Answers
Answer:
85°
Step-by-step explanation:
The two angles are known as vertical angles, which are always congruent
Answer:
∠DEB = 85°
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
Angles AEC and DEB are vertically opposite angles, therefore:
∠AEC = ∠DEB
As ∠AEC = 85° then ∠DEB = 85° also.
Related Questions
The sum of two numbers is negative thirty-two. One number is two less than the other.
Call the numbers m and n
Answers
Answer:
-17 + -15 = -32
Step-by-step explanation:
-15 is two less than -17
-17 can be m and -15 can be n and vice versa.
*REMEMBER WHEN ADDING NEGATIVE NUMBERS, ADD THEM BUT MAKE SURE THE OUTCOME IS NEGATIVE*
What is square root, extra points for example.
Answers
Answer:
A square root is a factor of a number that, when multiplied by itself, gives the original number. An example is √9 = 3
Hope this helped! I would appreciate a Brainliest!
Answer:
The square root is the answer to an equation with two number multiplied by itself. Say for example, b/a = a, a is the square root of b. Let's say b = 144 and a = 12, 12 would be the square root of 144.
Step-by-step explanation:
Example 1:
144/12 = 12
12 is the square root of 144
Example 2:
64/8 = 8
8 is the square root of 64
Example 3:
81/9 = 9
9 is the square root of 81
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus,S for Shrimp, B for Bacon, F for French, and V for Vinegrette. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also you will addone of the following meats: Shrimp, bacon. Lastly, you will decide on one of the following dressings: French, vinegrette.
Answers
Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}
Step-by-step explanation:
Sample space is a set that contains all the possible outcomes for an event.For salad:
Choices for extra toppings (mushrooms, olives) =2
Choices for meats (bacon, eggs) =2
Choices for dressings (vinaigrette, honey mustard.)= 2
By Fundamental counting principal .
The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)
= 2 x 2 x 2 = 8
All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)
Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}
Isolate w for the literal equation v = lwh
Answers
[tex]\Large\textsf{\textbf{Answer\::}}[/tex]
view explanation please !
[tex]\Large{\textsf{\textbf{Calculations\::}}[/tex]
What are we asked to do ?
We are asked to isolate w (get w by itself) .
To do that , divide by lh on both sides :
[tex]\displaystyle\frac{V}{lh} = w[/tex]
So the right formula is :
[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] [tex]\displaystyle\frac{V}{lh} =w[/tex]
[tex]\footnotesize\text{hope\:helpful~}[/tex]
Answer:
w = v/lh
Step-by-step explanation:
v = lwh
Divide both sides by lh
w = v/lh
Choose the best answer for the question below
*
5 points
Captionless Image
A
B
C
D
Answers
Answer:
The answer would be D.
Step-by-step explanation:
Hope this Helps! Have a good day!
Answer:
D is the answer
Step-by-step explanation:
is the answer to the question.
To understand these questions, first look at the way the answers are written out.
Alia questions three students from her class, that might be an answer, but she didn't randomly pick them.
Miles randomly surveys a group of customers at a coffee shop, that might be one, but he might have surveyed a 25 year old instead of a 24 year old, so thats not one.
Carson interviews students working part-time to gather data, he didn't select random students, he interviewed all of them, so that is not a valid option.
Lea speaks with the managers at half of the town's 10 supermarkets, which stock similar items, to find out which breakfast cereal is most popular among the town's residents, that one is not stating that she interviewed, but she interviewed half of the 10, which is five, which can be selected randomly.
So the correct answer is D.
Kami is in charge of creating a five-digit code to lock and unlock a secure chamber. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with an even number.
How many possible codes that start with an even number could Kami create?
40,000 codes
50,000 codes
400,000 codes
500,000 codes
Answers
Using the Fundamental Counting Theorem, it is found that Kami could create 40,000 codes that start with an even number.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
The first digit has to be even, that is, 2, 4, 6 or 8, hence [tex]n_1 = 4[/tex].For the remaining digits there are 10 outcomes for each.Hence:
[tex]N = 4 \times 10^4 = 40000[/tex]
Kami could create 40,000 codes that start with an even number.
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The square root of a negative number can be expressed in?
Answers
Step-by-step explanation
No square root can be taken of a negative number within the system of real numbers because squares of all real numbers are non-negative.
Answer:
imaginary form
Step-by-step explanation:
So how we represent?
Let a number be -9
Find square root
√-9√9(-1)3√-13iSo
i stands for iota and has value √-1
help find the area pls
Answers
Answer:
181.46 = A
Step-by-step explanation:
pi X r^2 is the area of a circle
the diameter is already given so you can skip the radius an jump straight into pi X d diameter = (r^2) giving you area pi X diameter
PLEASE HELP!!!
i under stand how bioconditional statements work but i don’t understand what this means. Please help me!!!
Answers
Please answer asap!!! i need help w these
2. A display window consists of a stacked pyramid of books for sale. The bottom row has 57
books. Each row has three fewer books than the row below it. The display has 13 rows.
a.) Write the formula you learned in this unit needed to determine how many books are in
the top row of the display. (2 pts)
b.) What is the common difference of the sequence? d =
Show how you found this value. (1 pt)
c.) Use the formula you listed in step (a) to determine how many books are in the top row
of the display. Show all steps needed to solve and provide the final answer. (2 pts)
YTYY
d.) Write the formula leared in this unit needed to determine the number of books in the
entire display. (1 pt)
a.) What is the value of n? (1 pt)
(1 pt)
b.) Use the formula you listed in step (d) to determine the total number of books. Show all
steps needed to solve and provide the final answer. (2 pts)
Answers
The common difference on the sequence is -3 and the number of books will be 21.
How to illustrate the sequence?The formula that can be used to calculate the number of books will be:
= a + (n - 1)d
= 57 + (13 - 1)-
= 57 + (12 × -3)
= 57 - 36
= 21
Also, from the information given, each row has three fewer books than the row below it. Therefore, the common difference is -3.
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What is the rational number equivalent to 1.28?
Answers
Answer: 1 28/100 or 1 7/25
Step-by-step explanation:
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answers
Answer:
x = 7/3
Step-by-step explanation:
Given equation:
–9x² + 49 = 0To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.
⇒ –9x² + 49 - 49 = 0 - 49⇒ –9x² = -49We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.
⇒ –9x² = -49⇒ -9x²/-1 = -49/-1⇒ 9x² = 49Clearly, we can see that 9x² and 49 are perfect squares. Therefore,
⇒ 9x² = 49⇒ (3x)² = (7)²Take square root both sides of the equation:
⇒ √(3x)² = √(7)²⇒ 3x = 7To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation
⇒ 3x/3 = 7/3⇒ x = 7/3Therefore, the value of "x" must be 7/3.
Answer:
x = 7∕3, –7∕3
Step-by-step explanation:
To find the solutions of the quadratic equation -9x^2 + 49 = 0, we can solve for x by isolating x^2 first:
-9x^2 + 49 = 0
-9x^2 = -49
Dividing both sides by -9, we get:
x^2 = 49/9
Taking the square root of both sides, we get:
x = ± 7/3
Therefore, the solutions of the quadratic equation -9x^2 + 49 = 0 are x = 7/3 and x = -7/3.
The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain. (2 points)
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning. (2 points)
Answers
Answer:
ΔABC is a right triangle
length of the concession stand = 42.4 ft (nearest tenth)
Step-by-step explanation:
Given:
Side length of square A = 30 ftSide length of square B = 40 ftSide length of square C = 50 ftWe can use Pythagoras' Theorem to prove if ΔABC is a right triangle.
Pythagoras' Theorem: a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
a = side length of square A = 30b = side length of square B = 40c = side length of square C = 50⇒ a² + b² = c²
⇒ 30² + 40² = 50²
⇒ 900 + 1600 = 2500
⇒ 2500 = 2500
Therefore, ΔABC is a right triangle
To find the diagonal of square A, use Pythagoras' Theorem:
Given:
a = side length of square A = 30b = side length of square A = 30c = diagonal of square A⇒ a² + b² = c²
⇒ 30² + 30² = c²
⇒ 900 + 900 = c²
⇒ c² = 1800
⇒ c = √(1800)
⇒ c = 42.42640687
Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)
A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School bus
Sophomore 2
25
3
3
Junior
13
20
2
Senior
25
5
5
a
What is the probability that a randomly selected student
is a junior?
?
P(Junior)
=
Answers
Probability helps us to know the chances of an event occurring. The probability that a randomly selected student is a junior is 0.35.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability that a randomly selected student is a junior will be,
P(Junior) = [(Number of Juniors)\(Number of total students)]
P(Junior) = 35/100 = 0.35
Hence, The probability that a randomly selected student is a junior is 0.35.
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please answer its due soon and ill make brainlist and rate 5 stars and like please answer correctly I really need it.
Answers
Answer:
The given quadratic has two solutions.
Step-by-step explanation:
The discriminant of a quadratic equation is [(b^2) - (4 * a * c)]
We're given the quadratic x^2 - 8x - 84 = 0
We can find a, b, and c by analyzing the quadratic.
So,
a = 1 because x^2 has no coeffiecient
b = -8 ( coefficient of 8 * the - )
c = -84 the raw y-intercept value of this function
Now we can plug these numbers into the discriminant expression:
(-8)^2 - ( 4 * 1 * -84 ) =
64 - ( - 336 ) =
64 + 336 =
400
Now that we know the value of the discriminant, we have to anazlyze it.
If the discriminant of a quadratic is positive, the quadratic has 2 solutions.
If the discriminant is negative, the quadratic has no solutions.
If the discriminant is equal to zero, the quadratic only has 1 solution.
In conclusion, because the discriminant = 400, and 400 > 0, the given quadratic equation has two solutions.
Steps:
Factor the expression.
Apply the AC Method
Look at the coefficients, A=1,B=-8,C=-84
Find factors of AC.
{1,2,3,4,6,7,12,14,21,28,42,84}
Find pairs of the above factors, which, when multiplied equal 84.
{1*84,2*42,3*28,4*21,6*14,7*12}
Which pairs of these factors have a difference of B = -8?
6-14=-8
Split the middle term to use above pair.
x^2+(6×-14x)-84
Factor x out of the first pair.
x*(x+6)+(-14x-84)
Factor-14 out of the second pair.
x*(x+6)-14*(x+6)
Group the common factor.
(x-14)*(x+6)
Set 1 st factor x-14 to 0 to solve.
x-14=0
Add 14 to both sides
x-14+14=0+14
Simplify
x=14
Set 2nd factor x+6 to 0 to solve.
x+6=0
Subtract 6 from both sides
x*6-6=0-6
Simplify
x=-6
Solution:
x=(-6,14)
Which of the
following proves
these triangles
are congruent?
A. ASA
B. AAS
C. Neither, they are not congruent
Answers
By using '' ASA congruency theorem'' these triangles are congruent.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangles are shown in figure.
Now, We have to given in both triangles,
Two angles are equal to each other.
And, One side of both triangles are common.
Hence, By using ''ASA congruency theorem'' these triangles are congruent.
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The average of the test scores of a
group of x students is 76 and the average of the test scores of a group of y students is 90. When the scores of the two groups of students are combined, the average test score is 85. What is the value of x/y
Answers
Answer:
x/y = 5/9
Step-by-step explanation:
sum = count * mean
for the group of x students:
sum = x * 76
let's say this sum is a
a = 76x
for the group of y students:
sum = y * 90
let's say this sum is b
b = 90y
total sum = total count * total mean
total sum = total sum from both groups = a + b
total count = total count from both groups = x + y
a + b = (x+y) * 85
expand
a + b = 85x + 85y
a = 76x
b = 90y
replace a with 76x and b with 90y in the first equation. this limits the equation to x and y, which we want because we want to find x/y
76x + 90y = 85x + 85y
subtract 76x and 85y from both sides to limit the amount of numbers
5y = 9x
divide both sides by 9 to isolate the x
(5/9)y = x
divide both sides by y to get x/y
x/y = 5/9
Help please:
Rewrite the problem in terms of some using the double-angle formula.
Answers
[tex]sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] ~\dotfill\\\\ sin(x)cos(x)=\cfrac{\sqrt{3}}{4}\implies \stackrel{\textit{multiplying both sides by 2}}{2sin(x)cos(x)=2\left( \cfrac{\sqrt{3}}{4} \right)}\implies sin(2x)=\cfrac{\sqrt{3}}{2}[/tex]
17) Which property is represented below?
6. (3 + 8) = 6:3+ 6.8
A. Commutative property of multiplication
O B. Distributive property
O C. Zero product property
D. Additive identity property
Answers
Answer:
Distributive Property
Step-by-step explanation:
It looks like you are multiplying the 6 to both the 3 and 8.
Congruent yes or no
Congruent? _______
If so, what property? ________
Answers
Answer: No
Step-by-step explanation:
If we rotate them so they are both facing the same direction, the congruency between sides and angles do not make the two triangles congruent as a whole.
See attached for the pictures I drew of the triangles rotated. They are not to scale, but I kept the markings on.
Which graph shows only corresponding x-values and y-values where the value of y is 2 more than the product of x and 0.5?
Answers
IF YOU ARE MULTIPLYING BY 0.5 IT IS THE SAME AS CUTTING THE NUMBER IN HALF SO ALL X VALUES WOULD NEED TO BE EVEN NUMBER
100yards equals how many feet
Answers
Answer: 300 ft
Step-by-step explanation:
100*3 = 300
How: 100*3
Please help
Determine whether the situation illustrates a correlation or causation. Explain your reasoning.
Hae notices that the lower the daily temperature is, the less time she spends outside.
The situation illustrates a ______,
because lower temperatures _________,
Hae to stay indoors.
1st options: causation, correlation
2nd options: do not cause, likey cause
Answers
1st-causation i think bc its a cause for thim not to go outside
2nd-likely cause i put likely cause bc it says its low temp. and he said low tempetures cause his to stay inside.
Brittany graphs the point (6,3) on a coordinate grid. Which describes where she
should plot the point if she starts at the origin?
Answers
Answer:
Six units to the right and 3 units up.
Step-by-step explanation:
Answer:
Six units to the right and 3 units up
What is the difference between the longest and shortest distances the gliders flew?
Answers
If s(x) = 2x2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) =
A) 2x3 + 11x2 + 8x - 16
B) 2x3 + 5x2 + 16x - 16
C) 3x3 + 7x2 + 8x + 16
D) 3x3 - 11x2 + 16x + 16
Answers
Answer:
A) 2x3 + 11x2 + 8x - 16.
Step-by-step explanation:
s(x).t(x) = (x + 4)( 2x2 + 3x - 4)
= x(2x2 + 3x - 4) + 4( 2x2 + 3x - 4)
= 2x3 + 3x2 - 4x + 8x2 + 12x - 16
= 2x3 + 11x2 + 8x - 16
Instructions: In the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in order from left to right on the graph, or least to greatest. If the function has only one solution, type the solution in both of the boxes. If there are no real solutions type “none” in both boxes.
Answers
The quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0
Solutions of a quadratic function
From the question, we are to determine the number of real solutions the quadratic function has.
NOTE:
If the graph of the quadratic function crosses the x-axis at two points then we have two solutions. If the graph touches the x-axis at one point then we have one solution.If the graph does not intersect with the x-axis then the equation has no real solution.From the given diagram, the graph of the quadratic function crosses the x-axis at two distinct points.
∴ The quadratic function has two real solutions
The solutions of a quadratic function are the points where the graph intersects with the x-axis.
In the given graph, the solutions to the function are x = -2 and x = 0
Hence, the quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0.
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what is 20.70% of 5,029,196
Answers
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20.70\% of 5029196}}{\left( \cfrac{20.70}{100} \right)5029196}\implies 1041043.572[/tex]
Step 2. 0.207x5029196= 1021
Therefore, the answer is 1021.
The linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage. Let x represent the number of hours and y represent the number of miles. How far from home is Traci in 12 hours? Is the equation linear, or not?
Answers
Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a linear equation:
y = 30x
Here, x represent the number of hours and y represent the number of miles.
When x = 12 hours then
y = 30(12) = 360 miles
If draw the graph the equation y = 30x, it will be a linear equation.
(refer attached picture)
Thus, Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.
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Solve |7x +42| = 14x. Identify the solution and an extraneous solution.
A. Solution: x = -2;
extraneous solution: x = 6
B. Solution: x = 6;
extraneous solution: a = -6
C. Solution: x = 6;
extraneous solution: x = -2
D. Solution: x = = 2;
extraneous solution: a = -6
Answers
First Case
[tex]|7x+42|=14x\\\\7x+42=14x\\\\42=7x\\\\6=x[/tex]
Second case
[tex]-|7x+42|=14x\\\\-7x-42=14x\\\\-42=21x\\\\-2=x[/tex]
Verify into first case
[tex]|7(6)+42|=14(6)\\\\|84|=84\\\\84=84\\\\LS=RS[/tex]
[tex]|7(-2)+42|=14(-2)\\\\28\neq -28\\\\LS\neq RS[/tex]
The solution is 6 and the extraneous solution is -2, which makes the answer C.
