What is the value of the expression? −2^6 − (6)^2 Enter your answer in the box.

Please help with p and q maths geometry

baherus [9]

Step-by-step explanation:

p)

in a very similar way, as the sum of all 4 angles in a triangle is always 180°, so is the sum of all angles in a quadrilateral (a polygon with 4 sides) 360°.

just look at rectangles at special representatives of such quadrilaterals.

now that we know this, we can simply say, the sum of all angles in our shape must be 360° :

(8x + 2) + (4x + 2) + (x - 2) + (5x -2) =

= 18x = 360

x = 20

A = 8×20 + 2 = 162°

B = 4×20 + 2 = 82°

C = 5×20 - 2 = 98°

D = 20 - 2 = 18°

a trapezium has the following properties (in the UK):

like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.

a trapezium has two parallel sides and two non-parallel sides.

the diagonals of a regular trapezium bisect each other.

in the USA for example the request for 2 parallel sides does not exist.

we have proven the point with the angle sum.

the other 2 are given by the diagram.

so, yes, it is a trapezium.

q)

the sum of all interior angles of a polygon is

(n - 2) × 180°

n being the number of d sides.

we have here a regular pentagon (5 equal sides).

the size of the angle at any vertex is then

(5 - 2) × 180 / 5 = 3 × 180 / 5 = 3×36 = 108°.

so, theta = 108°.

alpha + beta = 108°

ABE is an isoceles triangle.

so, beta = angle 1

beta + angle 1 + theta = 180

2×beta + 108 = 180

2×beta = 72

beta = 36°

therefore,

alpha = 108 - beta = 108 - 36 = 72°

4 0

1 year ago

Feel good inc lyrics by gorillaz and is also worth 100 points cuz why not-

krok68 [10]

This is my songgg!! Lol

4 0

3 years ago

Read 2 more answers

Can someone check these answers for me

Salsk061 [2.6K]

Hun, these questions look opinionated. They are asking what all you can do and what you need help with.

5 0

3 years ago

Ms.Coreas is trying to grow some Yeast in her lab for a Bread experiment… She starts with only 1 yeast cell and needs at LEAST 4

Alisiya [41]

Answer:

21 cells

Step-by-step explanation:

4x5+1=21

7 0

3 years ago

Sugar canes have lengths X that are normally distributed with mean 365.45 cm and standard deviation 4.9 cm what is the probabili

Gemiola [76]

Answer:

The probability of the length of a randomly selected Cane being between 360 and 370 cm P(360 ≤X≤370) = 0.6851

Step-by-step explanation:

step(i):-

Let 'X' be the random Normal variable

mean of the Population = 365.45

Standard deviation of the population = 4.9 cm

Let X₁ = 360

$Z= \frac{x-mean}{S.D}= \frac{360-365.45}{4.9}$

Z₁ = -1.112

Let X₂ = 370

$Z= \frac{x-mean}{S.D}= \frac{370-365.45}{4.9}$

Z₂ = 0.911

Step(ii):-

The probability of the length of a randomly selected Cane being between 360 and 370 cm

P(x₁≤x≤x₂) = P(z₁≤Z≤z₂)

P(360 ≤X≤370) = P(-1.11≤Z≤0.911)

= P(Z≤0.911)-P(Z≤-1.11)

= 0.5 +A(0.911) - (0.5-A(1.11)

= 0.5 +A(0.911) - 0.5+A(1.11)

= A(0.911) + A(1.11)

= 0.3186 + 0.3665

= 0.6851

The probability of the length of a randomly selected Cane being between 360 and 370 cm P(360 ≤X≤370) = 0.6851

5 0

3 years ago