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sammy [17]
2 years ago
10

2.5.3 Journal: Proofs of Congruence

Mathematics
2 answers:
nexus9112 [7]2 years ago
8 0
I am doing this on apex aswell and i am stuck for the last few ones. I know that the answer to #1 is: Natalie- SAS and Emma- SSS the other ones im not so sure about. sorry for the lack of help, just thought one answer is better than none lol
Guest
1 year ago
do you have question 5
MakcuM [25]2 years ago
8 0

Statement Reason

AB and BC are congruent

CPCTC

DB and FB are congruent

CPCTC

Angle EBD congruent to angle EFB

CPCTC

Angle ABD congruent to angle EBD

Alternate angle theorem

Angle FBC congruent to angle EFB

Alternate angle theorem

ABD CBF

SAS theorem


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A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water
Alex

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

8 0
2 years ago
Your friend claims that if a line has a slope less than 1, then any line perpendicular to it must have a positive slope. Is your
mezya [45]

Answer:

The friend's claim is not correct

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)

Example

A given line has a slope of m_1=1/2  ---> (is less than 1)

the slope of the line perpendicular to the given line is equal to

m_1*m_2=-1

substitute

(1/2)*m_2=-1

m_2=-2

so

the perpendicular line don't have a positive slope

therefore

The friend's claim is not correct

5 0
2 years ago
SAT scores of students at an Ivy League college are distributed with a standard deviation of 250 points. Two statistics students
Minchanka [31]

Answer:

The sample size should be 273 students

Step-by-step explanation:

Here Raina wants to use 90% interval then

ME = z. SE

SE = s d/√n at end

ME/z   = s d/√n

n={z.sd/ME)²

Z = 1.65    =>due to  90%confidence interval

ME= 24

sd=250

putting these value in the question we get 273 students

8 0
2 years ago
Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. Which measure should Shania use to find how much the
valina [46]

Answer with explanation:

Test Scores of Shania's in 8 subject are: 88, 91, 85, 74, 69, 72, 80, and 87.

To calculate mean we add all the variate and divide by total number of Variate in the data set.

So, Mean of the Data set

            =\frac{88+ 91+ 85+ 74+69+ 72+ 80+ 87}{8}\\\\=\frac{646}{8}\\\\=80.75

To calculate , how much the scores on her tests vary, on average, from the mean score

We will Calculate mean absolute Deviation.

To calculate it,we will find absolute difference of each variate from mean.

| 88 - 80.75|=7.25

|91-80.75|=10.25

|85 -80.75|=4.25

|74-80.75|=6.75

......

........

Then Shania should calculate mean of the new data set obtained,which is absolute difference of each variate from mean.

→The Measure that,Shania should use to find how much the scores on her tests vary, on average, from the mean score is:

Mean absolute deviation

8 0
2 years ago
A plane is flying at 32, 460 feet. To avoid some turbulence, the plane ascends 1645 feet. It then descends 3/5 of its new height
aleksley [76]

Answer: C and E

Step-by-step explanation:

The plane starts at 32,460 feet.

It then ascends 1645 feet. Ascending means it's going up higher. So we add.

32,460 + 1645 = 34,105 (C)

From here (34,105 feet) the plane descends by 3/5 of it's height. Descending means it's lowering. So we subtract.

But first we have to figure out how much we are subtracting.

3/5 is equal to .6

Multiply to find 3/5 of current height.

34,105 × .6 = 20,463

So the plane descends by 20,463 feet.

34,105 - 20,463 = 13,642 feet (E)

3 0
2 years ago
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