Answer:
Step-by-step explanation:
we know that
In a parallelogram opposite sides are congruent
In this problem
we have that
AB and DC are opposite sides
AD and BC are opposite sides
so
AB=DC
AD=BC
step 1
Find the value of x
AB=DC
substitute the given values
solve for x
step 2
Find the length of AD
we have that
substitute the value of x
step 3
Find the length of BC
Remember that
AD=BC ----> by opposite sides
therefore
Physics: each of two or more atomic nuclei that have the same atomic number and the same mass number but different energy states.
chemistry: each of two or more compounds with the same formula but a different arrangement of atoms in the molecule and different properties.
Answer:x=100
Step-by-step explanation:
Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.
3x-11=289
+11 +11
----------------
3x = 300
Divide 3 on both sides to get x by itself
3x =300
---- -------
3 3
x=100
Answer:
Cost of 72 ounces of grapes is $13.5
Step-by-step explanation:
In order to solve his problem, we first need to get all the values in the same units.
1 pound = 16 ounces
∴ 6 pounds= 16×6 = 96 ounces
Now by unitary method, we solve the question as follows:
price of 96 ounces of grapes = $ 18
price of 1 ounce of grapes = $ (18÷96)
∴ price of 72 ounces of grapes = $ [(18÷96)×72]
= (0.1875×72) = $ 13.5
Angle a and b are supplementary angles which means that when added they equal 180.
so we must set our equation equal to 180.
8x+74+2x+56=180
which simplifies to 10x+130=180
then subtract 130 from both sides.
10x=50
x=5
So we plug in 5 to find the measure of b.
2(5)+56=b
10+56=b
66=b
the measure of angle b is 66 degrees
