Determine x,y, and z.
80°
100°
55°
60°
The measure ofx is
The measure of y is
The measure of z is
Answers
Answer:
Step-by-step explanation:
You can get y and x immediately. z is a bit tricky.
x
The other two angles of a triangle containing x are 100 and 60.
x + 100 + 60 = 180 Add the two terms on the left
x + 160 = 180 Subtract 160 from 180
x = 180 - 160 Combine the right
x = 20
y
y is done exactly the same way.
55 + 80 + y = 180
135 + y = 180
y = 180 - 135
y = 45
z
You have x y and z all in the same triangle. You know x and y so z can be found in much the same way.
x + y + z = 180
20 + 45 + z = 180
65 + z = 180
z = 180 - 65
z = 115
Answer: x = 20
y = 45
z = 115
Step-by-step explanation:
There is one unknown variable in both triangles with known angles. To find the values of x, y, and z, add both the known angles and subract it from 180 degrees. The result will be the value of the variable. When you have both the values of x and y, do the same math to find the value of z.
Step 1: Find the value of x
Add the values of the two known angles in this traingle and subtract it from 180°
80 + 55 = 135
180 - 135 = 45
45° is the value of x
Step 2: Find the value of y
Add the values of the two known angles in this traingle and subtract it from 180°
100 + 60 = 160
180 - 160 = 20
20° is the value of y
Step 3: Find the values of z
Add the values of x and y and subtract it from 180°
45 + 20 = 65
180 - 65 = 115
115° is the value of z
Related Questions
1) Una fábrica necesita 10 horas de trabajo por persona para producir un ventilador (x) y 15 horas de trabajo por persona para producir un aparato de aire acondicionado (y). Si la fábrica produjo en conjunto 20 ventiladores y aparatos de aire acondicionado en el transcurso de 260 horas, ¿cuántos de estos productos fueron ventiladores? *
Answers
Answer:
20
Step-by-step explanation:
20x1
=20
10+10
=20
15+5
=20
Answer:
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Step-by-step explanation:
somebody help me answer these ik I'm not the smartest
Answers
Answer:
1. 3/5
2. 70/9
3. 12 3/5
Step-by-step explanation:
hope it helps
Answer:
reduce 18/30
divide both numerator and denominator by 6
3/5
change to improper 7 7/9
multiply 7*9=63
63+7=70
70/9
Change to mixed number 63/5
63/5=12 remainder 3
12 3/5
Jackson´s Bakery sold 102 ice cream cakes and 68 fruit tarts in one weekend. Ice cream cakes are $27 and fruit tarts are $15. How much did Jackson's Bakery make in one weekend
Answers
Answer:
$3, 774
Step-by-step explanation:
102 ice cream cakes, and 68 fruits tarts
One cream cake is $27 and a fruit tart is $15
Meaning, from ice cream cakes, they made 102($27) = $2754
From fruits tarts, they made 68($15) = $1020
Write an equivalent expression to (-0.25x - 3) - (2.5x + 1.7) using the fewest possible terms.
Answers
Answer: -2.75*x - 4.7
Step-by-step explanation:
In the equation we have only one variable, this means that the minimum possible number of terms will be two, one term with x, and one term without x.
We can start with the equation:
(-0.25x - 3) - (2.5x + 1.7)
Now, let's rewrite this as:
-0.25x - 3 - 2.5x - 1.7
(-0.25*x - 2.5*x) + (-3 - 1.7)
Solving the parentheses we get:
-2.75*x - 4.7
That is the equivalent expression that has the fewest possible terms
i can't do this, can someone explain
Answers
Answer:
i think its m=4 too
Step-by-step explanation:
mhhhh
A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?
Answers
Answer:
y = -x + 9
Step-by-step explanation:
The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9
Give an example of a data set with an outlier. Describe how the outlier affects the mean, median, and mode of the data
Answers
Answer:
Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
Step-by-step explanation:
Hope it is helpful....
Name the following note!!
Answers
Answer:
Maybe this will help btw not math
Step-by-step explanation:
Stuck on my Trigonometry homework :(
Answers
Step-by-step explanation:
sin 23°/6cm = sin A/13cm
(sin 23°/6cm)×13cm= sin A
A= 60.35
I wish this will answer u, n im sorry if im wrong
Answer:
I think A= 60.35
Step-by-step explanation:
Hope this helped have an amazing day!
Marco spent $2.50 to wash his car.
If two quarters operate the car wash
for 60 seconds, how many minutes
did it take Marco to waslı his car?
Answer quickly please
Answers
What is the domain of f(x)=
10x1-(4)
?
Answers
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
Examine the diagram, and answer the question.
The points A(2,7)
and B(−4,−3)
are located in the coordinate plane as shown.
Points A and B are shown in the coordinate plane at the locations indicated.
© 2016 StrongMind. Created using GeoGebra.
What is the approximate distance between the two points?
15.6
7.3
6.7
11.7
Answers
9514 1404 393
Answer:
11.7
Step-by-step explanation:
GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.
__
The distance formula is used for this:
d = √((x1 -x1)² +(y2 -y1)²)
d = √((-4-2)² +(-3-7)²) = √(36 +100)
d = √136 ≈ 11.7
_____
Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.
(Sigma)20 4(8/9)^n-1=?
1
Answers
Convert to a simplified fraction.
20 amgiS ⋅ 9n / 2^2+3n − 9^n
Move 20 to the left of Sigma.
20 Sigma
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.
Answers
Answer: There are 57 quarters and 33 dimes.
Step-by-step explanation:
let x = Number of quarters
y= Number of dimes
As per given , we have
x+y = 90 (i)
0.25x+0.10y= 17.55 (ii)
Multiply 10 on both sides of (ii)
2.5x+y= 175.5 (iii)
Eliminate (i) from (iii) , we get
1.5x = 85.5
⇒ x= 57
Put value of x in (i) , we get
57+y=90
⇒ y= 90-57
⇒ y= 33
Hence, there are 57 quarters and 33 dimes.
I need help on this question
Answers
Answer:
7:8
Step-by-step explanation:
HELP ASAP!!!
The relation given by {(-6, 3), (-2, 4), (1, 5), (4,0)} is a function.
Which ordered pair can be included with this relation to form a new relation that is also
a function?
A. (1,-5)
B. (-2, 19)
C. (4,4)
D. (6,3)
Answers
because your in put is not the same as any of the other in puts
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answers
Hope this helps :)
please helppp
(literally posting my entire math lesson)
Answers
Answer:
B
Step-by-step explanation:
Point B is located 6.5 tenths left of -8.
Answer:
Point B
Step-by-step explanation:
If you count 5 steps backward from -8, you land in the direct middle of -9 and -8. You can also count 5 steps forward from -9, but it doesn't change that the number represented is -8.5. Now focus on the distance from -8.5 to -9 (because between that distance are the points that we might be using). You repeat the same process used above, so if you half the distance between -8.5 and -9 then you'll get -8.75. As we can see, Point A is the closest to -8.75 compared to Point B. It wouldn't make sense to choose Point B because as we mentioned before, Point A is now most certainly not -8.65. Point B represents that number the best.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?
Answers
4:10
To get the total students to 100, you must multiply 10 by 10. Therefore multiply 10x10 and 4x10
This gives a
40:100 ratio
That is how many said pizza is their favorite
To find how many did not, subtract 100-40 (total-part). This gives 60. That means 60 students didn’t say pizza is their favorite.
60
Hope this helps
what is the sum of
Answers
Answer:
C
Step-by-step explanation:
Find two numbers with sum 82 and difference 30.
Answers
Answer: I think it would be 112.
Step-by-step explanation:
-3x + 18 = 6
x = ___
show work please
Answers
Answer:
x=4
Step-by-step explanation:
-3x + 18 = 6
First, we have to get x alone. So, we have to subtract 18 from 6.
6 - 18 = -12
-3x = -12
-12/-3 = 4
x=4
solve the equation for x. What was the cost of each raffle ticket?
Answers
Answer:
im confused?
Step-by-step explanation:
solve the equation for x. What was the cost of each raffle ticket?
8) The midsegment of an equilateral triangle measures 6 yards. What is the perimeter of the equilateral
triangle?
A) 18 yards
B) 36 yards
C) 6 yards
D) 9 yards
Answers
A bakery made 140 buns. A restaurant bought 80 of the buns. The remaining buns were put into bags of 4 buns each. How many bags of buns
are there?
Answers
Answer:
A bakery made 140 buns. A restaurant bought 80 of the buns. The remaining buns were put into bags of 4 buns each. How many bags of buns
are there?
Answer:
30, 30 bags of buns your welcome
Please help!! Question is in the picture
Answers
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused
Answers
Answer:
...520 miles
Step-by-step explanation:
if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)
Determine if each ratios or rates are equivalent.
$12 for 3 paperback books, $28 for 7 paperback books.
Answers
Answer:
no these are not equivalent
Step-by-step explanation:
these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent
At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?
Answers
Answer:
24 buses.
Step-by-step explanation:
10 minutes equals 4 buses.
There is a total of 60 minutes, so 60 ÷ 10 = 6.
Then 4 × 6 = 24 buses.
A Census Bureau report on the income of Americans says that with 90% confidence the mean income of all US households in a recent year was $57,005 with a margin of error of $742. This means that
Answers
Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.
Step-by-step explanation:
No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.
This invalidates options a to c.
Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.