Answer:
Step-by-step explanation:
Hello There!
The shown figure is a parallelogram
If you didn't know the opposite angles of parallelograms are congruent ∠A≅∠C and ∠B≅∠D
so we can set up an equation to solve for w
because ∠B≅∠D we use this equation
14w + 50 = 28w - 45
now we solve for w
step 1 add 45 to each side
-45+45 cancels out
50 + 45 = 95
now we have 14w + 95 = 28w
step 2 subtract each side by 14w
28w-14w=14w
now we have 14w = 95
step 3 divide each side by 14
14w/14=w
we're left with
The composite figure includes a rectangle and trapezoid
The area of the composite figure is 810.5cm².
<h3>How to determine the area?</h3>
From the complete question, we have the following parameters:
Shapes: Rectangle and trapezoid
The area of the rectangle is:
Area = Length × Width
So, we have:
Area = 15 × 23
Area = 345cm²
The area of the trapezium
Area = 0.5 × (a + b) ×h
So, we have:
Area = 0.5 × (15 + 34) × 19
Area = 0.5 × 49 × 19
Area = 465.5cm²
Add both areas to calculate the area of the composite figure
Total area = 345cm² + 465.5cm²
Total area = 810.5cm²
Hence, the area of the composite figure is 810.5cm².
Read more about area on:
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First we have 8x -5=3x+10, so x =3.
Hence AB =CD =19.
So 38+DA +BC =46, but DA =BC,
38+2DA=46, then 2DA =8,
DA =4.
The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75
<h3>Simplification</h3>
5(6 ÷ 2² × 3 - 1)
Bodmas
- B - Bracket
- O - of
- D - division
- M - Multiplication
- A - Addition
- S - Subtraction
= 5(6 ÷ 4 × 3 - 1)
= 5(6 ÷ 4 × 2)
= 5(6 ÷ 8)
= 5(0.75)
= 3.75
Learn more about simplification:
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The first thing we will do is assume that the prism is square based.
We have then that the edges of the base are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the top of the prism are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the prism height are:
P = 4h
P = 4 (11)
P = 44 cm
The total sum will be:
Pt = 32 + 32 + 44
Pt = 108 cm
Answer:
the sum of all edges is:
Pt = 108 cm
