Answer:
x = 7
Step-by-step explanation:
Because:
GD = x + 4
GC = 4x + 5
And D is the centroid of ABC
So GC = 3GD
<=> 4x + 5 = 3(x + 4)
<=> 4x + 5 = 3x + 12
<=> 4x - 3x = -5 + 12
<=> x = 7
Done!!
You ok?? :))
Answer: The correct option is (A). angle 1.
Step-by-step explanation: In the given diagram, the measure of ∠3 is 105°.
We are to find the angle that must also measure 120°.
We know that the measures of two vertically opposite angles are equal.
In the given diagram, since ∠1 and ∠3 are vertically opposite angles.
So, the measures of ∠1 and ∠3 are equal.
That is,
m∠1 = m∠3.
Also, m∠3 = 105°.
Therefore, m∠1 = 105°.
Thus, the measure of angle 1 must be 105°.
Option (A) is correct.
Answer:
4
Step-by-step explanation:
37 times 3 is 111 and since there are 30 pencils in each box they would need 4 boxes which gives them 120 pencils.
The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?
KATRIN_1 [288]
Hello.
The range with 78 is 55
without 78 is 22
So the range goes down
Have a nice day
Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
