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marissa [1.9K]
3 years ago
12

Help ...........................

Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

the square root of 20.

Step-by-step explanation:

When trying to find the lengths of the sides of a right triangle, we use the Pythagorean Theorem. The variable "c" is the hypotenuse, or diagonal of the triangle. So, using this information, we plug in the variable.

a=4

b=?

c=6

4^2+b=6^2

simplify the terms.

4^2=16

6^2=36

rewrite the equation with the newly found information.

16+b=36

solve.

36-16=20

20 is now a part of the equation. remember, the equation deals with the squared ratios of the sides. so, to get the true length of side b, we have to take the square root of the sides. the square root of 20 is your answer.

eventually it can be broken down further into 2 root 5, but that isnt the answer you need .

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Which statement listed below illustrates the reflexive property of congruence
Vlad1618 [11]

Option D:

\triangle K L M \cong \triangle K L M

Solution:

Reflexive property of congruence:

<em>Reflexive property of congruence means the geometric figure is congruent to itself.</em>

Option A: If \triangle K L M \cong \triangle P Q R \text { and } \triangle P Q R \cong \triangle S T U \text { , then } \triangle K LM\cong \triangle S T U

From the definition of reflexive property, it is not true.

This is transitive property of congruence triangles.

Therefore it is false.

Option B: \text { If } \triangle  KL M \cong \triangle P Q R \text { , then } \triangle P Q R \cong \triangle S T U \text

From the definition of reflexive property, it is not true.

Therefore it is false.

Option C: \text { If } \triangle K L M \cong \triangle P Q R \text { , then } \triangle P Q R \cong \triangle K L M

From the definition of reflexive property, it is not true.

Therefore it is false.

Option D: \triangle K L M \cong \triangle K L M

Here, ΔKLM is congruent to itself.

This statement illustrates the reflexive property of congruence for triangles.

Therefore, it is true.

Hence option D is the correct answer.

4 0
3 years ago
Read 2 more answers
An engineering crew ran several tests on a new automobile engine they were designing. The mean fuel consumption was 52.4 miles p
zhenek [66]

Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."  

2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8.  Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

8 0
3 years ago
The number of pages that Kline can read varies directly with the time he spends reading if he reads 13 pages in 25 minutes how m
sukhopar [10]

Answer:It is 650

Step-by-step explanation:

13x25=352

352x2=650

3 0
3 years ago
Read 2 more answers
Number 13 pleaseeeeeee
aliina [53]

well i cannot help u graph but u need to get them in y=mx+b form first

2x+y=4

y=-2x+4

2y-4x=6

2y=4x+6

y=2x+3

now that the problems are in y=mx+b form, u can graph them. the "b" is your y-intercept. you need to graph this first so what ever ur be is, put a point there on the y axis. then use your slope to plant your line. slope is rise/run. so for the top problem start at your y intercept and go down 2 and to the right 1. and for the bottem problem, start at your y intercept then go up 2 and to the right 1

HOPE THIS HELPED!

3 0
3 years ago
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Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequen
Crank

Question:

Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

30

∑  (−3i+5)

i=1

Answer:

The first three terms are : 2, -1 and -4

The last term is: -85

The sum of the sequence is: -1245

Step-by-step explanation:

Given;

==================================

30

∑  (−3i+5)                    -------------------(i)

i=1

==================================

Where the ith term aₙ is given by;

a_{i} = -3i + 5         -------------------(ii)

(a) Therefore, to get the first three terms (a_1, a_2, a_3), we substitute i=1,2 and 3 into equation (ii) as follows;

a_{1} = -3(1) + 5 = 2

a_2 = -3(2) + 5 = -1

a_3 = -3(3) + 5= -4

Since the sum expression in equation (i) goes from i=1 to 30, then the last term of the sequence is when i = 30. This is given by;

a_{30} = -3(30) + 5 = -85

(b) The sum s_n of an arithmetic sequence is given by;

s_n = \frac{n}{2}[a_1 + a_n]   -----------------(iii)

Where;

n = number of terms in the sequence = 30

a_1 = first term = 2

a_n = last term = -85

Substitute the corresponding values of n, a_1 and a_n into equation (iii) as follows;

s_n = \frac{30}{2}[2 + (-85)]

s_n = 15[-83]

s_n = -1245

3 0
3 years ago
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