Answer:
The height is 5ft
Step-by-step explanation:
We know the area is 30ft^2 and the base is 12 ft.
Plug that information in the formula for the area of a triangle,
Formula for area of a triangle:
A = (1/2)bh (area is one half of the product of the base and height)
The question gives us A = 30, and b = 12. We can plug them in and find h
30 = (1/2)(12)h
Now solve for h
30 = 6h (1/2)(12) means '12 times one half' or 'half of 12' which is 6
5 = h (30 divided by 6 is equal to 5)
Answer:
2.6Kg
Step-by-step explanation:
Let the weight of apples be x and that of pears be y .
The farmer sold 7.1 kg of apples and pears .
4.5 of the 7.1kg is apples
That’s
x + y = 7.1kg
4.5kg + y = 7.1kg
Subtract 4.5kg from both sides
4.5kg - 4.5kg + y = 7.1kg - 4.5kg
y = 2.6 kg
The farmer sold 2.6kg of pears at the market
Answer: C=4
Step-by-step explanation:
5(5c-1)-1 = 23c + 6
1. Using PEMDAS. You know to do parenthesis first which is 5(5c-1)
Using distributive property you will get 25c-1-1 = 23c + 6
2. Simply on both sides and get 25c-2=23c+6
3. Using the rule that whatever you do on one side of the equal sign, you do on the other you can subtract 23c from both sides and get 2c-2=6. Then add 2 on both sides and get 2c=8
4. Divide both sides by 2 to get rid of the 2 and you get c=4
Answer:
Step-by-step explanation:
1. Corresponding Angles
<1 and <5
<2 and <6
<3 and <7
<4 and <8
They are equal in measure because corresponding angles are always equal to each other which means that they are congruent.
2. Alternate Interior Angles
<3 and <6
<4 and <5
They are always equal to each other because alternate interior angles are always congruent.
3. They are alternate exterior angles which means that the angles are always congruent.
4. <8 will be 73 degrees which is the same as <4 because they are corresponding angles and they are always congruent.
5. Angle 6 will be 107 degrees because they are alternate interior angles and they are always congruent.
