What reason could you use in a proof to prove two triangles are congruent by SSS?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

BECAUSE SSS IS SAYING THIS TRIANGLES ARE CONGRUENT BY SIDE SIDE SIDE

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A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remainingpiece of the board when $3(3)/(8)$ feet is cut off from the end of the board of $6(1)/(2)$ feet is

$3(1)/(8)$ feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = $6(1)/(2)$ feet.

The lengthcutoff from the board = $3(3)/(8)$ feet.

The remaininglength of the board:

= $6(1)/(2)$ - $3(3)/(8)$

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

= 25/8

Write it in a mixedfraction.

= $3(1)/(8)$ feet

Thus,

The remainingpiece of the board when $3(3)/(8)$ feet is cut off from the end of the board of $6(1)/(2)$ feet is $3(1)/(8)$ feet.

Learn more about fractions here:

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Answer:

$6 * (1)/(2) - 3 * (3)/(8) = 1 * (7)/(8)$

6 students share 4 bagels equally. How many pieces does each person get? (p.s thanks to everyone who answers)

Answers

Solution:

we are given that

6 students share 4 bagels equally.

we have been asked to find that

How many pieces does each person get?

Here we will have to use the concept of division. Because we are dividing bagels among the students.

So To get the number of pieces each will get divide 6 by 4.

Number of Pieces for each boys $=(6)/(4)=(3)/(2)=1(1)/(2) \n$

Hi!

You would get 1 and a half bagel for each person

6/4 = 1 1/2 or 1.5

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle? A) 6x2 + 8x + 2 B) − 8x + 2 C) 6x2 − 8x + 2 D) 6x2 − 8x − 2

Answers

Answer: Area = $6x^(2)-8x+2$

Step-by-step explanation:

The formula for calculating the area of a rectangle is given by :

Area = Length x width

length = $(6x-2)$

Width = $(x-1)$

Therefore :

Area = $(6x-2)(x-1)$

Expanding the equation , we have

Area = $6x(x-1) -2(x-1)$

Area = $6x^(2)-6x$ $-2x + 2$

Area = $6x^(2)-8x+2$

Which of the following is a statistical question?What color is the principal's car?

What is the most common color car in the school parking lot?

Does Jalen own a cell phone?
What is your favorite color?

HELP

Answers

Answer:

so the question is going to be .B

Step-by-step explanation:

Find the seventh term of thegeometric sequence, given the
first term and common ratio.
a_=1 and r=-2/3
[?]

Answers

Answer:

$T_7 = (64)/(729)$

Step-by-step explanation:

Given

$a =1$

$r = (2)/(3)$

Required

Determine the 7th term

The nth term of a gp is:

$T_n = a * r^{n-1$

So, we have:

$T_7 = 1 * (2)/(3)^{7-1$

$T_7 = 1 * (2)/(3)^{6$

$T_7 = 1 * (2^6)/(3^6)$

$T_7 = 1 * (64)/(729)$

$T_7 = (64)/(729)$

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. In another city known for biotech firms, 334 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. Perform a two-proportion hypothesis test to determine whether there is a difference in the proportions of college graduates with outstanding student loans who currently owe more than $50,000 in these two cities. Use α=0.05. Assume that the samples are random and independent. Let the first city correspond to sample 1 and the second city correspond to sample 2. For this test: H0:p1=p2; Ha:p1≠p2, which is a two-tailed test. The test results are: z≈−1.17 , p-value is approximately 0.242

Answers

Answer:

Null hypothesis: $p_(1) - p_(2)=0$

Alternative hypothesis: $p_(1) - p_(2) \neq 0$

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)((1)/(800)+(1)/(800))}}=-1.182$

$p_v =2*P(Z<-1.182)=0.2372$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant difference between the two proportions.

Step-by-step explanation:

1) Data given and notation

$X_(1)=311$ represent the number college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$X_(2)=334$ represent the number college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

$n_(1)=800$ sample 1

$n_(2)=800$ sample 2

$p_(1)=(311)/(800)=0.389$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$p_(2)=(334)/(800)=0.418$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)