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3 years ago

36 − 9m^2 factorized

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

Answer:

Step-by-step explanation:

Note that the expression is the difference of squares.

36 - 9m² = 6² - (3m)²

6² - (3m)² = (6 + 3m) (6 - 3m)

AnnZ [28]3 years ago

3 0

Answer:

9(2+m)(2-m)

Step-by-step explanation:

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Can someone help me with this!

Stolb23 [73]

Answer:

2. x = 18

3. x = 7

4. missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

the sum of angles of a triangle is 180°
angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

Problem 1

Work shown is correct.

Problem 2

Using the above observation, ...

(5x -11)° + (2x +20°) = (11x -63)°

7x +9 = 11x -63 . . . . . collect terms, divide by °

72 = 4x . . . . . . . . . . . add 63-7x

18 = x

Problem 3

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

9x -3 = 60

9x = 63 . . . . . . add 3

x = 7 . . . . . . . . .divide by 9

Problem 4

You don't need to find the value of x to answer this question. The base angle of an isosceles triangle is the complement of half the apex angle. This comes from the fact that the two base angles are equal measure.

(apex angle) + 2(base angle) = 180° . . . . sum of angles in isosceles triangle

(1/2)(apex angle) +(base angle) = 90° . . . divide by 2

base angle = 90° -(1/2)(apex angle) . . . . .solve for base angle

Filling in the given apex angle value, we get ...

base angle = 90° -(1/2)(34°) = 73°

Both missing angles are 73°.

7 0

3 years ago

Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head

musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, $BE = EC$ or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

$DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft$

Therefore, the building is 32 feet tall.

5 0

3 years ago

Solve the inequality. -x ≤ 5

yanalaym [24]

The answer is x ≥ −5

6 0

3 years ago

Read 2 more answers

Which statement is true about f(x) = -6|x+5| - 2?

Y_Kistochka [10]

Some schools do this differently, but since I don’t have any of the answer choices I’ll show you how to

Factor: -6|x+5|-2

Factor out the two

2(-3|x+5|-1)

And if you are looking for a graph here:

6 0

3 years ago

Lines a and b are parallel. Parallel lines a and b are cut by transversals s and t. The angles formed by the intersection of lin

notka56 [123]

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

x = 5

7 0

3 years ago

Read 2 more answers