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2 years ago

Sara says the △KLM is a right triangle. Is she correct? Explain

Mathematics

2 answers:

Olegator [25]2 years ago

6 0

well, we don't know, however we know from the pythagorean theorem that the square of the two perpendicular legs added together give the slanted leg square, or namely that a² + b² = c², let's see, hmmm say a = 11in and b = 14in

$\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{15}\\ a=\stackrel{adjacent}{11}\\ b=\stackrel{opposite}{14}\\ \end{cases}~\hfill 15^2=11^2+14^2 \\\\\\ 225=121+196\implies 225\ne 317~~\bigotimes~\hfill \begin{array}{llll} \textit{they're not equal}\\ \measuredangle L\textit{ is not a right-angle}\\ \textit{therefore }\triangle KLM\\ \textit{is not a right triangle} \end{array}$

Liono4ka [1.6K]2 years ago

4 0

Answer:

yea kim form 90 degree angle

Step-by-step explanation:

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If L ll M, classify the marked angle pair and give their relationship, then solve for x

Talja [164]

Answer:

Supplementary angle; x = 14.

Step-by-step explanation:

Angle (9x - 2) and angle (10y + 6) form a straight line, so they form a supplementary angle.

Because angle (9x - 2) and (5x + 54) are corresponding angles, we can set them equal to each other.

9x - 2 = 5x + 54

9x - 5x = 54 + 2

4x = 56

x = 14.

Hope this helps!

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2 years ago

The length of one side, s, of a shipping box is s(x) = ^3√2x, where x is the volume of the box in cubic inches. A manufacturer n

almond37 [142]

Answer:

Minimum value: 6 inches,

Maximum value: 8 inches.

Step-by-step explanation:

To find the minimum length of s, we need to use the minimum volume of the shipping box in the equation, so:

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The maximum value of the volume will give us the maximum value of the length:

s_maximum = ^3√(2*256) = ^3√512 = 8 inches

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3 years ago

Find the y- intercept 16) y=2x-6 17) y=-3/4x+2 18)y + 2 =1/2(x-4) 19)y-4=3(x+2)

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3 years ago

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a

Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

$\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}$

This can also be represented with:

$\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}$

Therefore, we need to identify our variables.

In every relationship, there is a dependent variable and an independent variable.

The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system: