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Leto [7]
1 year ago
15

Please help with p and q maths geometry

Mathematics
1 answer:
baherus [9]1 year ago
4 0

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°

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BC =<br> Round your answer to the nearest hundredth.<br> B<br> 50°<br> 7
Brrunno [24]

Answer:

BC = 5.87

Step-by-step explanation:

Reference angle = 50°

Side Opposite to reference angle = 7

Adjacent side = BC = ?

Apply trigonometric function, TOA, thus:

Tan 50 = Opp/Adj

Tan 50 = 7/BC

BC × Tan 50 = 7

BC = 7/Tan 50

BC = 5.87369742 ≈ 5.87 (nearest hundredth)

4 0
3 years ago
What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?
Butoxors [25]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m = 4 → y=4x+b

and point (1, 6). Substitute:

6=4(1)+b

6=4+b     <em>subtract 4 from both sides</em>

2=b\to b=2

<h3>Answer: y = 4x + 2</h3>
5 0
3 years ago
Suppose m &lt; ABC = 110. what is m &lt; DBC
laiz [17]
I believe the answer is   A. 40.
6 0
3 years ago
Fran bought some art supplies from an online retailer. The retailer charges a $5.95 shipping fee or 6% of the total purchase pri
rodikova [14]

Answer:

Step-by-step explanation:

if 124.50 represents  100%

how much x  represents 6% ?

cross multiply

x= 124.50*6/100= 7.47

$7.47 > $5.95 so it will pay $7.47 in shiping

4 0
3 years ago
Read 2 more answers
Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.
Elza [17]
Using the quotient rule  

dy/dx  =  (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
              ----------------------------------------------
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You are correct
7 0
3 years ago
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