Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to
This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.
Combine like terms:
Divide both sides by 12:
We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x = 
°
∠BCD = 3x = 
°
∠CDA = 2x = 
°
∠DAB = 3x = °
Hope this helped!
This figure, I believe, is a triangular prism.
Answer:
10x - 1
Step-by-step explanation:
30x^2 − 33x + 3 =
= 3(10x^2 - 11x + 1)
= 3(10x - 1)(x - 1)
Answer: 10x - 1
Answer:
5ft
Step-by-step explanation:
Volume = length x width x height
5 x 3 x h = 75
15h = 75
h = 5
<h2>
For a. </h2>
While in the blueprint, each square is 1/4...in real life, it's 4 feet per square.
Meaning, the area of each square is (4 x 4) 16 square feet.
Since there are 8 squares/tiles in the bathroom...
...multiply 8 x 16 = 128 square feet in real life.
Multiply that with the cost, and since it costs $5 per square feet:
<h2>128 x 5 =
$640 (answer)</h2>
<h2>
For b. </h2>
Do it in similar steps.
Living room: 4 x 7 = 28 tiles
Bedroom: 4 x 5 = 20 tiles
20 + 28 = 48 tiles (in blueprint)
...multiply 48 x 16 = 768 feet square (in real life)
<em />
<em>[Convert feet into yards...3 feet equals 1 yard]</em>
a square yard would be 3 feet x 3 feet = 9 feet...
...divide 768 by 9
768 ÷ 9 = 85.33 square yards (rounded up)
Multiply that with the cost, and since it costs $18 per square feet:
<h2>85.53 x 18 =
$1535.94 (answer)</h2>
