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sattari [20]
3 years ago
8

Perpendicular lines are two distinct coplanar lines that intersect to form what type of angle?

Mathematics
2 answers:
11111nata11111 [884]3 years ago
3 0
<span>Perpendicular lines are two distinct coplanar lines that intersect to form what type of angle right angle </span>
liberstina [14]3 years ago
3 0

Answer:

Right Angle

Step-by-step explanation:

Perpendicular line means that the line will divide something equally meaning both sides will be 90⁰ (right angle).

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Solve the system of equations below.<br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
timofeeve [1]

Answer:

  A.  (-7 -2)

Step-by-step explanation:

You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:

  7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)

  -21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses

  -51x = 357 . . . . . . . . collect terms

  x = -7 . . . . . . . divide by -51. This matches answer choice A.

7 0
3 years ago
Let G be a connnectde graph with n vertices and m edges. supposed also that m = n. prove that G contains exactly one cycle
ElenaW [278]

Answer:

Contradiction

Step-by-step explanation:

Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.

7 0
3 years ago
Determine the term life insurance amount per thousand on a 23-year-old male for a 5-year policy given that the face value of the
CaHeK987 [17]

Answer:

$2.62

Step-by-step explanation:

The rate per thousand is ...

... (premium amount)/(number of thousands of face value)

... = $397.26/151.625 ≈ $2.62

6 0
3 years ago
Read 2 more answers
The function g(x) is a translation of f(x) = (x 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x). Which fu
natali 33 [55]

The axis of symmetry of g(x) is 2 units right side from the origin then the function is \rm g(x) = (x - 2)^2 + k. Then the correct option is A.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function f(x) is (x+3)^2 - 10.

The axis of symmetry of f(x) is left side by 3 units.

The axis of symmetry of g(x) is 5 units to the right of f(x).

Then the axis of symmetry of g(x) is 2 units right side from the origin.

Then the g(x) will be

\rm g(x) = (x - 2)^2 + k

Thus, the correct option is A.

More about the function link is given below.

brainly.com/question/14674614

5 0
2 years ago
PLEASE HELP! WILL GIVE 70 POINTS!!
Tresset [83]

Answer:

A=189\ mm^2

Step-by-step explanation:

<u>Surface Areas </u>

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

A_f=b.h=(7.5)(9)=67.5 \ mm^2

The back left area is another rectangle of 4.5 mm by 9 mm

A_l=b.h=(4.5)(9)=40.5  \ mm^2

Finally, the back right area is a rectangle of 6 mm by 9 mm

A_r=b.h=(6)(9)=54 \ mm^2

Thus, the total surface area of the prism is

A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2

\boxed{A=189\ mm^2}

4 0
2 years ago
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