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Kryger [21]
3 years ago
7

I need this answered

Mathematics
1 answer:
34kurt3 years ago
4 0
…………………………………………2737483829
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I don’t understand the problem or question
skad [1K]

Answer:

Part A

a. Could be a parallelogram but cannot be a rectangle

Part B

c. 100°

Step-by-step explanation:

Part A

The polygon constructed by Andrew = Four sided polygon having no right angles

From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus

The rectangle, and square both have 4 right angles

Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square

The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'

Part B

The given parameters of the rhombus EFGH are;

Angle E = 3·x + 5, angle H = 4·x

The characteristics of a rhombus are;

The sum of the interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal

The sum of the adjacent angles = 180° (The adjacent angles are supplementary)

Therefore, in the rhombus EFGH, we have;

Angle E, and angle H are supplementary angles

∴ Angle E + angle H = 180°

Substituting the values of angle E and angle H gives;

3·x + 5 + 4·x = 180°

7·x = 180° - 5 = 175°

x = 175°/7 = 25°

Angle H = 4·x

∴ Angle H = 4 × 25° = 100°

Angle H = 100°

Angle F = angle H = 100°

Therefore, angle F = 100°

4 0
3 years ago
PLEASE HELP ASAP!!!!!
maksim [4K]

Answer:

LM = LO

Explanation: In order to use the HL Theorem the triangles included must be right triangles and in this case they must have a congruent hypotenuse and in order for that, LM must be congruent to LO.

3 0
3 years ago
A rectangle is 64 cm long 40 cm wide find is area and perimeter​
kow [346]

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

7 0
2 years ago
Use the distributive property to simplify the expression: 5(-3x-7)
mixer [17]
5(-3x-7) (first multiply 5 to -3x then to -7)
-15x-35.
The answer is D) -15x-35
6 0
3 years ago
Read 2 more answers
A polygon’s interior angles sum to 3600 degrees. How many sides does it have?
Sergeeva-Olga [200]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
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