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2 years ago

9

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent. Given: ∠C, ∠F

are rt. ∠'s; ∠B = ∠E; BC = EF

2 answers:

viva [34]2 years ago

5 0

Angle Angle Side (or AAS)

Nikolay [14]2 years ago

4 0

Answer:

Angle Side Angle

Step-by-step explanation:

Here, the following triangles are congruent by using Angle Side Angle

∠c=∠F(90°) (Angle)

BC=EF (Given) (Side)

∠B=∠E (Given) (Angle)

By using Angle Side Angle criteria, we can say that

Both the triangles are congruent

Hence, Both triangles are congruent by using ASA criteria.

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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m

d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, $x+y=22$ ----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

$0.75x+0.40y=11.95$ ------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

$x+y=22$

$y=22-x$ ----------------(3)

put y value in equation 2.

$0.75x+0.4(22-x)=11.95$

$0.75x+0.4\times 22-0.4x=11.95$

$0.75x+8.8-0.4x=11.95$

$0.75x-0.4x=11.95-8.8$

$0.35x=3.15$

$x=\frac{3.15}{0.35}$

$x=9$

Now substitute x value in equation 3.

$y=22-9$

$y=13$

So, he buy 13 pencils.

5 0

2 years ago

List all the factors of 16

Olenka [21]

Answer:

There are 5 factors of 16, which are 1, 2, 4, 8, and 16.

5 0

2 years ago

Read 2 more answers

Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 3, 9, 27

r-ruslan [8.4K]

a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number

might be confusing so here's an example

1,2,4,8,16

each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio

formula for geometric sequence is

$a_n=a_1(r)^{n-1}$

where $a_n$ is nth term

$a_1$ is first term

r is teh common ratio

n=which term

in our example

1,3, 9, 27, 81

each term is being multiplied by 3 so it is a geometric sequence and thus r=3

also first term is 1 so $a_1=1$

so the formula is $a_n=1(3)^{n-1}$ or in function notation $f(n)=1(3)^{n-1}$

7 0

3 years ago

Read 2 more answers

The city soccer club has thirteen new members and fifty-two returning members. If they break up into teams of eleven players, ho

Vedmedyk [2.9K]

Answer:

5

Step-by-step explanation:

The easiest way to do this is to add the new members to the old and then divide by 11. Ignore the remainder.

13 + 52 = 65

65 / 11 = 5 with 10 left over. Ignore the 10. That's not a complete team.

The answer is 5

4 0

2 years ago

Shopping at clothing world, jenna buys her children four shirts and three pairs of pants for 124.25. She returns the next day an

Aleksandr-060686 [28]

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Step-by-step explanation:

Let,

Cost of one shirt = x

Cost of pair of jeans = y

According to given statement;

4x+3y=124.25 Eqn 1

3x+5y=161.25 Eqn 2

Multiplying Eqn 1 by 3

$3(4x+3y=124.25)\\12x+9y=372.75\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 4

$4(3x+5y=161.25)\\12x+20y=645\ \ \ Eqn\ 4$

Subtracting Eqn 3 from Eqn 4

$(12x+20y)-(12x+9y)=645-372.75\\12x+20y-12x-9y=272.25\\11y=272.25$

Dividing both sides by 11

$\frac{11y}{11}=\frac{272.25}{11}\\y=24.75$

Putting 24.75 in Eqn 1

$4x+3(24.75)=124.25\\4x+74.25=124.25\\4x=124.25-74.25\\4x=50$

Dividing both sides by 4

$\frac{4x}{4}=\frac{50}{4}\\x=12.50$

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

8 0

2 years ago