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3 years ago

Based on one of the triangle congruence postulates, the two triangles shown are congruent. Part 5

Mathematics

1 answer:

bekas [8.4K]3 years ago

8 0

<h3>Answer: True</h3>

More specifically, these two triangles are congruent by the SAS congruence theorem. SAS stands for Side Angle Side.

The first "S" is the pair of sides that have double tickmarks
The "A" refers to the congruent vertical angles
The second "S" is the pair of sides that have triple tickmarks

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A notebook cost $1.50 and a binder cost $6.50 jesica bought x notebooks and y binders

Bond [772]

1.50x + 6.50y is your algebraic expression.

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3 years ago

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Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5,

Svet_ta [14]

$\frac{1}{3}$ Answer:

2/9

Step-by-step explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards = $P(1,2,3, or 4) = \frac{2}{3}$

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 = $\frac{1}{6}$

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

= $\frac{1}{3}$ * $\frac{2}{3}$

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3 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

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3 years ago

If the 16 boys in the classroom are 40% of the class how many students are there in the class

Galina-37 [17]

Answer:

Step-by-step explanation:

40+16=56

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3 years ago

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On average, Gil reads 57 pages in a book each week.<br> How many pages des Gil read in 12 weeks?

Triss [41]

Answer:

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Step-by-step explanation:

57 times 12

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