Answer:
m∠7 = 63 degrees
m∠8 = 117 degrees
m∠9 = 63 degrees
Step-by-step explanation:
When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles
- The vertically opposite angles are equal in measures
- The linear angles have a sum of 180°
In the given figure
∵ There are two lines intersected at a point
∴ The angle of measure 117° and ∠8 are vertically opposite angles
∴ ∠7 and ∠9 are vertically opposite angles
∴ The angle of measure 117° and ∠7 are linear angles
∵ The vertically opposite angles are equal in measures
∴ The angle of measure 117° and ∠8 are equal in measures
∴ m∠8 = 117°
∵ The sum of the measures of the linear angles is 180°
∴ m∠7 + 117° = 180°
→ Subtract 118 from both sides
∵ m∠7 + 117 - 117 = 180 - 117
∴ m∠7 = 63°
∵ m∠7 = m∠9 ⇒ proved up
∴ m∠9 = 63°
The degree of a polynomial is the largest exponent on the variable.
For the given problem there is only one term with an exponent: 5x^2.
The exponent is 2, so the degree would be 2.
Answer:
, where n is a natural number.
Step-by-step explanation:
A series can be represented in a summation or sigma notation.
Greek capital letter, ∑ (sigma), is used to represent the sum.
For example:
, where n is a natural number.
The given series : 1,4,9,16 which can be written as
.
So , we can write it as
, where n is a natural number.
Answer:
1, 120
Step-by-step explanation:
3.2 x 107 = 342.4
+ 7.2 x 108 = 777.6
_____________________
1, 120
Remark
Drawing that diagram was a very good idea. If you can picture something happening, you are half way there. I tend to use a table, but the diagram will come to the same thing.
Olivia Dawn
Start 176 80
<u>Donate x x Subtract</u>
What's left 176 - x 80 - x
Equation
176 - x = 5*(80 - x) Olivia had 5 times as many books as Dawn did. Remove the brackets.
Solution
176 - x = 400 - 5x Add 5x to both sides
176 + 5x - x = 400 Combine terms on the left
176 + 4x = 400 Subtract 176 from both sides
4x = 400 - 176 Combine terms on the right.
4x = 224 Divide by 4
x = 224/4
x = 56 Answer