Answers
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Related Questions
Mr. Hussein is wrapping present. She has 2 yards of ribbon to use for 4 presents. How many yards or ribbon can she use for each present? Show with numbers, words, and a picture or diagram CAN SOMEONE HELP ME
Answers
Answer: you can use .5 yards of ribbon
Step-by-step explanation: this equals 18inches or 1.5 feet hope this helps
Please I need help I'm in grade 5 and I don't understand this so make me understand in a easy way.
9. If A = x - y + z, B = 2x - 3y +4z and C = 4x - 5y - 6z, find
(I) A + B + C
(II) A - B + C
(III) A + B - C
Answers
Answers:
A+B+C = 7x - 9y - zA-B+C = 3x - 3y - 9zA+B-C = -x + y + 11z======================================================
Explanation:
Skip to the "Work Shown" section below to see the steps for each part.
Each variable is a place holder for some unknown number. We can think of it like a box that holds a number. Luckily the letter x is found in the word "box" to help cement this line of thinking.
1x = 1 box
2x = 2 boxes
3x = 3 boxes
and so on
This shorthand notation allows us to quickly add boxes
2 boxes + 3 boxes = 5 boxes
So 2x+3x = 5x
And we can subtract boxes as well
7 boxes - 3 boxes = 7x - 3x = 4x = 4 boxes
The same number must go in box x for this to work out.
When it comes to dealing with negative numbers, it might help to use a vertical number line. I like to think of it like going up and down an elevator on a skyscraper. Negative integers represent basement levels.
It's possible to have boxes within boxes. The box A has the three boxes x-y+z inside it. So wherever we see an "A", replace it with x-y+z. Unfortunately we don't know what numbers go in the boxes for x, -y and z. Use the same type of thinking for B and C.
Don't forget to use the distributive property to distribute the negative through to each term.
Example: (x+y)-(w+z) = x+y-w-z
Many students make the mistake in saying that (x+y)-(w+z) = x+y-w+z which is not true. The +z should be -z at the very end.
Let me know if you have any other questions.
The next section below shows the steps needed to get the three answers.
----------------
Work Shown:
Part (I)
A+B+C = (x-y+z)+(2x-3y+4z)+(4x-5y-6z)
A+B+C = (x+2x+4x)+(-y-3y-5y)+(z+4z-6z)
A+B+C = 7x - 9y - z
Part (II)
A-B+C = (x-y+z)-(2x-3y+4z)+(4x-5y-6z)
A-B+C = x-y+z-2x+3y-4z+4x-5y-6z
A-B+C = (x-2x+4x)+(-y+3y-5y)+(z-4z-6z)
A-B+C = 3x - 3y - 9z
Part (III)
A+B-C = (x-y+z)+(2x-3y+4z)-(4x-5y-6z)
A+B-C = x-y+z+2x-3y+4z-4x+5y+6z
A+B-C = (x+2x-4x)+(-y-3y+5y)+(z+4z+6z)
A+B-C = -x + y + 11z
The whooping crane is Canada’s tallest bird. When the angle of elevation of the sun
decreases from 30° to 25°, the length of a whooping crane’s shadow increases by 62 cm.
How tall is the whooping crane?
Answers
The crane is 139.8cm tall.
what is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
Using Trigonometry
tan 30 = h/y
1/√3 = h/y
y= h√3
and, tan 25= h/y+62
0.96= h/(h√3 +62)
h= 0..96 (h√3 +62)
h= 0.96*h*1.732+0.96*62
h=0.796h +28.52
0.2404h= 28.52
h= 139.8 cm
Hence, whooping crane is 139.8 cm.
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Necesito las respuestas
Answers
Answer:
I need it in English please so I can helps
Solve for y 4/7t+2:7=6
Answers
Answer:
1/7
Step-by-step explanation:
Which point is graphed at (2, 1)?
Point B
Point C
Point A
Point
Answers
Answer:
Point A
Step-by-step explanation:
Please Mark me as brainliest
Answer: point A
Step-by-step explanation:
You move two to the right and up one because the two is the x-coordinate so on the x-axis you start from (0,0) and move to the right since it’s positive. If it was negative it would be to the left. Same as when dealing with y. The y coordinate is one so you move up on the y-axis(always start from the origin which is (0,0)). If it was negative you move down. Rise/run in this case 1/2.
Identify the expressions for which limits exist.
Answers
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
complete the equation of the line.
Answers
Answer:
see the attachment photo!
to get the equation of any straight line, we simply need two points off of it, let's use the provided points in the picture above.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{1 +3}{1 +0}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+3=4x\implies y=4x-3[/tex]
Which of the following best describes the slope of the line below?
Answers
Answer:
Zero
Step-by-step explanation:
the line is not going up or down therefore there is no slope
Which graph represents a linear function?
Can give brainliest!!
Answers
What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
252 in. 3
568 in. 3
1,272 in. 3
3,024 in. 3
Answers
Answer:
252 in^3
Step-by-step explanation:
give brainliest, please!
hope this helps :)
to figure out the volume we have to multiply the base, and height together.
the base is 18 and the height is 14.
18 times 14 = 252
252 in^3
Answer:
3,024 in. 3
Step-by-step explanation:
1 foot = 12 inches
18x12x14= 3024
I just did this assignment
four subtracted from twice a number is two. what is the number
Answers
Answer: 3
Step-by-step explanation:
First, we will write a mathematical equation for the phrase given.
-> Let n be "a number"
four subtracted from twice a number is two
four subtracted from twice a number = 2
(twice a number) - 4 = 2
2n - 4 = 2
Now, we will solve this equation by isolating the variable.
2n - 4 = 2
2n = 6
n = 3
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how many whole numbers are less than n?
Answers
Please please please help meeeeeeeee and I WILL mark you brainliest
Answers
For what power of q is its value 1?
Answers
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
__
x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to any power.
_____
Additional comment
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
The statistical technique used to make predictions of future outcomes based on present data is ______ Group of answer choices correlational analysis repeated measures linear regression analysis of variance
Answers
The type of statistical technique that is employed in future predictions of outcomes based on presented data is: C. linear regression.
What is a Linear Regression?Linear regression can be described as a statistical technique that is used to make future predictions using the regression equation of a line of best fit that models the relationship between variables Y and X.
Through the regression equation, outcomes of the future can be predicted. This statistical technique is known as: C. linear regression
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Any Help Will Be Appreciated!
Answers
Answer:
-148
Step-by-step explanation:
Hello!
We can evaluate by plugging in -3 for x, and -7 for y in the expression [tex]3x^3 - 2x^2 + 7y[/tex]
Evaluate[tex]3x^3 - 2x^2 + 7y \text{ for x=-3, and y=-7}[/tex][tex]3(-3)^3 - 2(-3)^2 + 7(-7)[/tex][tex]3(-27) - 2(9) - 49[/tex][tex]-81 - 18 - 49[/tex][tex]-148[/tex]The evaluated value is -148.
Answer:
-148
Step-by-step explanation:
Area of a rectangular playground in residential society is 2 2/5 km square and one of its sides is 1 2/5 km/ find the length of the other side
Answers
Step-by-step explanation:
area of a rectangle is
length × width
so, in our case
2 2/5 km² = 1 2/5 × width (or length, it does not matter)
12/5 km² = 7/5 × width
width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km
Combine the radicals [tex]9\sqrt{x} -3\sqrt{x} \\[/tex]
Answers
The combination of the radicals 9√x - 3√x will be equal to 6√x.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
The given radicals can be combined as shown below,
9√x - 3√x
Taking √x as the common term,
= √x(9-3)
= 6√x
Hence, the combination of the radicals 9√x - 3√x will be equal to 6√x.
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HELP ASAP!!
What is the midpoint of the line segment graphed below?
Answers
choice (A) is correct
hope it helps
please hurry it’s timed
Which of the following is an asymptote of y=csc(x)?
x= -pi
x= -pi/3
x= pi/4
x= pi/2
Answers
Answer:
x = -π
Step-by-step explanation:
An asymptote line is a line that the graph does not intercept or pass through but rather approaches it. An asymptote line also is considered to be a line of undefined value of function because if an asymptote is x = a then f(a) is undefined.
The question gives a function y = csc(x) which is in another form, y = 1/sin(x).
We have to find the value of x that turns the function in undefined and that x-value will be your asymptote.
From a unit circle, we know that sin(-π) = -sin(π) = 0. Since sin(-π) = 0 —> y = csc(-π) = 1/sin(-π) = 1/0
Now we find out that at x = -π, csc(x) is not defined and hence, an asymptote is x = -π
by factoring, identify the zeros of the quadratic function f (x) = x²-9x-22
Answers
Answer:
x= -2, x= +11
Step-by-step explanation:
I hope this is right!
To factorise, we need two numbers that add to make -9 and multiply together to make -22.
2 - 11 works, so we put it in the brackets in this order.
(x + 2) (x - 11)
so x + 2 = 0 and x - 11 =0
but we could also simplify this to say that x could be either -2 or + 11.
I hope this helps.
Have a lovely day.
A population of paramecia, P, can be modeled using the exponential
function P(t) 3(2), where t is the number of days since the
population was first observed. Which domain is most appropriate
=
to use to determine the population over the course of the first two
weeks?
Answers
The appropriate domain of the population function is 0 ≤ t ≤ 14
How to determine the domain?The function is given as:
P(t) = 3(2)^t
From the question, we understand that the maximum time is 2 weeks.
2 weeks in days is 14 days
This means that the function is valid for 14 days i.e. t = 0 to 14
Hence, the appropriate domain of the population function is 0 ≤ t ≤ 14
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4. What is the measurement of 2 and 11?
Answers
Answer:
look at the photo
...................................
Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
Answers
The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
What are quotients?Quotients are result derived from the ratio of two rational or integers. Given the expression
21.49 ÷ 3.76
Convert to fraction
21.49 ÷ 3.76 = 2140/100 ÷ 376/100
21.49 ÷ 3.76 = 2140/376
21.49 ÷ 3.76 = 5.69
Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
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can you help me please
Answers
there you go hope it helps :)
Which is a coefficient in the expression below?
(r – 2) + s(10 – t)
Answers
Answer:
-2
Step-by-step explanation:
coefficient is the number without a letter next to it
Danielle Cecil's driver-rating factor is 1.60 and her car is in age group D and insurance-rating group is 12.
She wants 100/300 bodily injury and $50,000 property damage coverage.
102377
Answers
The value of the annual premium will be $1134.40
How to calculate the premium?From the information given, the annual base premium will be:
= Liability premium + Collision premium + Comprehensive premium
= $383 + $240 + $86
= $709
The annual premium will be:
= Annual base premium × Driver eating factors
= $709 × 1.60
= $1134.40
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A stock is changing value by -$0.12 each minute. The stock’s value will have changed by -$1.68 after
minutes.
Answers
Answer:
14 Minutes
Step-by-step explanation:
1.68 divided by 0.12 is 14 or Multiply 0.12 by 14 and you get 1.68.
If f(x) = (1/9)(9*), what is f(3)? A. 729 B. 81 C.1/729 D.1/81
Answers
Answer:
B. 81Step-by-step explanation:
Note. It is assumed * is x in the function notation.
GivenFunction f(x) = (1/9)(9ˣ)Rewrite it as:f(x) = 9⁻¹ 9ˣ = 9⁻¹⁺ˣ = 9ˣ⁻¹Find f(3)Substitute the value of x into equation:
f(3) = 9³⁻¹ = 9² = 81Correct answer choice is B