential function
4 0
2 years ago
A 2 letter password from the letters A, B, C, D, E, and F. The password cannot have the same letter repeated in it. How many suc
kolbaska11 [484]
<span>5 ways to select the 1st letter
4 ways to select the 2nd letter
3 ways to select the 3rd letter
2 ways to select the 4th letter

-------------
Total # of ways = 5*4*3*2 = 120 passwords
----------------------
Another way to get the answer 5P4 = 5!/(5-4)!</span>
6 0
3 years ago
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