Answer:
See explanation
Step-by-step explanation:
<u><em>1st photo:</em></u>
x =

= 15
x =
<u><em>2nd photo:</em></u>
(a) GEH ~ FGH ~ FEG
<em>similar triangles, use similar corners in the right order</em>
(b)
AND 
<em>similar triangles, use similar sides in proportion</em>
<em />
<u><em>3rd photo:</em></u>
x = 4.5 or 4 1/2

<em>2x = 9</em>
<em>x = 4.5 or 4 1/2</em>
<em />
<u><em>4th photo:</em></u>
Length of string = 118.2 ft
<em>sin(40) = 76/x</em>
<em>x = 76/sin(40) = 118.2</em>
The first equation can be simplified down to 3 and -\frac{3}{2}[/tex]. Therefore, ">" is correct.
The second equation can be simplified down to 12 and 6.25. Therefore, "<" is incorrect. It should be ">".
It has to be noted that there are several ways to factor the item. One of these is shown below.
The general form of a quadratic equation is,
Ax² + Bx + C = 0
where A and B are numerical coefficients and C is the constant. If we are to express the given equation in this form,
2x² - 5x - 88 = 0
The sum of the roots, x₁ and x₂ is -B/A and the product is equal to C/A.
Sum: x₁ + x₂ = -(-5/2) = 5/2
Product: x₁x₂ = -88/2 = -44
The values of x₁ and x₂ are 8 and -11/2.
The factors are (x - 8) and (x + 11/2)
<em>ANSWERS: 8 and -11/2. </em>
Answer:
B) 40%
<em>10 is 40% of 25.</em>
Answer: The sash will have 20 diamonds when it is completed.
Step-by-step explanation:
Given: The length of American sash= 8 feet
Since, Joseph wants to add a diamond shape every 0.4 ft along the sash.
Therefore, the number of diamonds he will need to complete the sash= 
⇒ The number of diamonds he will need to complete the sash= 
Hence, the number of diamonds he will need to complete the sash= 20