Answer:
TA = 6 units
GT = 10 units
Step-by-step explanation:
Angle G is common to both triangles, so that's a congruent angle.
Since RT is parallel to EA,
Angle R = Angle E
And
Angle T = Angle A
When two triangles have the same distribution of angles, they are similar (by AAA).
Therefore GRT and GEA are similar
GE/GR = GA/GT
8/5 = 16/(16-x)
16-x = 16 × 5/8
16 - x = 10
x = 16 - 10
x = 6
GT = 16 - x = 16 - 6 = 10
1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.
2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14
Therefore, the oldest age Catie's brother can be is 14 years old.
3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11
The youngest age Julio can be is 11 years old.
Answer:
Step-by-step explanation:
With a negative fractional exponent place a 1 over the positive value
rewrite 8 as
apply the power rule and multiply the exponents.
cancel the common factor of 3
rewrite the expression
raise 2 to the power of 4 which =16
so the answer is
