Answer=Carlos
If Jackie has 10 groups, with 3 in each groups, she has 30 total pennies.
10*3=30 pennies
If Carlos has 5 groups with 100 in each group, then Carlos has 500 pennies.
5*100=500 pennies
500 pennies is more than 30 pennies, so Carlos has more pennies
Answer:

Step-by-step explanation:
Given
x² - 3x
To make the expression a perfect square
add ( half the coefficient of the x- term )²
x² + 2( -
)x +
, thus
x² - 3x + 
= (x -
)² ← a perfect square
Answer:
<u>135.94 feet</u>
Step-by-step explanation:
Split the problem into two parts :
- Distance between viewer and building
- Height of the top part of the building
<u>Distance between viewer and building</u>
- The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
- Let the distance be called 'd'
- Therefore, tan37° = 40/d
- tan37° = 3/4 = 0.75
- ⇒ 40/d = 0.75
- ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet
<u>Height of the top part of the building</u>
- Let the height of the top part be 'h'
- Therefore, tan61° = h/d = h/53.3
- tan61° = 1.8
- ⇒ h/53.3 = 1.8
- ⇒ h = 53.3 x 1.8 = 95.94 feet
<u>Total height of building</u>
- Lower part + Top part
- 40 + 95.94
- <u>135.94 feet</u>
<u />
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7