What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.

A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.

Answer:

6*4*2+8+2+2=60

Step-by-step explanation:

6*4=24

24*2=48

48+8=56

56+2=58

58+2=60

lol other person did the multiplication so i did the long way

The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Multiplication, Subtraction, Summation, and division.

As per the given numbers,2,4,6,8

Let's multiply 6 and 4

6 × 4 = 24

Now let's multiply 24 by 2

24 × 2 = 48

So, 6 × 4 × 2 = 48

Now we need to add only 12 to get 60 so, 8 + 4 = 12

So, 6 × 4 × 2 + 8 + 4 = 60

Hence "The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60".

To learn more about the arithmetic operators,

brainly.com/question/25834626

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Answer:

x=0,4

Step-by-step explanation:

Answer:

x = 30.8

Step-by-step explanation:

88 - 55 + 5x -7 = 180

33 + 5x -7 = 180

5x -7 = 180 - 33

5x - 7 = 147

5x = 147 +7

5x = 154

x = 154/5

x = 30.8

Hope you got it.

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Answer: Okay, I can find the slope, the answer is m=5.

Step-by-step explanation: To find the slope, use this formula:[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Please mark me as brainliest.

The slope as evaluated from the given pair of points is; Slope, m = 5.

The slope of a line defined by two points simply refers to the rate of change of the function given by the line.

Hence, slope, m = (28 -18)/(4 -2)

Read more on slope of given Points;

https://brainly.com/question/3493733

Answer:

x=6

y=3

Step-by-step explanation:

i u can't open the image i attached, pls inform me

Answer:

Below.

Step-by-step explanation:

tan < XYZ = opposite/adjacent

= 8/20  = 0.4.

XYZ = 21.8 degrees to 3 s f.

Answer:

[tex]\csc(\theta)=\sqrt{2}[/tex]

Step-by-step explanation:

Please refer to the attachment below.

We have:

[tex]5\cos^2(\theta)+6\sin^2(\theta)=11/2[/tex]

Remember that cosine is the ratio of the adjacent side to the hypotenuse. Therefore:

[tex]\cos(\theta)=\frac{b}{c}[/tex]

And sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\sin(\theta)=\frac{a}{c}[/tex]

Substitute into our original equation:

[tex]5(\frac{b}{c})^2+6(\frac{a}{c})^2=11/2[/tex]

Square:

[tex]\frac{5b^2}{c^2}+\frac{6a^2}{c^2}=\frac{11}{2}[/tex]

Multiply both sides by c squared:

[tex]5b^2+6a^2=\frac{11}{2}c^2[/tex]

Let’s also multiply both sides by 2 to eliminate the fraction:

[tex]10b^2+12a^2=11c^2[/tex]

Remember that according to the Pythagorean Theorem:

[tex]c^2=a^2+b^2[/tex]

Hence, we can make another substitution:

[tex]10b^2+12a^2=11(a^2+b^2)[/tex]

Distribute:

[tex]10b^2+12a^2=11a^2+11b^2[/tex]

Subtract 10b² from both sides:

[tex]12a^2=11a^2+b^2[/tex]

Subtract 11a² from both sides:

[tex]a^2=b^2[/tex]

Take the square root of both sides:

[tex]a=b[/tex]

Hence, a is equivalent to b.

Then, we must have a 45-45-90 Triangle.

Therefore, our angle θ is 45°.

We can substitute this back into our original equation to make sure. Remember that cos(45)=sin(45)=√2/2:

[tex]\begin{aligned} 5\cos^2(45)+6\sin^2(45)&=11/2 \\ 5(\frac{\sqrt{2}}{2}})^2+6(\frac{\sqrt{2}}{2})^2&=11/2 \\ 5(2/4)+6(2/4)&=11/2 \\ 5(1/2)+6(1/2)&=11/2 \\ 5/2+6/2&=11/2 \\ 11/2&=11/2 \;\checkmark \end{aligned} \\[/tex]

Hence:

[tex]\begin{aligned} \sin(45)&=\frac{1}{\sqrt{2}} \\ \Rightarrow \csc(\theta)&=\sqrt{2} \end{aligned}[/tex]

Answer:

Step-by-step explanation:

we can find the equations for both lines and analyze after

[tex]y = mx + b\\where\\m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

AB:

[tex](12, 3), (-3, 9)\\m = \frac{9-3}{-3-12} = \frac{6}{-15} = \frac{-2}{5}[/tex]

[tex]y = \frac{-2}{5}(x) + b\\3= \frac{-2(12)}{5} + b\\3 = \frac{-24}{5} + b\\b = \frac{39}{5} \\y = \frac{-2}{5}(x) + \frac{39}{5}[/tex]

CD:

[tex](-6, 4) (-2, -6)\\m = \frac{4-(-6)}{-6-(-2)} = \frac{10}{-4} = \frac{-5}{2} \\y = \frac{-5}{2}(x) + b\\4 = \frac{-5(-6)}{2} + b\\4 = 15 + b\\b = -11\\y = \frac{-5}{2}(x) - 11[/tex]

Determining whether two lines are parallel or perpendicular involves looking at their slopes. AB has a slope of -2/5, CD has a slope of -5/2. Since these are not equal (not parallel) and not negative reciprocals of each other (not perpendicular), the lines are neither perpendicular or parallel.