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KengaRu [80]
3 years ago
8

This is my last quiz question, Please help <3

Mathematics
1 answer:
Mila [183]3 years ago
6 0
The measures of the angles of a triangle add up to 180 degrees.
<span>This is true of all triangles.


You have two given angles of triangle PQR.
They are 24 degree and 100 degree.
<span>What do those measures add up to?


</span><span>What is 100 + 24? = 124


</span>
When you add the measure of the third angle to 124, you must get 180.
To find the measure of the third angle, just do 180 - 124.
<span>What do you get?



</span>
180 - 124 = 56
That means the third angle of triangle PQR measures 56 deg.
Now we know the measures of all three angles of triangle PQR: 24, 100, 56.
Triangle RST has two angles that measure 24 deg. and 56 deg.
<span>Since two angles of triangle PQR are congruent to two angles of triangle RST, the triangles are similar.</span>

</span>
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A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the
kozerog [31]
For the answer to the question above,
The slope of the line of the line is calculated through the equation,
m = (y2 - y1) / (x2 - x1) 

Using the first two points in the given,
 m = (-7 - 9) / (-12 - 8) = 4/5

The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is,
 y - -15 = (4/5)(x - -5)

Simplifying gives the answer of,
y = (4/5)x -11

Eliminating the fraction, 
5y = 4x - 55

I hope my answer helped you.
6 0
3 years ago
Read 2 more answers
In the design shown below, four semicircles are attached to a square whose area is 36 square centimeters. Which of the following
CaHeK987 [17]

Answer:

56.549 cm   (choice 1)

Step-by-step explanation:

If the area of the square if 36 cm, then each side is 6 cm.

That means the diameter for each semi circle is also 6 cm.

Formula for a semi circle is 1/2(πr²)

We need the radius, which is half the diameter. So the radius is 6÷2= 3

Now plug in to the formula.

A= 1/2(π3²)

A= 14.137 (nearest hundredths)

Now multiply that by 4, because there are 4 semi circles

4(14.137)= 56.549 cm (nearest hundredths)

3 0
3 years ago
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not ha
Mazyrski [523]

9514 1404 393

Answer:

  1. x = x+1
  2. 0 = x+1
  3. x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

3 0
3 years ago
Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis
Igoryamba

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

25a = - 5 ( divide both sides by 25 )

a = - \frac{5}{25} = - \frac{1}{5}

y = - \frac{1}{5} (x - 3)² + 1 ← in vertex form

7 0
4 years ago
How to solve this problem
shepuryov [24]
I cant tell if this is french or spanish but please translate so we can try to help you
3 0
3 years ago
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