Answer: Last option.
Step-by-step explanation:
Observe the figure attached.
In order to find the value of "b", you need to remember the definition of "Alternate interior angles". These are the pairs of angles located in the interior of the parallel lines and on opposite side of the transversal. They are congruent.
Based on this definition, you can conclude that the angle "b" and the angle that measures 128° are Alternate interior angles; therefore they are congruent.
This means that the value of "b" is:
Answer:
x= -10
Step-by-step explanation:
Go to when y=7 and then find what point hits it. you'll find (-10, 7) hits that point. If you're not sure where x is, follow the point down the line until you reach the x axis to see where it lands
Let the length of the rectangle is x. units , accordingly :
2.(x+3) = x×3.
2x + 6 = 3x.
x = 6 units is the answer :)
Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36 
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where 
represents length, 
represents width and 
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
Dividing both sides by 12.
∴ 
Thus, the height of the tent = 3 feet
Answer:
£6,000
Step-by-step explanation:
<u>Use the simple interest formula:</u>
I = Prt
I = (Principal Value)*(Annual Interest Rate)*(Time in Years)
I = (120000)(0.12)(5/12)
I = 6000
Therefore, the simple interest is £6,000
