Answer:
y = 27°z = 98°Step-by-step explanation:
The interior angle marked 5y is the supplement of the adjacent exterior angle marked 45°.
5y + 45° = 180°
5y = 135° . . . . . . . . subtract 45
y = 27° . . . . . . . . divide by 5
__
The sum of the interior angles of a pentagon is (5-2)(180°) = 540°.
90° +5y +z +82° +135° = 540°
Using y=27°, we can subtract 442° from both sides to get ...
z = 98°
_____
Additional comment
You might recognize that the downward-sloping diagonal sides of the figure are parallel, so z and 82° are consecutive interior angles, hence supplementary. This fact means you don't have to be concerned with the other three angles in the figure to find the value of z: 180° -82° = 98°.
12−x2y if x=−7 and y=2
Answer:
the answer is 16 im pretty sure
This plan or an apartment
What is the perimeter of the bathroom?
p
all
Each red square 1 metre
im
Answer:
12m perimeter
Step-by-step explanation:
all side are 3m so 3x4 = 12m
its accounting please help me
9514 1404 393
Answer:
1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B
2: 4,000 composite units
Step-by-step explanation:
We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.
1)A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:
A: 72 -40 = 32
B: 48 -28 = 20
composite unit: 2A+B = 2(32) +20 = 84
(a) The contribution margin per composite unit is $84.
__
(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:
84n = 1260000
n = 1260000/84 = 15000
30,000 units of A and 15,000 units of B must be sold to break even.
__
(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...
294,000/84 = 3500
37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.
__
2)Contribution margins per unit are ...
H: 6 -4 = 2
C: 8 -6 = 2
I: 10 -7 = 3
A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...
3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars
The break-even point is 52,000/13 = 4,000 composite units
Natalie and eight of her friends went out
to eat. They decided to split the bill
evenly. Each person paid $15. What was
the total bill?
The total bill was $135
Natalie AND her eight friends went to eat so there are 9 people.
Since each person paid $15, you can write this equation.
15 x 9 = 135
Evaluate the expression.
please mark this answer as brainlist
Help please 6th grade math
Answer:
You would just plot it on the 1
the absolute value of positive 1=1
Help me please help me help please
Answer:
[tex] \frac{9 - 15}{2 - 0} = \frac{3 - 9}{4 - 2} = - \frac{6}{2} = - 3[/tex]
Help me plz o don’t know what to write and how to plz help me
9514 1404 393
Explanation:
Anything is categorized by how it matches with the definition of the category.
A composite number is a product of primes. A prime number is divisible only by itself and 1.
If a number has more than one prime factor (even if that is just multiple instances of the same prime factor), it goes into the composite number category. If its only prime factor is itself, it goes into the prime number category.
HELP A CHICKEN NUGGET OUT!
What is the value of x−9? 14x−(x+2)=−14 Enter your answer in the box. x−9=
Answer:
You are chicken nugget
Step-by-step explanation:
Hhahahah
Anna spends one- fifth of her monthly paycheck on books. If she spends $50 per month,what is her monthly paycheck
Answer:
$250
Step-by-step explanation:
Reverse division is multiplication. So one fifth of 50 is ?/5=50. Now reverse this to 50*5=?. This should come out to 250, because you can leave off the zero, and do 5*5, which equals 25, and add the zero back in you get 250. So your answer is $250.
which equation does not belong with the other three A. y=-5x-1 B.2x-y=8 C. y=x+4 D. y= -3x+13
Answer:B
Step-by-step explanation:
All other equations solve for Y
Find the value of x in each case:
Answer:
Sorry i don't know but i need these points *Lol* i am honest
Step-by-step explanation:
How to give a fraction of an hour
Answer:
An hour is 60/1
Step-by-step explanation:
Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = -4x - 3
O-4
O-3
03
04
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Answer:
(b) -3
Step-by-step explanation:
The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.
y = -4(0) -3 . . . . substitute x=0
y = 0 -3
y = -3 . . . . the "initial value"
Convert 14 3/5% to a fraction in lowest terms.
Answer:
13l4 3/5%
Step-by-step explanation:
ithink that is the answer
What is 1 plus 1 in active numbers
x/3 - 13= 9
Plz help its very confusing
Answer:
x = 66
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \frac{x}{3} - 13 = 9 \\ \\ \frac{x}{3} = 9 + 13 \\ \\ \frac{x}{3} = 22 \\ x = 22 \times 3 \\ x = 66. answer. [/tex]
The domain is…
(type in interval notation)
the range is …
(type in interval notation)
Brenda won 92 lollipops playing hoops at
the county fair. At school she gave four to
every student in her math class. She only
has 8 remaining. How many students are
in her class?
Answer:
21 students were given 4 lolipops
Step-by-step explanation:
For the summer reading club, Xavier is required to read 2 books every week.
What line represents this requirement?
Line a
Line b
Line c
Line d
Answer:
line c
Step-by-step explanation:
a simple graph of one week equals two books or a slope of 2
Use the midpoint formula to find the midpoint of (4, -2) and (6, 10)
Answer:
the mid point in x axis is half of 6-4 which =1
the mid point in y axis is half of 10-(-2) which=6
hence he midpoint is (1,6)
Try It!
Suppose that Katie finished the race 0.13 second before Amy. What was Katie's
time in the race? Use an estimate to check that your answer is reasonable.
5. Write an equation in point-slope form for the line through the given point with the given slope.
Answer:
C. y+3= -1/4(x-8)
Step-by-step explanation:
The slope-intercept form:
m - slope
b - y-intercept
We have the slope
and point (8, -3). Substitute:
add 2 to both sides
Answer:
The point-slope form:
Substitute:
ANSWER: y+3= -1/4(x-8)
A robot can complete 7 tasks in 3/10
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answer:
a
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
GCF of [tex]x^{3} y^{5} z^{2} and x^{4}yz^{5}[/tex]
Answer:
[tex]x^{3} yz^{2}[/tex]
Step-by-step explanation:
During which phase were no faults introduced?
Step-by-step explanation:
phase 4 had no faults introduced
what is the answer of (-4uv²)
Answer: -4uv^2
Multiply 4 by -1
Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.
Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.
Answer:
i don't really know but can you explain more so I can understand how to do it
Find the degree of the monomial -1.57k^2
Answer:
2
Step-by-step explanation:
Degree of the monomial is the highest power in the monomial.
Highest power in the monomial - 1.57k^2 is 2.
So, the degree of the monomial - 1.57k^2 is 2.
Simplify the following expression:
4n − m + 3p + 2m − n − p
3n + m + 2p
3n + 5m − 2p
5n + 3m + 4p
5n + m − p
Answer:
-3/y+3 +1/-2y
x-2>3
9(-10-10y)