Answer:
6 feet
Step-by-step explanation:
Volume = w × h × l
120 = 4 × 5 × l
l = 120 / 20
l = 6 ft
 
        
                    
             
        
        
        
Answer:
x=
−1
2
y+
25/2
Step-by-step explanation:
Let's solve for x.
2x+1y=25
Step 1: Add -y to both sides.
2x+y+−y=25+−y
2x=−y+25
Step 2: Divide both sides by 2.
2x
2
=
−y+25
2
x=
−1
2
y+
25
2
 
        
             
        
        
        
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
<h3>What is the theorem of intersecting chord?</h3>
The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
Read more on intersecting chords here: brainly.com/question/27251228
#SPJ1
 
        
                    
             
        
        
        
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that 
Total watches in an inventory = 1000
Number of shipments sent out = 168, 231, 411
So, Remaining inventory of watches would be :

New receipts = 21, 145 and 11
So, Number of watches on hand becomes :

Hence, Third option is correct.
 
        
             
        
        
        
Answer:
Total donation by Alonzo's mother = $40.
Step-by-step explanation:
Complete Question.
Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for each mile that Alonzo walks.
 If Alonzo walks 15 miles, What will be the amount of her mother’s donation?
Alonzo's mum donates $10 for participation and an additional $2 per mile.
Alonzo walks 15 miles, this translates to an additional donation of (15×$2) = $30
Total donation by Alonzo's mother = $10 + $30 = $40.
Hope this Helps!!!