$19/1.05= $18.095 rounds to $18.10
The sale tax on the item is $0.90
Answer:
V lies in the exterior of <STU.
Step-by-step explanation:
V lies in the exterior of <STU.
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A
so
That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so
The perimeter of the hexagon is given by the formula
substitute
The values of angles are 140 and 20
• In plane geometry, a figure which is formed by joining of two lines that share a common point is called as the angle. The two lines or rays are called as the sides of the angle and the common point is called the vertex.
• In geometry there are types of angles such as complementary angles, supplementary angles, acute angle, obtuse angles. Complementary angles are the angles whose sum is equal to 90. Supplementary angles are the angles whose sum is equal to 180.
According to the question
We are given that one angle is -7x and the other angle is -2x
Using formula of supplementary angles
-7x + (-2x) = 180
-7x -2x = 180
-9x = 180
-x = 20
x = -20
The value of x is -20
The value of angle – 7x = -7(-20) = 140
The value of angle -2x = -2(-20) = 40
Learn more about angles here
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(9-4) + 3•8 = 29
Explanation
First you need to apply the PEMDAS rule
Parentheses
Exponents
Multiplication
Division
Addition
Subtract
So when solving the problem you first have to solve what’s in Parentheses first. So (9-4) which would equal 5
Next, according to the PEMDAS rule you’d have to do multiplication next. So 3•8 is equal to 24
And finally, the last step is Addition. After you’ve done the Parentheses and Multiplication you have to add up your answers. 5+24 would be 29
Answer= 29
