Answer:
B
Step-by-step explanation:
The number of bushels of apples he picks (B) would be times by 5 as he would earn that much per bushel to get his pay (P)
Answer:
10x+5
Step-by-step explanation:
You would add 3x and 7x
you would leave 5 alone because it has no x thus it can not be added to the 3x and 7x
The answers are:
P ' = (-4,-7)
Q ' = (-8,-7)
R ' = (-3,3)
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All you do is swap the x and y coordinates of the given points P, Q and R
The general rule is (x,y) ---> (y,x)
So that's why something like P = (-7,-4) becomes P ' = (-4,-7) when we reflect over the line y = x. The other points are handled the same way.
9514 1404 393
Explanation:
(In order avoid issues with the Brainly censor, we're going to rename point F as point G in this answer. Wherever you see G, you can use F in your own response to this question.)
<u><em>General Approach</em></u>
The perpendicular lines tell you these are right triangles. There are a few ways to show right triangles are congruent, one of which is the "HL theorem." It requires you show the hypotenuse and one leg are congruent in the two triangles.
Here, the hypotenuses, DE and AG, are shown as congruent. All that remains is to show one leg is congruent. We have no information about legs BE and CG, but we do have information that will let us show legs AC and DB are congruent.
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<em><u>Proof</u></em>
1. DE ≅ AG, DC ≅ AB, GC⊥AC, EB⊥DB . . . . given
2. m∠EBD = 90°, m∠GCA = 90° . . . . definition of perpendicular lines
3. CD + CB = DB . . . . segment sum theorem
4. AB + CB = DB . . . . substitution property of equality (CD→AB)
5. AB +CB = AC . . . . segment sum theorem
6. DB = AC . . . . transitive property of equality
7. ΔACG ≅ ΔDBE . . . . HL theorem
Answer:
52metre
Step-by-step explanation:
Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is
( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]
But we need to convert those mixed fractions to improper fraction for easy simplification
1 1/4= [(4×1)+4]= 5/2
3 1/4=[(4×3)+1)]=13/4
Then we can proceed with simplification as
(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]
But we were given length of the actual peace of land as 20 cm, then
(5/2)/(13/4)=[blueprint of the plot of land/20]
If we cross multiply we have
[blueprint of the plot of land] ×13/4 =5/2 ×20
[blueprint of the plot of land] =(5/2 ×20)÷(13/4)
= 50/(13/4)
=(4×13)/50
= 52
Therefore, the length of the actual peace of land is 52metre