Answer:
Segment BF = 16 is true.
Step-by-step explanation:
Since, DE is parallel to BC, so DE will divide AB and AC proportionally.
Hence,
⇒ 
{Since, given that AE = 12, EC = 18 and AD = 6}
⇒ BD = 9.
Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.
Hence, 
⇒ 
{Since, given that AE = 12, EC = 18 and FC= 24}
⇒ BF = 16.
Therefore, segment BF = 16 is true. (Answer)
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.
Answer:
42
Step-by-step explanation:
because it is the only one do t know so yeah lol
Answer:
48
Step-by-step explanation:
Answer:
$280
Step-by-step explanation:
According to the problem, calculation of the given data are as follows:
Principal amount (P) = $1,000
Rate of interest (r) = 7%
Time period (t) = 4 years
Here we use simple interest formula to calculate interest after 4 years.
I = P × r × t
By putting the value, we get
I = $1,000 × 7% × 4
= $70 × 4
= $280
