Answer:
3,559.69
Step-by-step explanation:
the area = ½× 88×100× sin 54°
= 4400× 0.80902
= 3,559.69 sq units
Answer:
6, 12, 21, 10, then 4
Step-by-step explanation:
This is more difficult to answer than you would think, you can't actually see the picture when typing the answer
Answer:
A. Triangles are similar by AA similarity.
Step-by-step explanation:
By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar. As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total. Therefore, Angle R is congruent to Angle A. Angles REB and AEZ are also congruent by the vertical angle theorem.
In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.
Answer:
fourth option
Step-by-step explanation:
let t be tennis balls and g be golf balls, then
5t + 3g = 70 → (1)
2t + 5g = 85 → (2)
Multiplying (1) by 5 and (2) by - 3 will eliminate g
25t + 15g = 350 → (3)
- 6t - 15g = - 255 → (4)
Add (3) and (4) term by term to eliminate g
19t = 95 ( divide both sides by 19 )
t = 5
Substitute t = 5 into either of the 2 equations and solve for g
Substituting into (1)
5(5) + 3g = 70
25 + 3g = 70 ( subtract 25 from both sides )
3g = 45 ( divide both sides by 3 )
g = 15
Thus
$5 for tennis balls and $15 for golf balls
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
