Answer: 15 and one-half
Step-by-step explanation:
14/2 + 3(4) - (6.5 - 3)
Use PEMDAS
14/2 + 3(4) - 3.5
Use PEMDAS
7 + 12 - 3.5
Use PEMDAS
15.5
Answer:
you start counting from left to right
when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.
Step-by-step explanation:
for example for 4 :
1. we can choose two numbers next to each other like 1 and 1.1
2. subtract second from first like 1.1 - 1 = 0.1
3. 1.1 + 0.1 = 1.2
1.2 + 0.1 = 1.3
and ...
so the common difference is 0.1
Answer:
Part 1) The measure of arc EHL is 
Part 2) The measure of angle LVE is 
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
we have
substitute
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
Find the value of y
therefore
The measure of arc EHL is
The measure of arc EVL is 
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
we have
substitute
There are none. Absolute values are always positive
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
