For lines a , c , and d , line c is parallel to line d and m ∠ 1 = 55 ° . Part A: For the given diagram, use the measure of ∠ 1 to find the measure of the remaining seven angles. Part B: In two or more complete sentences, explain the relationship between angle pairs a) ∠ 1 and ∠ 7 and b) ∠ 1 and ∠ 2 . in your explanation, include how you calculated each of the angle measures in the special angle pairs.
Answers
Answer:
Part A:
1, 4, 5, and 8 = 55 degrees.
3, 2, 6, and 7 = 125 degrees.
Part B:
I know that angle 1 is 55 degrees so angle 7 would be 125.
I know that angle 1 is 55 and to get angle 2, both angles should add up to 180 so 180 - 55 is 125, that is how I find angle 2 = 125 degrees.
Step-by-step explanation:
This is what I wrote, I hope it helps and tell me if I am wrong but I think it is right.
Have a Meowgical day!
Part A:
The values of the angles are:
∠1 = 55
∠2 = 125
∠3 = 125
∠4 = 55
∠5 = 55
∠6 = 125
∠7 = 125
∠8 = 55
Part B:
∠1 and ∠7 are exterior angles on the same side.
∠1 and ∠2 form a straight angle.
We have,
Part A:
From the figure,
∠1 and ∠5 are corresponding angles.
So,
∠1 = ∠5 = 55
And,
∠1 and ∠8 are alternate exterior angles.
∠1 = ∠8 = 55
And,
∠1 and ∠4 are vertical angles.
∠4 = 55
And,
∠5 and ∠8 are vertical angles.
∠5 = 55
Now,
∠1 and ∠2 form a straight angle.
This means,
∠1 + ∠2 = 180
∠2 = 180 - 55
∠2 = 125
And,
∠5 and ∠6 forms a straight angle.
This means,
∠5 + ∠6 = 180
∠6 = 180 - 55
∠6 = 125
Now,
∠2 and ∠3 are vertical angles.
∠6 and ∠7 are vertical angles.
This means,
∠3 = 125
∠7 = 125
Part B:
∠1 and ∠7 are exterior angles on the same side.
This means,
∠1 + ∠7 = 180
Substituting the values.
55 + 125 = 180
180 = 180
This is true.
And,
∠1 and ∠2 form a straight angle.
This means,
∠1 + ∠2 = 180
55 + 125 = 180
This is true.
Thus,
The values of the angles are:
∠1 = 55
∠2 = 125
∠3 = 125
∠4 = 55
∠5 = 55
∠6 = 125
∠7 = 125
∠8 = 55
And,
∠1 and ∠7 are exterior angles on the same side.
∠1 and ∠2 form a straight angle.
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Related Questions
A rectangular book measures 4 x 7. What is the length of its
diagonal?
Answers
A rectangular book measures 4 x 7, the length of its diagonal is √65.
Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In mathematical terms, if a and b represent the lengths of the two shorter sides (also known as legs) of a right triangle, and c represents the length of the hypotenuse, then the Pythagorean theorem can be expressed as:
a² + b² = c²
Given:
Base = 4
Length = 7.
To determine the length of diagonal by using Pythagorean theorem.
Diagonal² = Base² + Length²
Plugging the values in Pythagorean theorem.
Diagonal² = 4² + 7²
Diagonal = √(16 + 49) =√65.
Therefore, the length of diagonal of book is √65.
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What is the value of X?
PLEASE HELP
Answers
Answer:
23
Step-by-step explanation:
19=x-4
x=23
A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. What is the cost of one hat and one mask? Let Hat be "H" and Mask be "M"
Answers
Answer:
m=1$
h = 1$
Step-by-step explanation:
i think... seems the only reasonable answer
The cost of one hat is $1 and cost of one mask is $1.
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have 10 hats and 20 masks were sold for $30.
and, 8 hats and 10 masks were sold for $18.
let the cost of one hat be H and cost one Mask be M.
So, the system of Equation we get
10H + 20M = 30..........(1)
8H + 10M = 18...........(2)
Solving the above equation we get
10H - 16H = 30 - 36
-6H = -6
H = 1
and, 10 + 20M= 30
20M= 20
M= 1
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Please please help please please
Answers
Answer:
A. 4/ 3
Step-by-step explanation:
With reference angle X
perpendicular (p) = 24
base (b) = 18
Now
tan X = p / b = 24 / 18 = 4 / 3
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment lists points on each graph.
a) The equation for a horizontal line is ...
y = constant
Here, the output value is always 5, so that is the constant in the equation:
y = 5
__
b) The graph is a straight line through the origin, so the equation is that of a proportion:
y = kx . . . . . for some constant of proportionality k
Using the point (x, y) = (-4, 2), we can find k from ...
k = y/x = 2/(-4) = -1/2
The equation of the line is ...
y = -1/2x
__
c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...
m = rise/run = 3/1 = 3
The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...
y = mx + b . . . . . for slope m and y-intercept b
y = 3x - 2
_____
You can check that the equation is satisfied by each of the points listed. For example, ...
a) in = -4, out = y = 5 . . . matches table
b) in = 2, out = y = -1/2(2) = -1 . . . matches table
c) in = 1, out = y = 3(1) -2 = 1 . . . matches table
(You can check the other table values.)
What is 8/5 times 4/15?
Answers
Answer:
The answer is 32/75
Step-by-step explanation:
Hope this helps,
have a great day,
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is the dilation from figure A to figure B an enlargement or a reduction? what is the scale factor?
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Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square units 18.5 square units 21 square units
Answers
9514 1404 393
Answer:
18 square units
Step-by-step explanation:
Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...
AB = 6√2
CD =3√2
The area is half the product of the base (AB) and height (CD) so is ...
A = 1/2bh = (1/2)(6√2)(3√2) = 18
The area of ΔABC is 18 square units.
_____
Additional comment
It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...
c² = a² +b²
c = 1² +1² = 2
c = √2
Answer:
B: 18 square units
Step-by-step explanation:
I'm taking the exam
jsjsbsjdjsjannsnsns
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Answer:
yes this is so normal to do
Thx for the points
Have a good night :)
I just need help on this problem
Answers
Answer:
16
Step-by-step explanation:
8n ; n=2
substitute 2 for n
8*2 = 16
Answer:
16
Step-by-step explanation:
plug in 2 for the letter n. 8(2)=16
parantheses mean multiplication.
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
Answers
Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
Question on the picture
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Answer:
[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]
simplify [tex]\sqrt[4]{6^4}[/tex]
Answers
Answer:
6
Step-by-step explanation:
We can rewrite the expression as
(6^4) ^ (1/4)
We know that a^ b^c = a^ ( b*c)
6^4 ^ (1/4)
6 ^ ( 4*1/4)
6
Answer:
6
Step-by-step explanation:
[tex] \sqrt[4]{ {6}^{4} } [/tex]
The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer
[tex]6[/tex]
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Answer: UMMMM I don't see a screenshot
Step-by-step explanation:
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Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
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Answer:
Step-by-step explanation:
.
HELP !!!!!!! MAHH HELP PLEASE !!!!
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B. ( 3 , -1 )
C. ( 1 , 2 )
D. ( 6 , 3 )
E. ( 9 , 2 )
F. ( 2 , -5 )
G. ( 2 , -3 )
H. (-16/11 , 28/11 )
Please mark BRAINLEST
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solve the equation by combining like terms: 3x-5+12-2x=12
Answers
Answer:
482
Step-by-step explanation:
3x-5=178+12=82-22x=482
X+7=12 (by combining like terms you have your X’s and your regular numbers. So in this equation we have 3x and -2x as like terms and -5 and 12 as like terms. We combine them to simplify the equation. So by combing 3x and -2x, 3+(-2x), we get 1x or just x. Then we combine -5 and 12, -5+12=7).
X+7=12
-7 -7
X=5
Good luck and I hope this helps!
consider this system of equationsY=-1/2x+4 1/2 and 3x -4y=12 solve the system by graphing.Label each graph and the solution ...?HELP
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Answer:
y=x^2
Step-by-step explanation:
freh points for da butter dog the dog wit da butter
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Answer:
tanks for the freh points
Step-by-step explanation:
we all like freh points
Answer:
butter dog sounds cool
Step-by-step explanation:
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Find the distance between 3,4 and 3,9
Answers
Answer:
The answer is 5.
Step-by-step explanation:
The distance formula is ↷
[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]
All we got to to do right now is plug in!
[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]
Therefore, the distance between 3,4 and 3,9 is 5.
1. FIND THE SLOPE FROM THE TABLE.
Answers
Answer:
B
Step-by-step explanation:
Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2
Find the value of ‘n’ and measure-of each angle
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Answer:
pleas give me free brainiestStep-by-step explanation:
1. It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. 2. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. 3. The sum of the lengths of any two sides of a...
What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6
Answers
Answer:
y = -¹/₂ x - 6Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 2x + 3 ⇒ m₁=2
2×m₂ = -1 ⇒ m₂ = -¹/₂
The y-intercept is b=-6 so the equation in slope-intercept form:
y = -¹/₂ x - 6
PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32
Answers
Answer:
I'm not even lying, it's none of them ;-;
btw if you want, can you give me brainliest :((
Answer:
4
Step-by-step explanation:
16^(1/2)
when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number
we are left with an order 2 root, which is a square root
[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]
6 = m/8 Solve the equation.
Answers
[tex]6=\frac{m}{8}\\x=48[/tex]
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Given f(-2)=0, find the zeros of the function below by using division and factoring
f (x) x^3 + 12x^2 + 46x + 52
Answers
Answer:
{x}={2}
{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}
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If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº
Answers
Answer:
75°
Step-by-step explanation:
this isnt really step by step but its some thing
102
-27=
75°
select the equation that represents the correct answer. bill divided the 32 ants in his farm into groups. there are 8 ants in each group. how many groups are in the farm?
(A) 8x = 32
(B) 32 - X = 8
(C) X + 8 = 32
(D) 32x = 8
Answers
Answer:
dont cheat
Step-by-step explanation: