how do I find the perimeter of a triangle​

Answer:

8 parts

Step-by-step explanation:

1. AD≅BC                                                                Given

2. AD║BC                                                                Given

3. ∠DAC and ∠BCA                                                Def. of alt.

are alt. interior  angles                                          interior angle

4. ∠DAC ≅ ∠BCA                                           alternate interior angle theorem

5. AC ≅ AC                                                       reflexive property

6. ΔDAC ≅ ΔBCA                                                     SAS

7. AB ≅ CD                                                              CPCTC

8. ABCD is a parallelogram                                parallelogram side theorem

The proof of ABCD is a parallelogram is given in the solution.

In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

The proof is as follows :-

AD≅BC (Given)

AD║BC (Given)

∠DAC and ∠BCA (alternate angles)

∠DAC ≅ ∠BCA (alternate angle)

AC ≅ AC (common)

ΔDAC ≅ ΔBCA (SAS rule)

AB ≅ CD (CPCT)

Hence,

ABCD is a parallelogram (by the definition of parallelogram)

Hence, proved.

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Answer:

x = 1/12

Step-by-step explanation:

2/3x + 1/4 = (8x+3) /12   (create equivalent fractions with a denominator of 12)

23/3x - 1/3 = (23x - 1) /3            *(46/6x = 23/3x)

8x + 3  =  23x - 1

    12            3

now cross-multiply:

3(8x + 3) = 12(23x - 1)

24x + 9 = 273x - 12

9 = 252x - 12

21 = 252x

x = 21/252 which reduces to 1/12

Answer:

A = (-4,-4) B = (-2,-2) C = (-5,-1)

Answer:

Your answer is 4

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Answer:

y=4x-5

Step-by-step explanation:

the slope intercept equation is y=mx+b

m=slope and b=y intercept

the slope is the change in y over the change in x and as y goes up 8 x goes over one 8/2=4 so the slope (m) is 4

The y intercept is at (0,-5) so b is -5

if we add it all together we get that the slope intercept equation is y=4x-5

Answer:

the slope is -1/7 hope this helps

Answer: D. f(x)-2

Step-by-step explanation:

Changes insides the parenthesis translate left and right. If it is [+] a number, then it is moving to the left. If it is [-] a number, then it is moving to the right.

Changes outside the parenthesis translate up and down. If it is [+] a number, then it is moving upward. If it is [-] a number, then it is moving downward.

----------------------------------------------------------------------------------------------------

Given

Translate f(x) 2 units downward

Solve

According to the rules, it should be -2 units outside of the parenthesis

Therefore, it should be f(x)-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D. f(x) – 2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

1= NUMBER 6 IS NOT LESS THAN -3, 6 IS MORE THAN -3

2=23 IS GREATER THAN -17

Step-by-step explanation:

BIG BRAIN

HOPE THIS HELPS

Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

The formula for the trigonometric function sin is:

[tex]sin[/tex]Ф[tex]=\frac{opposite}{hypotenuse}[/tex]

The side opposite to the ∠g is x, which is equal to 10

[tex]opposite=x[/tex]      [tex]x=10[/tex]

the hypotenuse of the triangle is z, which is equal to 11

[tex]hypotenuse=z[/tex]    [tex]z=11[/tex]

so the ratio is:

[tex]\frac{10}{11}[/tex]

plz mark me brainliest. :)  

13=9+m, 7-m=3 and im not sure about the third answer

Answer:

0.64 is a decimal and 64/100 or 64% is the percentage for 64/100.

Step-by-step explanation:

Answer:

64/100 = 0.64

Step-by-step explanation:

64/100=0.64

(i don't know how to explain it)

Answer:

1.22 dollars after sales tax

Answer:

12 foot.

Step-by-step explanation:

Given that,

A ladder leans a 15 foot ladder against a second story window.

The distance on the ground between the base of the ladder and the house is 9 feet.

We need to find the height of the ladder. Let it is h.

If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.

So, the height of the ladder that reaches the second story window is 12 foot.

Answer:

2.5

Step-by-step explanation:

2x = 5

x = 5/2 = 2.5

I hope im right!!

Answer:

y < 160

Step-by-step explanation:

y + 20 < 180

    -20 < -20

y < 160

y is less than 160

so the answer is y < 160

happy to help!

4 is the value of log₃ 81.

We have,

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The equation may be changed to read:

x = log base 3 of 81.

81 being equivalent to 3 to the power of 4, we get the following:

x Equals log base 3 of 34.

We may reduce this to: Applying the rule that log base an of ab = b

4 = x

By answering the above question, we may infer that We may reduce this equation to: Applying the rule that log base an of ab = b, 4 = x.

Hence, x = 4.

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Let Asia's and Rani's age be "x"

Since Asia is 10 years bigger Asia will be "x+10"

Asia's Age + Rani's Age = 200

x + x + 10 = 200

2x + 10 = 200

2x = 200 - 10

2x = 190

x = 190

     -----

       2

x = 95

Asia = x + 10

          95 + 10

          105

Rani's age is 95 and Asia's Age is 105

Answer:(3,-1)

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

The graph does not pass the line test.

Answer:

11/12 is the fraction that is closer to 1.

Answer:

11/12

Step-by-step explanation:

11/12 is only one unit away from becoming whole, (1), while the other options are 3, 2, and 5 units away from becoming whole.

Answer:

its B

Step-by-step explanation:

They are all direct variations

Answer:200

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = 5 + 10d

The variable "d" is the independent variable because its value does not depend on another variable. The variable "m" is the dependent variable because its value depends on the value of the variable "d"

Answer:

1/12

Step-by-step explanation:

Given:

The two points on the graph are R(-2,-4) and S(-8,-6).

To find:

The length of RS.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is

[tex]d=\sqrt{(-8-(-2))^2+(-6-(-4))^2}[/tex]

[tex]d=\sqrt{(-8+2)^2+(-6+4)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(-2)^2}[/tex]

[tex]d=\sqrt{36+4}[/tex]

On further simplification, we get

[tex]d=\sqrt{40}[/tex]

[tex]d=6.32455532[/tex]

[tex]d\approx 6.3[/tex]

Therefore, the length of AB is about 6.3 units. So, the correct option is C.

Step-by-step explanation:

A.

[tex]f(x) = \sqrt{x - 2} [/tex]

B.

[tex]g(x) = 2x [/tex]

C.

[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero