Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer:
B.22
Step-by-step explanation:
4+4+7+7=22
Answer:
Commission earned = $459.6
Step-by-step explanation:
40% of 1149 = 0.4 x 1149 = $459.6
I've been waiting for someone to ask this question. It's one of my favorite questions to answer.
percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200
if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1
thus
percent is out of 100 so 1%=1/100 25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
so you divide to find x and get 180
so 45 is 25% of 180
The following is extra
as stated above 'of' can be taken as multiply so
45 is 25% of 180 can be rewriten as
45=25/100 times 180
but we don't know that 180 is the answer so we replace it with x then solve for x
