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.
Orders: x
Inventory: y
1) First table
x2-x1=6-3→x2-x1=3
y2-y1=1920-1960→y2-y1=-40
x3-x2=9-6→x3-x2=3=x2-x1
y3-y2=1900-1920→y3-y2=-20 different to y2-y1=-40. The table does not represent a linear relationship.
2) Second table
x2-x1=7-5→x2-x1=2
y2-y1=1860-1900→y2-y1=-40
x3-x2=9-7→x3-x2=2=x2-x1
y3-y2=1820-1860→y3-y2=-40=y2-y1
x4-x3=11-9→x4-x3=2=x3-x2
y4-y3=1780-1820→y4-y3=-40=y3-y2
x5-x4=13-11→x5-x4=2=x4-x3
y5-y4=1740-1780→y5-y4=-40=y4-y3
The table represents a linear relationship.
3) Third table
x2-x1=2-1→x2-x1=1
y2-y1=1000-2000→y2-y1=-1000
x3-x2=3-2→x3-x2=1=x2-x1
y3-y2=500-1000→y3-y2=-500 different to y2-y1=-1000. The table does not represent a linear relationship.
4) Fourth table
x2-x1=6-4→x2-x1=2
y2-y1=1640-1840→y2-y1=-200
x3-x2=8-6→x3-x2=2=x2-x1
y3-y2=1360-1640→y3-y2=-280 different to y2-y1=-200. The table does not represent a linear relationship.
Answer: The second <span>table best represents a linear relationship.</span>
Answer:
The first histogram is the answer.
Step-by-step explanation:
Like any other questions, you can use the process of elimination to answer this question.
There are only one fruit that has a water content of 60 - 64 %
Right away you can eliminate the second answer choice.
There are two fruits that has a water content of 65 - 69 %
All the other three has the same thing
There are only two fruits that has a water content of 70 to 74 %
Right away answer choice three can be eliminated
There are 4 fruits that are 75 - 79 % full with water
Both has same thing
There are 9 friuts that are 80 - 84 % full with water
THERE ARE 2 FRUITS THAT CONTAIN 85 - 89 % water
THE ANSWER IS THE FIRST HISTOGRAM.
B. 12,000.
You can easily solve this problem by multiplying the number of calories they get by eating by the days.
So, 2,000 multiplied by 6 is 12,000.
Answer:
240
Step-by-step explanation:
Take 1/50 as an decimal and multiply it by 12000 pounds (6 tons
.02*12000=240
