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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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Please help. Offering all the points I have.
Simora [160]

The most specific name of the quadrilateral that's is drawn in the picture is a rhombus.

<h3>What is a rhombus?</h3>

It should be noted that a rhombus simony means a quadrilateral that has four sides and the total angles are 360°.

Also, from the information given, it can be depicted that the lengths are congruent and that the opposite sides are parallel.

Learn more about rhombus on:

brainly.com/question/20627264

#SPJ1

8 0
2 years ago
Melanie got a new employer pay job through the Jones recruitment agency the job pays $52,400 per year and the agency fee is equa
Zinaida [17]

Answer:

the  amount that pay to the agency is $1,091.67

Step-by-step explanation:

The computation of the amount that pay to the agency is as follows:

= Amount paid per year ÷ number of months × 25%

= $52,400 ÷ 12 months × 25%

= $1,091.67

Hence, the  amount that pay to the agency is $1,091.67

We simply applied the above formula so that the correct amount could come

5 0
3 years ago
Jasmine bought 7 yards of fabric that total cost was $45.43 what was the average cost per yard of the fabric she bought.
Doss [256]
$6.49 because 45.43÷7 is 6.49 ~JZ
3 0
3 years ago
In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park
Romashka [77]

Answer:

150 kids

Step-by-step explanation:

If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.

6 0
3 years ago
Read 2 more answers
PLS HELP ME!! this test will bring my grade up ahhh (question in picture(
weqwewe [10]

Answer:

A or D

Step-by-step explanation:

You know that triangles are Similar if they have like same angles. If too triangles are the same the 3rd one has to be too!

Hope this helped and I hope you do well on your test!! Good Luck!

*Sends good vibes* :)) <33

"You were born to be real, Not perfect.."

-SUGA-

4 0
3 years ago
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