All categories

1 year ago

If m<6=72 degrees, then Find m<7

Mathematics

1 answer:

Sav [38]1 year ago

6 0

Based on the definition of supplementary angles and properties for algebraic handling, we conclude that the measure of angle 6 is equal to 108°.

<h3>What is the measure of an angle generated by two non-parallel lines?</h3>

According to the Euclidean geometry, a line crossed by a non-parallel line generates four pairs of supplementary angles. Two angles are supplementary if and only if the angles are adjacent to each other and the sum of their measures is equal to 180°.

Then, we know that the mathematical model is m ∠ 6 + m ∠ 7 = 180° = 72° + m ∠ 7 = 180°. Thus, m ∠ 7 = 108°. Based on the definition of supplementary angles and properties for algebraic handling, we conclude that the measure of angle 6 in the system generated by two non-parallel lines is equal to 108°.

To learn more on supplementary angles: brainly.com/question/13045673

#SPJ1

You might be interested in

Solve: |x+2|−1≥5. Write your solution in interval notation.

AlekseyPX

nswer:

Step-by-step explanat

|x+2| - 1 ≥ 5

 |x+2| ≥ 5+1

 |x+2| ≥ 6

 x+2 ≥ 6 hoặc x+2 ≤ -6

+ với x+2 ≥ 6  x ≥ 6 – 2  x ≥ 4

+ với x+2 ≤ -6  x ≤ -6 – 2  x ≤ -8

(-∝;-8)∪(4;+∝)

6 0

2 years ago

The display gives the result of performing a quadratic regression on a data set where the inputs are speeds in miles per hour an

alina1380 [7]

Y = a x² + b x + c
y = 0.0473809524 · 20² + 2.221428571 · 20 - 0.005952381 =
= 18.95236 + 44.42875 - 0.05952381 = 63.374978 ≈ 63.4
Answer: C ) 63.4 ft.

7 0

2 years ago

The volume of a cylinder with a height of 2 and radius of 3

prisoha [69]

Answer:

v = 18π

Step-by-step explanation:

v = πr²h

plug in the givens

v = π(3²)2

v = 18π exact answer

V = 18 * 3.14 = 56.52 decimal approximation

6 0

3 years ago

Show that the transformation T defined by T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

erastovalidia [21]

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

4 0

2 years ago

Find the value of x in the triangle listed here. If you could show me the steps, I would appreciate it.

-Dominant- [34]

Answer:

71°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.

180°=38°+x+?

180°=38°+71°+71°

Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.

7 0

2 years ago

Read 2 more answers