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horrorfan [7]
3 years ago
9

I Need Help Answer Plz I Need It Badly!!!

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer: Yes it is.

Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.

According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.

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Write the equation of a line in slope-intercept form that passes through the given points.
ruslelena [56]

Answer:

<h2>         y = 0.25x + 2</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, 2)    ⇒     x₁ = 0,  y₁ = 2

(-4, 1)     ⇒     x₂ = -4,  y₂ = 1

So the slope:

\bold{m=\dfrac{1-2}{-4-0}=\dfrac{-1}{-4}=0.25}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = 0.25

(0, 2)    ⇒     x₀ = 0,  y₀ = 2

Therefore:

               y - 2 = 0.25(x - 0)

               y - 2 = 0.25x                  {add 2 to both sides}

               y = 0.5x + 2          ←  the slope-intercept form of the equation

5 0
3 years ago
Help me with my last question plz
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The angle JKH is also 57°.
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A square painted has a side length of 18 inches what is the area of the painting
Andrei [34K]
To find the area of a square, you multiply the side length by itself. So, multiply 18 feet by 18 feet to get 324 square feet.
8 0
3 years ago
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Bill is bisecting an angle with technology Which of the following describes his next step?
maw [93]

Answer:

  Mark point E where the circle intersects segment BC

Step-by-step explanation:

Apparently, Bill is using "technology" to perform the same steps that he would use with compass and straightedge. Those steps involve finding a point equidistant from the rays BD and BC. That is generally done by finding the intersection point(s) of circles centered at D and "E", where "E" is the intersection point of the circle B with segment BC.

Bill's next step is to mark point E, so he can use it as the center of one of the circles just described.

___

<em>Comment on Bill's "technology"</em>

In the technology I would use for this purpose, the next step would be "select the angle bisector tool."

6 0
3 years ago
Read 2 more answers
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