Answer:
look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.
given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°
now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°
Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180
aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°
Answer:
7x + 5.6z
Step-by-step explanation:
To simplify any expression we use PEMDA ( order of operation)
Parenthesis
Exponents
Multiplication and division
Addition and subtraction
7x + (5.6) z
Here we have 5.6 inside the parenthesis
We multiply 5.6 with z
so it becomes 5.6z
7x + 5.6 z
Both terms 7x and 5.6z have different variable so they are not like terms
We cannot combine unlike terms, so we leave as it is
7x + 5.6z
Answer:
algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation
Step-by-step explanation:
hope this helps
have an awesome day -TJ
To convert an improper fraction into a mixed number, you must find how many times the denominator fits into the numerator cleanly.
58/7
=8.385
It fits in 8 times.
8*7=56
58-56=2
There is a remainder of 2.
The Mixed number would be 8 2/7.
Hope this helps!
-Benjamin