3. If m angle 2=98°, m angle 3=23°, and m angle 8=70°, find each measure. 4. If m angle 3=54°, find each measure.
Answers
Answer:
Step-by-step explanation:
3). m∠1 = 180° - 98° = 82°
m∠7 = 180° - ( 98° + 23° ) = 59°
m∠6 = 180° - ( 70° + 59° ) = 51°
m∠9 = m∠6 = 51°
m∠10 = 180° - 51° = 129°
m∠4 = 180° - ( 70° + 51° ) = 59°
m∠54 = 180° - (23° + 59° ) = 98°
4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°
m∠2 = m∠5 = 90°
m∠6 = m∠3 = m∠8 = m∠10 = 54°
m∠7 = m∠9 = 90° + 36° = 126°
m∠12 = m∠14 = 180° - 36° = 144°
The measure of an an angle can be found from other known angles and the angular relationships present
The measures of the angles are;
3. a. m∠1 = 82°, [tex]{}[/tex] b. m∠4 = 59°, c. m∠5 = 98°, d. m∠6 = 51°, e. m∠7 = 59°, [tex]{}[/tex] f. m∠9 = 51°
4. a. m∠1 = 36°, [tex]{}[/tex] b. m∠2 = 90°, c. m∠4 = 36°, d. m∠5 = 90°, e. m∠6 = 54°, [tex]{}[/tex] f. m∠7 = 126°, g. m∠8 = 54°, h. m∠9 = 126°, i. m∠10 = 54°, [tex]{}[/tex] j. m∠11 = 36°, k. m∠12 = 144°, l. m∠13 = 36°, m. m∠14 = 144°
The reason the above values are correct are as follows;
The known parameters are;
m∠2 = 98°
m∠3 = 23°
m∠8 = 70°
a. m∠1 and m∠2 are linear pair angles
Therefore;
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180° - 98° = 82°
m∠1 = 82°
b. m∠4 = m∠7 = 180° - m∠2 - m∠3
∴ m∠4 = 180° - 98° - 23° = 59°
m∠4 = 59°
c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)
∴ m∠5 = 180° - 23° - 59° = 98°
m∠5 = 98°
Also m∠2 = m∠5 (corresponding angles)
d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)
∴ m∠6 = 180° - 59° - 70° = 51°
m∠6 = 51°
e. m∠7 = m∠4 = 59° (alternate interior angles theorem)
f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)
∴ m∠9 = 180° - 59° - 70° = 51°
m∠9 = 51°
Also, m∠9 = m∠6 = 51° (corresponding angles)
4. m∠3 = 54° (given)
a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)
m∠1 = 36°
b. m∠2 = 90° (given, geometry symbol)
c. m∠4 = m∠1 = 36° (vertical angles)
m∠4 = 36°
d. m∠5 = m∠2 = 90° (vertical angles)
m∠5 = 90°
e. m∠6 = m∠3 = 54° (vertical angles)
m∠6 = 54°
f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)
m∠7 = 36° + 90° = 126°
m∠7 = 126°
g. m∠8 = 180° - m∠7 (linear pair)
m∠8 = 180° - 126° = 54°
m∠8 = 54°
h. m∠9 = m∠7 = 126° (vertical angles)
m∠9 = 126°
i. m∠10 = m∠8 = 54° (vertical angles)
m∠10 = 54°
j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)
m∠11 = 180° - 90° - 54° = 36°
m∠11 = 36°
k. m∠12 = 180° - m∠11 (linear pair)
m∠12 = 180° - 36° = 144°
m∠12 = 144°
l. m∠13 = m∠11 = 36° (vertical angles)
m∠13 = 36°
m. m∠14 = m∠12 = 144° (vertical angles)
m∠14 = 144°
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Related Questions
A turkey cost $1.05 per pound. There are going to be 15 people at the Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings for turkey. It takes 12 minutes per pound to cook a turkey and dinner is at 3:00 pm. How many minutes will it take to cook the turkey?
Answers
Answer:
It will take 135 minutes or 2 hours and 15 minutes
Step-by-step explanation:
What we need here is to get the total
amount in pounds of turkey to be cooked
each person eats 3/8 pound servings
Total pound per person would be 3/8 * 2 = 3/4 pound servings
From what we have, there are 15 people at the dinner,
The total pounds to cook will be
15 * 3/4 = 45/4 pounds
Per pound of turkey, it takes 12 minutes
For 45/4 pounds, it will take
45/4 * 12 = 135 minutes
Let us convert this to hours
That will be 2 hours and 15 minutes
Which is the measure of angle D?
Answers
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Sum of the interior angles of any triangle is 180° .
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Thus ;
[tex]In \: \: ∆ DEF→D + E + F = 180° \\ [/tex]
[tex]D + 77° + 31° = 180°[/tex]
[tex]D + 108° = 180°[/tex]
Subtract sides 108°
[tex]D + 108° - 108° = 180° - 108° \\ [/tex]
[tex]D = 72°[/tex]
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The correct answer is Option four .
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Please help me I will really appreciate it!!!
Answers
Answer:
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
Step-by-step explanation:
solve for t
h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2
-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides
-2h + 2 = a[tex]t^{2}[/tex]; divide by a
(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
what's the difference between a number divided by three and four is twenty into an equation
Answers
Yes Ther ya go ncalnflanfla
Is -5.375 a rational number
Answers
Answer:
Irrational
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.
If x < 5, then which of the following must be true?
Answers
Answer:what are the options
Step-by-step explanation:
A
B
C
D
Answer:
You have to put the following lol Give me the options and I'll answer
Step-by-step explanation:
Kira solved the equation in the following way. 7 2 − 2x = 11 2 7 2 − 7 2 − 2x = 11 2 − 7 2 −2x ÷ −2 = 4 2 ÷ − 2 x = −1 Describe the properties of equality that Kira used. The first step is to use the property of equality to combine the constant terms. The second step is to use the property of equality to isolate the variable.
Answers
Answer:
the first step is to use the
✔ Subtraction
property of equality to combine the constant terms.
The second step is to use the
✔ Division
property of equality to isolate the variable
Step-by-step explanation:
edge 20 20
The first and second steps used by Kira to solve the equation are;
Subtraction Property of Equality and Division Property of Equality
Understanding Properties of Equality
What Kira wants to solve is;
72 - 2x = 11
The first step is to use the Subtraction property of equality to combine the constant terms. Thus;
72 - 2x - 72 = 11 - 72
-2x = -61
The second step is to use the Division property of equality to isolate the variable to get;
-2x/-2 = -61/-2
x = 61/2
Read more about properties of equality at; https://brainly.com/question/1601404
What is an equation of the line that passes through the points (5,8) and (-5,2)?
Put your answer in fully reduced form.
Answers
hi there! here's my answer for you...
Answer:
y = 3/5x + 5
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
hope this helped. have a good one!
Answer:
y=3/5x+5
Step-by-step explanation:
[tex]\frac{8-2}{5--5}= \frac{6}{10} =\frac{3}{5} \\\\8=\frac{3}{5} (5)+b\\\\b=5[/tex]
A notebook that costs $0.75 to make in the factory is sold for $1.35.
a) Calculate the amount that the notebook price is marked up.
b) Calculate the percent markup
Answers
Answer:
a) price markup $0.60
b) percent marked up 180%
Step-by-step explanation:
Amount marked up:
1.35 - 0.75 = $0.60
Percent markup:
0.75x = 1.35
x = 1.8 or 180%
Ms. Sacco is investigating the habitats of various animals. She starts scuba diving off the shores of Mexico. She dives to a depth of 65 feet. The next day she climbs a mountain at an elevation of 500 feet. What is her change in elevation?
Answers
Answer:500 ft.-65 ft.=435 ft.
Step-by-step explanation:435 ft. is your answer because the change of elevation goes down which means you subtract so I subtracted 500-65=435 feet
16x² +8-7x-3x2 - 13x
Answers
Answer:
[tex]13x^{2}[/tex]-20x+8
Step-by-step explanation:
Step 1: rearrange the equation
16x^2 - 3x^2 - 7x - 13x +8
Step 2: solve the equation
16x^2 - 3x^2 = 13x^2
-7x - 13x = -20x
(the +8 will stay the same)
so when we put it all together it gives us
13x^2 - 20x + 8
Find x (Type the number answer)
Answers
Answer:
18.41
Step-by-step explanation:
[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]
can someone help me with all three of these questions
Answers
Answer: x <4
Step-by-step explanation: Divide each term by 4 then simplify.
Answer:
x <4
Step by step explanation:
Which expression below can Cynthia use to find the cost for a backage that weighs w pounds?
0. A. W + 3.50
O B. 3.50
w
O c. 3.50 - w
OD 3.50W
Answers
Answer:
A
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. At this speed: How far does the penguin walk in 1 second?
Answers
Answer: 1.67 feet in 1 second
Step-by-step explanation: To find out how far the penguin walked in 1 second, you’ll have to divide 10 by 6 or use the ratio 10 : 6 and divide. You should get a final answer or result of 1.67 feet in 1 second.
*Tip: If you want to make sure your answer is correct, simply multiply your answer times 6, and see if it equals to 10 or is near 10.
Answer:
5/3 ft
Step-by-step explanation:
10 ft = 6s
x ft = 1s
cross multiply
10ft × 1s = 6s × x
{divide both sides by The coefficient of x (6x) }
(10 ft × s) ÷ 6s= x
10 ft ÷ 6 = x
5/3 ft = x
x = 5/3 ft
A bag contains lollipops and ring pops The ratio of lollipops to ring pops is 7 to 9. If there are 496 total pieces of candy in the bag. How many more ring pops are there than lollipops?
Answers
Answer:
Step-by-step explanation:
7:9
If you have 496 then you'll have 217:279, it adds up to 496.
279-217
62 more
Classify each number below as an integer or not.
Answers
Answer:
43 - Yes
15/3 - No
15/11 - No
-93.98 - No
-136.94 - No
Hope This Helps!
What is the square root for this numberZ
Answers
.........................
Please help! Forgot to do homework and I really need help! WORTH 30 POINTS!
Answers
Answer:
M=-4
A=-16
K=1
X=9
Q=-6
V=2
I WILL GIVE YOU BRAINLIEST IF YOU GIVE ACTUAL ANSWERS
Note-Answer as many as you can and please show your work
1. (-4x) = (-x) + 3
2. (-3x) = 5x + 8
3. (-5x) = 3x + 16
4. (-5x) = (-2x) + 6
5. (-5x) = 2x - 28
There is going to be more math questions on my account so if you want to please help me with those too!!!
Answers
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1) Go...
[tex] - 4x = - x + 3[/tex]
Add sides x
[tex]x - 4x = x - x + 3[/tex]
[tex] - 3x = 3[/tex]
Divide sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} \\ [/tex]
[tex]x = - 1[/tex]
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2) Go...
[tex] - 3x = 5x + 8[/tex]
Subtract sides 5x
[tex] - 5x - 3x = - 5x + 5x + 8[/tex]
[tex] - 8x = 8[/tex]
Divide sides by - 8
[tex] \frac{ - 8x}{ - 8} = \frac{8}{ - 8} \\ [/tex]
[tex]x = - 1[/tex]
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3) Go...
[tex] - 5x = 3x + 16[/tex]
Subtract sides 3x
[tex] - 3x - 5x = - 3x + 3x + 16[/tex]
[tex] - 8x = 16[/tex]
Divide sides by - 8
[tex] \frac{ - 8x}{ - 8} = \frac{16}{ - 8} \\ [/tex]
[tex]x = - 2[/tex]
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4) Go...
[tex] - 5x = - 2x + 6[/tex]
Add sides 2x
[tex]2x - 5x = 2x - 2x + 6[/tex]
[tex] - 3x = 6[/tex]
Divide sides - 3
[tex] \frac{ - 3x}{ - 3} = \frac{6}{ - 3} \\ [/tex]
[tex]x = - 2[/tex]
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5) Go...
[tex] - 5x = 2x - 28[/tex]
Subtract sides 2x
[tex] - 2x - 5x = - 2x + 2x - 28[/tex]
[tex] - 7x = - 28[/tex]
Negatives simplifies
[tex]7x = 28[/tex]
[tex] \frac{7x}{7} = \frac{28}{7} \\ [/tex]
[tex]x = 4[/tex]
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Select all the expressions that have a value of 180 when b = 4.
A . 87b−179+957÷87
B. 33b12
C. b2+120
D. 51b−24
E. 11b+187−2,756÷13
Answers
Answer:
A, and D
Step-by-step explanation:
If you go through all the problems, just replace "b" with "(4)" into a calculator. For A and D, they both equaled 180.
The expression that has a value of 180 when b = 4 is D. 51b−24
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
87b - 179 + 957/87.
= 87(4) - 179 + 857/87.
= 348 - 179 + 9.85, will not be 180.
33b12, will not be 180 at b = 4.
b² + 120, will not be 180 at b = 4.
51b - 24.
= 51(4) - 24.
= 204 - 24.
= 180.
11b + 187 - 1756/13.
= 11(4) + 197 - 135.07, will not be 180 at b = 4.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
3(x+5)-10 = -2(x+10)
Answers
Answer:
x=−5
Step-by-step explanation:
calculator
Robert bought a pair of shoes that were on sale for 30% off the original price of $79.95. Which is closest to the sale price of the pair of shoes?
Answers
Answer:
I think you are asking for the price Robert paid after the 30% off. There are two ways to do this. The first way is to find 30% of the full price and substract it from the full price or we could find 70% of the full price.
Lets make x the new price.
Step-by-step explanation:
First way:
x = 79.95 - (79.95 x 0.30)
x = 79.95 - 23.985
x = 55.965
(we round to the hundredth)
x = 55.97
Second way:
x = 79.95 x 0.70
x = 55.965
(we round to the hundredth)
x = 55.97
A collector has 105 movie posters and 90 band posters. She wants to sell 28 movie posters but still have her poster collection maintain the same ratio of 105:90. If she sells 28 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Answers
Answer:
24
Step-by-step explanation:
So, first subtract 105-28=77
Now simplify the ratio given. 105:90=21:18=7:6
So she has 77:90 right now. You want it to be 77:66 to fit the ratio.
She should sell 24 band posters.
PLEASE HELP An algebraic ___ is a mathematical phrase
With numbers, variables, operations for days.
is it coefficient , expression or evaluate
Answers
Hope this helps :)
Answer:
Expression
Step-by-step explanation:
The definition of an Algebraic Expression is this:
Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.
It can not be an Algebraic Equation because that only includes one variable.
I Hope That This Helps! :)
Give the domain and range of the relation.
Answers
Answer:
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).
Step-by-step explanation:
it c
If you are the smary , youll probably get this 0w0
Answers
Answer:
aww!! ok *grabs my notebook and start the work*
it is option 4! y = -2/3 x + 11/3
Step-by-step explanation:
happy to help
Solve kx + 7 = 4 for x.
Answers
Answer:
4
Step-by-step explanation:
Answer:
x= -3/k
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
its basically just percents y=85(1.25)=
Answers
Answer:
106.25
Step-by-step explanation:
y = 85(1.25) = 106.25
I'm not sure how to show the work, i just put it into a calculator
Fritz Benjamin buys a car costing $24600. He agrees to make payments at the end
of each monthly period for 6 years. He pays 7.2% interest, compounded monthly.
What is the amount of each payment? Find the total amount of interest Fritz will
pay.
Answers
Answer:
$525.62
$13,244.64
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = principal = $24,600
r = interest rate = 7.2% = 0.072
n = number of periods = 12
t = time = 6 years
A = P(1 + r/n)^nt
= 24,600(1 + 0.072/12)^12*6
= 24,600(1 + 0.006)^72
= 24,600(1.006)^72
= 24,600(1.5384)
= 37,844.64
12 months × 6 years = 72 months
Each monthly payment = Total payment / number of months
= $37,844.64 / 72
= $525.62
Total amount of interest = Total payment - Principal payment
= $37,844.64 - $24,600
= $13,244.64
