Question 8 (4 points)
Find all missing angles.
25°
50
2
1
42°
mZ1 =
mZ2 =
mZ3 =
Answers
angle 2=42
angle 3=113
The measures of unknown angles are, m∠2 is 42°, m∠1 = 88° and
m∠3 = 113°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know vertically opposite angles are of equal measure.
∴ m∠2 is 42°.
We know the sum of all the interior angles in a triangle is 180°.
∴ m∠1 = 180° - 50° - 42°.
m∠1 = 88°.
m∠3 = 180° - 42° - 25°.
m∠3 = 113°.
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Related Questions
help please I will give brainiest
Answers
If not I’m sorry
Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets
and collected $610. Which system represents the number of adult and child tickets that Thomas sold?
O x+y=200
5x+2y= 610
o
X+y=610
5x+2y= 200
O x=
X+ y = 200
x+2y=610
O x+y= 200
5x+y=610
Answers
Answer:
I believe the answer is A
Step-by-step explanation:
on edge
The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.
So equaiton models as,
x + y = 210
5x + 2y = 610
Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.
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1. Solve 6(x - 2) = 2(x + 12).
Answers
Answer:ok so. X= 9.
Step-by-step explanation: Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near ").".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*(x-2)-(2*(x+12))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(6 • (x - 2)) - 2 • (x + 12) = 0
STEP
2
:
Equation at the end of step 2
6 • (x - 2) - 2 • (x + 12) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
4x - 36 = 4 • (x - 9)
Equation at the end of step
4
:
4 • (x - 9) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
One solution was found :
x = 9
here you go
Answer:
6x-12=2x+24
combine like terms
4x-12=24
add 12 on both sides
4x=36
divide by 4
answer is:x=9
Step-by-step explanation:
Find the slope between the points: (3,4) and (-1,-2)
Answers
Answer:
3/2 hope this helps hqhahjajja
The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer
PLEASE HELP
Answers
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 kmIn order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.
Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful
Answers
Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.
A you tube plugg in: please check : (
If you could please check out our you tube channel, Evimero Academy
Thank you so much and have a wonderful day
Which expression is equivalent to 2x^2 - 2x + 7?
Answers
Answer:
(o,7) vertical intercept
minimum (1/2 , 13/2)
What is the value of the expression 10 25 32 64
Answers
Answer:
its 10
Step-by-step explanation:
2x5=10 or 2+2+2+2+2=10
Answer:
it is 32
Step-by-step explanation:
2x2x2x2x2=32
find the slope of the following 2 points (2,-5), (9,3)
Answers
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
Determine whether the following graph represents a function
Answers
Yes because it has only one y intercept
Step-by-step explanation:
Anything that has more than one y intercept isn't function.
Answer:
Yes
Step-by-step explanation:
the function doesnt go straight up, you cant have the same x coordinate, it doesnt work out
what is the slope for (-11, 1) and (-2, 6)?
Answers
Answer:
5/9
Step-by-step explanation:
You can verify me by using the y2-y1/x2-x1 formula
Please help! I am so bad at math!
Answers
Answer:
PR=12
Step-by-step explanation:
2x+6=3x-6
6=x-6
12=x
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18
Answers
Answer:
x = 7
Step-by-step explanation:
QY = 5x
YZ = 18
QZ = 53
Thus:
QY + YZ = QZ (segment addition postulate)
5x + 18 = 53
5x = 53 - 18 (subtraction property of equality)
5x = 35
Divide both sides by 5
x = 7
Given the numbers: 6 6 7 7 7 8 8 8 8 9 and
choosing a number at random from the list, what is
the probability that the number is 8?
Answers
Answer:
[tex]\frac{4}{10} =\frac{2}{5}[/tex]
Step-by-step explanation:
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answers
Answer:
tip would be $3.50
Step-by-step explanation:
10% + 5% = 15%
10% of 23.25 is 2.33
5% of 2.33 is 1.17
add 2.33 and 1.17 to get 3.50
Answer:
I would do the question like
10% + 5% = 15% which would equal 3.50
Hope this helped (please mark brainliest)
Ms. Guthrie spent 80% of her cash on gifts.
What fraction of her cash did she spend on gifts?
She spent type your answer...
of her cash on gift.
Answers
Answer:
She spend (8/10) or (4/5) of her cash on gift.
Step-by-step explanation:
4/5 is simplified.
but not simplified its 8/10
HELP PLEASEEE. Write in slope intercept form
5x - 3y = -9
a. y = 5/3x - 3
b. y = 3/5x + 3
c. y = 5/3x + 9
d. y = 5/3x +3
Answers
Answer:
d
Step-by-step explanation:
i think it D im not tooo sure
Please help me I need the answer for this question. correct one please
Answers
thus ,
x + 50 degree + 55 degree = 180 degree
x = 75 degree
can yall do the work of the answer 95 to this
Answers
9514 1404 393
Answer:
? = 95°
Step-by-step explanation:
Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.
arc QR + arc RS + ? = 360°
190° +75° +? = 360°
? = 360° -265° . . . . . . subtract 265° from both sides
? = 95°
The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?
Answers
Answer:
Step-by-step explanation:
50 points.
Record the simplified expression
Answers
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?
Answers
Answer:
-360
Step-by-step explanation:
I got it right
Mrs.Jones sells houses. She gets a 7% commission on all sales. How much commission would she earn on a house that sells for $200000?
Answers
Answer:
The commission Mrs.Jones gets is 14000 dollars
Answer:
$14,000
Step-by-step explanation:
First, convert the percentage to a decimal and get 0.07. Multiply this by 200,000 and get 14,000. So 7% of 200,000 is 14,000.
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answers
Answer:
yes
Step-by-step explanation:
I think this is true. I haven’t done this in a few years.
A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?
Answers
Answer:
8 nickels=.40
15 dimes=1.50
The number of dimes is 15 and the number of nickels is 8.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.
Let d be the number of dimes and n be the number of nickels. Then the equation is given as,
d + n = 23 ...1
0.1d + 0.05n = 1.90 ...2
From equations 1 and 2, then we have
0.1(23 - n) + 0.05n = 1.90
2.3 - 0.1n + 0.05n = 1.9
0.05n = 0.4
n = 8
Then the number of dimes is given as,
d + 8 = 23
d = 23 - 8
d = 15
The number of dimes is 15 and the number of nickels is 8.
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Explain how you know when 2 ratios are proportional.
Answers
Answer:
Ratios are proportional when they represent the same relationship.
Step-by-step explanation:
Such as: finding equivalent fractions
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation
One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !
HELPP ASAPPPPP
Evaluate ym if y=5 and m=4
Answers
Answer:
20
Step-by-step explanation:
ym
If y=5 and m= 4, then plug in both values and multiply 5 x 4. This equals to 20.
the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help
Answers
Answer:
115x=y
Step-by-step explanation:
PLZZ HELPP IM FAILLING THIS CLASS
Answers
Answer:
cups
0.14 and 0.098
plates
0.1375 and 0.144
silverware
0.047 and 0.129
Total:
30.25
Step-by-step explanation:
5.60/40 and 4.90/50
40 count and 50 count
cups
0.14 and 0.098
2.75/20 and 3.60/25
plates
0.1375 and 0.144
9.85/210 and 12.90/100
silverware
0.047 and 0.129
Total:
(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)
=30.2475
round
30.25
Answer:
The answer to your question is 30.25
Step-by-step explanation:
Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D
Integrate the following:
[tex]\displaystyle \int \frac{x^2}{x^2+x+3}\, dx[/tex]
Answers
Answer:
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx = - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Completing the SquareRearranging VariablesAlgebra II
Long DivisionCalculus
U-Substitution[Integration Trick 1] Numerator Split[Integration Trick 2] Completing the SquareIntegration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Rule 2: [tex]\int {f(x)+g(x)} \, dx =\int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Integration 1: [tex]\int {\frac{1}{u} } \, du =ln|u| + C[/tex]Integration 2: [tex]\int {\frac{du}{u^2+a^2} } = \frac{1}{a} arctan(\frac{u}{a} )+C[/tex]Integration 3: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} +C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx[/tex]
Step 2: Simplify Function
We do long division to simplify the function inside the function.
See Attachment for Long Division Work.
Once we do long division, our function becomes [tex]1-\frac{x+3}{x^2+x+3}[/tex]
Now we rewrite our Integral: [tex]\int ({1-\frac{x+3}{x^2+x+3} }) \, dx[/tex]
Step 3: Integrate Pt. 1
Distributive Integral [Int Rule 1]: [tex]\int {1} \, dx - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Integrate 1st Integral [Int 3]: [tex]x - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Step 4: Identify Variables Pt.1
Set variables for u-substitution.
u = x² + x + 3
du = (2x + 1)dx
Step 5: Integrate Pt. 2
Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} \int {\frac{2(x+3)}{x^2+x+3} } \, dx[/tex]Distribute 2 [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+6}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+1+5}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Int Trick 1]: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{x^2+x+3} } \, dx ][/tex](2nd Int) Complete the Square: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{(x+\frac{1}{2})^2 + \frac{11}{4} } } \, dx ][/tex]Step 6: Identify Variables Pt. 2
Set variables for u-substitution for 2nd integral.
z = x + 1/2
dz = dx
a = √(11/4)
Step 7: Integrate Pt. 3
[Integrate] U-Substitution: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + \int {\frac{5}{z^2 + (\sqrt{\frac{11}{4}})^2} } \, dz ][/tex]Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 1st Integral [Int 1]: [tex]x - \frac{1}{2} [ln|u| + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 2nd Integral [Int 2]: [tex]x - \frac{1}{2} [ln|u| + 5(\frac{1}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ) ][/tex]Distribute 5 [Alg]: [tex]x - \frac{1}{2} [ln|u| + \frac{5}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ][/tex]Distribute -1/2 [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5}{2\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Rationalize [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5\sqrt{11} }{11}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Resubstitute variables [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{x+\frac{1}{2} }{\sqrt{\frac{11}{4} } } )[/tex]Simplify/Rationalize [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} )[/tex]Rewrite [Alg]: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x[/tex]Integration Constant: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]And we have our final answer! Hope this helped you on your Calculus Journey!
hope this will help you........
