Answer:
1. x = 54, y = 114,
missing angles => 66° and 114°
2. x = 42, y = 14,
Missing angles => 84°, 86°
3. x = 40, y = 50
Missing angles => 105°, 75°
Step-by-step explanation:
1. y° = 114° (corresponding angles are congruent)
(x + 12)° + y° = 180° (linear pair angles)
Substitute
x + 12 + 114 = 180
x + 126 = 180
Subtract 126 from each side
x = 180 - 126
x = 54
✔️Find the missing angles by plugging in the values of x and y in each case
(x + 12)° = 54 + 12 = 66°
y = 114°
2. ✔️Find x:
(2x)° + 96° = 180° (consecutive interior angles are supplementary)
Subtract 96 from each side
2x = 180 - 96
2x = 84
x = 84/2
x = 42
✔️Find y:
(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)
3y + 44 + 94 = 180
3y + 138 = 180
3y = 180 - 138
3y = 42
y = 42/3
y = 14
✔️Missing angles:
(2x)°
Plug in the value of x
= 2(42) = 84°
(3y + 44)°
Plug in the value of y
3(14) + 44 = 86°
3.
✔️Find x:
3x - 15 = 105 (corresponding angles are congruent)
3x = 105 + 15
3x = 120
x = 120/3
x = 40
✔️Find y:
(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)
Plug in the value of x to solve for y
3(40) - 15 + y + 25 = 180
120 - 15 + y + 25 = 180
Add like terms
130 + y = 180
y = 180 - 130
y = 50
✔️Missing angles:
(3x - 15)°
Plug in the value of x
3(40) - 15 = 105°
(y + 25)°
Plug in the value of y
50 + 25 = 75°
yesterday the temperature was 1 degree farenheit. today the temperature is 0 degree farhenheit. what is the change in tempeature from yesterday to today
Answer:
It is one degrees colder
How many solutions does the nonlinear system of equations graphed below have?
A) one
B) two
C) four
D) zero
Answer:
zero
Step-by-step explanation:
The solution set to the systems of equations is where the two graphs intersect
The two graphs do not intersect, so there are no solutions
Answer:
zero
Step-by-step explanation:
yep its right
What is the slope of the line that passes through (-4,5) and (2,-3)
Answer:
solution,
(X1,y1)= (-4,5)
(X2,Y2)=(2,-3)
slope of the line(m)= y2-y1/x2-x1
=-3-5/2-(-4)
=-8/6
=-4/3
AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
4.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0
A. 2.65, 3
B. 2, –4
C. 2, –10
D. –52, 44
Answer:
x = 2, -4
Step-by-step explanation:
4x^2 + 8x – 32 = 0
Divide by 4
x^2 + 2x – 8 = 0
Add 8 to each side
x^2 + 2x = 8
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2=1
Add it to each side
x^2+2x+1 = 8+1
(x+1)^2 = 9
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(9)
x+1 = ±3
Subtract 1 from each side
x = -1±3
x = -1+3, -1-3
x = 2, -4
Answer:
B
Step-by-step explanation:
Given
4x² + 8x - 32 = 0 ( divide through by 4 )
x² + 2x - 8 = 0 ( add 8 to both sides )
x² + 2x = 8
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(1)x + 1 = 8 + 1
(x + 1)² = 9 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )
x = - 1 ± 3
Then
x = - 1 + 3 = 2
x = - 1 - 3 = - 4
how long will the sum of Rs 5,000 take to reach the amount RS 8750 at the rate of 15% per annum
Answer:
It will take 5 yrs the sum of 5000 will take to reach Rs 8750 at the rate 15%
Step-by-step explanation:
T= ?
Amount = Rs 8750
R = 15%
P = Rs 5000
so
I = A-P
= 8750 - 5000
= Rs 3750
so
I = PTR/100
3750 = (5000*15*T)/100
or, 375000 = 75000*T
or, T = 375000/75000
so T = 5 yrs
What is the length of segment AB?
Answer:
-1
Step-by-step explanation:
then the sum of the line come home x axis
-4+3=-1
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). What is the valid UPC? *)
A) 3-25866-53590-5
B) 3-25866-53590-0
C) 1-25866-53590-0
D) 5-35900-32586-6
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.
It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.
the last digit is used to check the integrity of the UPC and is known as a check digit.A specific algorithm based on the odd and even number of the previous 11 digits determines the last number, which is used to confirm the validity or integrity of the UPC.A UPC can be validated with a manual calculation:
Given :
UPC = 3-25866-53590-5/0
=> Step 1: Add the digits at odd positions.
3 + 5 + 6 +5 + 5 + 0 = 24
=> Step 2: Multiply the number obtained in steps 1 by 3.
24*3 = 72
=> Step 3: The digits at even positions have to be added except check digit
2 + 8 + 6 +3 +9 = 28
=> Step 4: Add the numbers obtained in Step 2 and step 3.
72+ 28 = 100
=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.
Here 100 will be subtracted from 110.
110 - 100 = 10
the last digit will be 0,
Thus, the correct option is B. 3-25866-53590-0.
Learn more about:
https://brainly.com/question/12538564
In an IQ test, 4 marks are given for every correct answer and 2 marks are deducted for every wrong answer. If Crystal answered 30 questions and scored 84 marks, how many of her answer were correct?
What is the value of x in the equation 3x - y = 18, when y = 27?
Answer:
Substitute in the y-value to the equation:
[tex]3x-y=18\\\\3x-27=18\\\\3x=18+27\\\\3x=45\\\\x=15[/tex]
Therefore, the value of x is 15.
Answer:
x=15
Step-by-step explanation:
3x - y = 18
Let y= 27
3x - 27 = 18
Add 27 to each side
3x-27+27 = 18+27
3x= 45
Divide each side by 3
3x/3 = 45/3
x = 15
At an amusement park, the straight water slide is 42 m long and drops 20 m. What angle does the slide make with the horizontal?
Answer:
28.4 degrees
Step-by-step explanation:
sin(theta) = 20/42. theta=arcsin(10/21)=28.43
The chart shows pricing and payment options for two big-ticket items.
If someone were unable to pay cash right now, which financing option would be best for the laptop and for the refrigerator?
a. rent-to-own; installment
b. installment; rent-to-own
c. rent-to-own; rent-to-own
d. save up and pay cash
Answer:its C rent-to-own ; rent-to-own
Step-by-step explanation:
I got a 100 on my test
PLS HELP ME ON THIS QUESGTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range
Answer:
D. Range
Step-by-step explanation:
The definition of range is as the question says, and we can also use the process of elimination to make sure it's not the others.
A mean is the average of a data set.
A mode is the item that appears the most times.
And a median is the middle number.
As you can see, A, B, C all don't fit the given statement in the question, so it is D. Range.
I hope this helped! :D
using trig to solve for missing angle
Answer:
30.7
Step-by-step explanation:
Recall: SOH CAH TOA
We are to solve for the missing side
First, label the sides:
Reference angle (θ) = 61°
x = Opposite (this is opposite to the reference angle)
17 = Adjacent
Hypotenuse = side opposite to right angle
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 61° = x/17
17*Tan 61° = x
30.6688118 = x
x ≈ 30.7 (approximated to nearest tenth)
Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 36% end up investing in both stocks and bonds. What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
Answer:
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Step-by-step explanation:
This question is solved treating these probabilities as Venn events.
I am going to say that:
Event A: Person invests in stocks.
Event B: Person invests in bonds.
65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks
This means that [tex]P(A) = 0.65[/tex]
38% end up investing in bonds
This means that [tex]P(B) = 0.38[/tex]
36% end up investing in both stocks and bonds.
This means that [tex]P(A \cap B) = 0.36[/tex]
What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
This is [tex]P(A \cup B)[/tex], given by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we have for this problem:
[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
13. What is x in the diagram?
Answer:
x = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so
x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )
x = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{3}[/tex] = 6[tex]\sqrt{3}[/tex]
Plz help.....I’ll give you brainly
Find the sum or difference. 1 1 34 1-5 a. -122 + 42 b. -0.35 - (-0.25)
Answer:
11341-5=11336
-122+42=-80, when you have different signs always keep in mind that you have to subtract and then get the sign of the big number.
for the third one you firstly have to work with the two negative signs,you have to multiply them, take note that when you multiply a negative by a negative you get a positive, a positive by a positive you get a positive and a negative by a positive you get a negative.
-0.35-(-0.25)
-0.35+0.25
=-0.1
I hope this helps
Choose the correct simplification of the expression −5x2(4x − 6x2 − 3)
Answer:
- 190
Step-by-step explanation:
-10x (4x - 12 - 3)
-40x - 120x - 30x
- 190
Answer:
-20x³ + 30x^4 + 15x²
Step-by-step explanation:
−5x²(4x − 6x² − 3)
-20x³ + 30x^4 + 15x²
What is the simplified form of V 100x35 ?
Answer:
answer is 3500.
answer is 3500
answer is 3500
a lone segment has ______ endpoints.
1) three
2)two
3)zero
4)one
Answer:
2) twoStep-by-step explanation:
A line segment forms when it has two end points
Answer:
Two
Step-by-step explanation:
A segment has two endpoints, since it is not connected to anything. Hopefully this image can help you understand the types of lines there are in mathematics.
Hope this helped.
Find the midpoint of AC.
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
look at image above question and answers
Answer:
Step-by-step explanation:
Let's try all of them one by one.
Our equation is 4x + 2y + 3 = 19.
A:
20 + 6 + 3 = 19
Not quite!
B:
16 + 10 + 3 = 19
Still not it!
C:
12 + 4 + 3 = 19
We got it!
But still, we check D.
8 + 10 + 3 = 21
Nope.
C (or the 3rd option) is our answer.
I hope this helped.
A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³
Answer:
[tex](2x-3)^{3}[/tex]
Step-by-step explanation:
2x * 2x * 2x would get the 8x^3
the -3 * -3 * -3 would get the -27
if you do all the other multiplications -36x^2 and 54 X would result
Is it True or false ?? Explain .
Answer:
False
Step-by-step explanation:
The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.
Answer:
False
Step-by-step explanation:
(X+y)^2 = x^2 + 2xy + y^2
First you expand and then distribute
The rule is:
(a+b) ^2 = a^2 + 2ab + b^2
Answered by Gauthmath
What is 164.362 rounded to 4, 3 and 1 significant figures
Answer:
4 sigfig is 164.4
3 sigfig is 164.
1 sigfig is 200
hope that answers your question
comment for more explanation
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
[tex]\sqrt{x^2 +7x+1} =2x+1[/tex]
Geometry, please answer question ASAP
Answer:
C.
Step-by-step explanation:
A concave polygon must have atleast an internal angle which is greater than other angles.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
Twice a number decreased by 39 is five times the sum of the
number and 2 times the number. Find the number.
Answer: x=-3
Step-by-step explanation:
2(x)-39=5(x+2x)
2x-39=5(3x)
2x-39=15x
-39=13x
-39/13=-3
a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours
Step-by-step explanation:
The answer is mentioned above.
Hope it helps.