Answer:
t=40
Step-by-step explanation:
The sum of all angles in a triangle will always equal 180°. This means that:
(2t-42)+(4t-49)+(2t-49) = 180°
Let's solve this equation!
(2t-42)+(4t-49)+(2t-49) = 180
First we simplify what's on the left side:
2t-42+4t-49+2t-49 = 180
2t+4t+2t-42-49-49 = 180
8t-140 = 180
*Add 140 to both sides
8t = 180+140
8t = 320
Divide both sides by 8 to know what t means:
t = 320/8
t = 40
Answer:
Step-by-step explanation:
Let
, a reflection over the x-axis consists in the following operation:

If we know that
and
, then the points translated over the x-axis are
and
, respectively. The most precise description of the shape is a rectangle for the following facts:
1)
and
.
2)
and
have the same x-component.
3)
and
have the same x-component.
4)
and
have the same y-component.
5)
and
have the same y-component.
A representation of the shape is included below as attachment.
Answer:
- max: 28.5 inches
- min: 27.5 inches
Step-by-step explanation:
If the actual dimension were different from 28 inches by more than 1/2 inch, it would be reported as a different dimension. So, the minimum that will be reported as 28 is 27.5. The maximum that will be reported as 28 will be 28.4999999.... ≈ 28.5
The maximum and minimum length of the sheet are 28.5 inches and 27.5 inches, respectively.
Add the total of both groups and divide by the total number in each group
Group X = 535 / 18 = 29.72 mean
group Y = 500 / 18 = 27.78 mean
Group X has the higher mean
Answer:
B
Step-by-step explanation: