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) 120
Step-by-step explanation:
m = miles
$98=$80+$0.15m
$98-$80=$80-$80+$0.15m
$18=$0.15m
$18/$0.15=$0.15m/$0.15
120=m
Juliet drove 120 miles for $98.
(this is a good explanation, I guess)
Convert percentages to units.
100% - 20% = 80% = 0.8
100% - 25% = 75% = 0.75
Then multiply those together:
0.8*0.75=0.6=60%
100% - 60% = 40%. That's the overall price percentage reduction.
P.S. You can convert percentages to units by diving % by 100 for example 100% divided by 100 is equal to 1.
And vice versa aka multiply units by 100 and you get %, for example 0.8 times 100 is 80%
Sum means the result of addition.
Quotient means the result of division.
Product means the result of multiplication.
The product of 3 and 7 is 21, because:
3 × 7 = 21
Therefore, the quotient is 21.
Let the sum of the facing page numbers = x:
Therefore, x/5 = 21
Rearranging the equation to find x (the sum of the facing page numbers) gives us:
x = 21 × 5
= 105
So the sum of the facing page numbers is 105.
The only two adjacent numbers which add up to 105 are 52 and 53, so the facing page numbers must be 52 and 53.
Answer:
B. There is a slightly more even distribution in the numbers in Joan's Group than in Todd's Group. C. Only one number, 28, is the same between the two samples.
Step-by-step explanation:Your welcome loves :)
