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VMariaS [17]
4 years ago
4

Every proof needs Given and Prove statements. Use the endpoints on the diagram to write a Given statement indicating the down tu

be is longer than the top tube. Prove the relationship between the opposite angles of the given sides. (2 points; 1 point for the Given statement, 1 point for the Prove statement)

Mathematics
1 answer:
Orlov [11]4 years ago
7 0

Answer:

m<ABC > m<ACB (angle property of a triangle)

Step-by-step explanation:

Given that: ΔABC

                  AB = AX

Prove: m<ABC > m<ACB

From the given diagram,

ΔABX is an isosceles triangle (two congruent sides and angles)

<AXB = m<ABX = 90^{o} (isosceles triangle property)

AC = AX + XC

Thus,

AC > AB

m<ABC = m1 + m3 ≥  90^{o}

m<ACB < 90^{o} (acute angle property)

Therefore since in a triangle the longest side is opposite to the greatest angle, then;

m<ABC > m<ACB (angle property of a triangle)

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The sum of three numbers is 88 . The first number is 7 less than the second. The third number is 3 times the second. What are th
icang [17]

88 = X +(x-7)+3X

88=5X-7

95 = 5X

X=19

1st number = 12

2nd number = 19

3rd number = 57

12+19+57 = 88

7 0
4 years ago
What interger is equivalent to 25 3/2
Alenkinab [10]

Answer:

26 1/2 is not equivalent to and integer but it can be approximated to 27 which is an integer.

Explanation

An integer is a whole number. It is a number that is not a fraction.

253/2=25+3/2=25+1 1/2=26 1/2

26 1/2 is not equivalent to and integer but it can be approximated to 27 which is an integer.

8 0
4 years ago
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Which services do Washington counties provide residents? Check all that apply. They administer public safety. They create local
lawyer [7]

The services which Washington counties provide residents are: A, C, D and E.

<h3>What are Washington counties?</h3>

Washington counties can be defined as the thirty-nine (39) counties that were created within the state of Washington in the United States of America.

In the United States of America, some of the services which Washington counties provide residents include the following:

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Read more on Washington counties here: brainly.com/question/26003701

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3 0
2 years ago
Consider the functions f(x) = ( 5 )" and g(x) = (*)* + 6. What are the ranges of the two functions?
nika2105 [10]

Answer:

The range of the function is the set of all possible values that function can take. Both given functions

y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

and y=\left(\dfrac{4}{5}\right)^x+6y=(

5

4

)

x

+6

are exponential functions with base \dfrac{4}{5}.

5

4

.

The graphs of these function you can see in attached diagram.

The range of the function y=\left(\dfrac{4}{5}\right)^xy=(

5

4

)

x

is (0,\infty).(0,∞).

The range of the function y=\left(\dfrac{4}{5}\right)^x+6y=(

5

4

)

x

+6 (this function is translated function y=\left(\dfrac{4}{5}\right)^xy=(

5

4

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x

6 units up) is (6,\infty).(6,∞).

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3 years ago
Find the LMN....<br> Help
timofeeve [1]
The angle measuring x° and the angle measuring (3x-70)° are corresponding angles and are this congruent, or

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so the measure of both of the angles is 35°
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3 years ago
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