Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
Answer:
The area of the shape is
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.

Answer:
Federalists wanted a
centralized banking
system and Alexander
Hamilton, as Secretary of
the Treasury, proposed a
national bank in 1789.
• Antifederalists, like
Thomas Jefferson,
opposed this plan.
– They favored a
decentralized banking
system in which states
established and
regulated banks within
their borders.
Step-by-step explanation:
Answer:
7%*12=6%(12+x)
.84=.72+.06x
.06x=.12
x=2
how much water should be added to 12 mL of 7% alcohol to reduce concentration to 6%? 2 ML
Step-by-step explanation:
Answer:
This test batch can be chosen in 2380 ways
Step-by-step explanation:
The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can this test batch be chosen?
4 batteries from a set of 17. So

This test batch can be chosen in 2380 ways