Answer: 2w + 4 = 35
Step-by-step explanation:
Carl's two checked bags and his one backpack together weigh 35kg.
Carl's two checked bags have equal weight so both their weight can be denoted as 2w.
Equation is;
2w + 4 = 35
If you were to solve;
2w + 4 = 35
2w = 35 - 4
w = 31/2
w = 15.5kg
x = 58°
<u>Explanation:</u>
According to the diagram, lines HI and JK are parallel to each other.
∠AHI = 60°
∠JKI = 62°
∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.
So,
∠JKI = ∠HIA = 62°
In ΔHIA,
∠AHI + ∠HIA + ∠IAH = 180°
60° + 62°+ x = 180°
122° + x = 180°
x = 180° - 122°
x = 58°
Answer:
if i'm right ted is 14 and ed is 21
Step-by-step explanation:
if ed is 7 years older than ted and is 3/2 times eds age, than we have to find out how much dose 2 represent in the equation 3/2 so we know that ed is seven years older than ted. so that means that if the equation 3/2 was 1/2, 1 would represent 7 years. (i hope your following me) so if 1 represents 7 than 2 must represent 14 and that would be the age of ted because in the equation 3/2 the 2 would represent teds age. and if the 2 represents teds age than 3 would be eds age. so 7 x 3 = 21. (this is my first time answering a question so sorry if i'm confusing)
To build the table you just have to give values to t and then calculate the corresponding c a per the model.
If the model is c = 5.5 t this is the table
t c
5.5 t
0 5.5(0) = 0
1 5.5(1) = 5.5
2 5.5(2) = 11.0
3 5.5(3) = 16.5
4 5.5(4) = 22.0
5 5.5(5) = 27.5
The viables solutions are all where t is equal or greater than 0. You can even use decimal values for t. You cannot use negative values for t.
Answer:
option D. 126 cm
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles PQR and XYZ are similar by AA Similarity Theorem
so

Let
z ---> the scale factor

substitute the given values

step 2
Find the perimeter of triangle XYZ
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
p_1 ----> the perimeter of triangle XYZ
p_2 ---> the perimeter of triangle PQR
so

The perimeter of triangle PQR is

we have

substitute


therefore
The perimeter of triangle XYZ is 126 cm