Answers
Answer:
A. 78
Step-by-step explanation:
You want the measure of one base angle of an isosceles triangle when it is given as (6x+6)° while angle K is given as 2x°.
Angle relationsYou don't need to solve any equations to determine the correct answer choice. You just need to understand the relationship between angles in an isosceles triangle.
The two base angles in an isosceles triangle are congruent, so neither can be more than 90°. (Eliminates choice C.)
The base angle at (6x+6) is more than 3 times angle K at (2x), so the base angle cannot be as little as 12.75. (Eliminates choices B and D.)
The only viable answer choice is A. 78°.
SolutionThe sum of angles in any triangle is 180°. The two base angles in an isosceles triangle are the same measure, so we have ...
(6x +6)° +(6x +6)° +2x° = 180°
14x +12 = 180 . . . . . . . . . . . divide by °, collect terms
14x = 168 . . . . . . . . . . subtract 12
x = 12 . . . . . . . . . . divide by 14
∠D = (6x +6)° = (6·12 +6)° = 78°
__
Additional comments
We are referring to the angle marked 2x° as "angle K" because Brainly doesn't like the word a.pex to show up in an answer.
We know triangle DKT is isosceles because the sides are marked with a single hash mark. The congruent base angles are opposite the congruent sides.
An altitude from K to segment DT would divide the triangle into two congruent right triangles, each with its half of angle K being x°. Then angles K/2 and T are complementary to that, so you could write ...
6x +6 +x = 90 ⇒ 7x = 84 ⇒ x = 12 ⇒ ∠D = 90° -12° = 78°
Once again, recognition that 6x+6 is somewhat greater than x means that angle D must be somewhat more than 45°. (The larger of two things is always greater than half their sum.)
Related Questions
A person invests $1000 in an account that earns 5.5% annual interest. Find when
the value of the investment has doubled.
Answers
Answer:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Compound Interest:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
Chanise's allowance is 1 3 of her older brother's allowance. Chanise's allowance is $6 per week. Solve the equation a 3 =6 to find out how much allowance Chanise's brother earns in a week.
Answers
Answer:
a = $ 18
Step-by-step explanation:
It is given that Chinase's allowance is $6 per week and it is 1/3rd of his brother's allowance. Assuming the brother's allowance as "a", we can write the equation as follows:
[tex]\$6 = \frac{a}{3}\\a = (\$6)(3)[/tex]
a = $ 18
Therefore, the allowance earned by Chinse's brother every week is found to be $ 18.
A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.50
B. 0.53
C. 0.51
D. 0.49
Answers
Answer: .50
Step-by-step explanation:
A pex
You walk 5 blocks north, then 3 blocks east. How far are you from your starting
the point, as the crow flies?
Answers
Answer:
5.83095189485
Step-by-step explanation:
Write a rule to describe each transformation.
S(1,-4), R(2,0), 2(3,0), P(3,-2)
to
S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
Answers
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
what is transformation ?Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image, which refers to the object's initial shape, and the Image, which refers to the object's ultimate shape and location after transformation, are both terms. Transformations can be divided into three categories: translations, reflections, and dilations. There are two types of transformations that can be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values). The four transformation variables are included in the equation of a function that is shown below (a, b, h, and k). changing the log. Take the log of every observation as an example. Transposition by the square root. The square root of each observation is what is need for this.
given
Translation or shift vector refers to the pair (tx, ty). Column vectors are another way to visualize the aforementioned equations.
S(1,-4), R(2,0), 2(3,0), P(3,-2) to S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
is S (-6, -2) , R( -6 , 2)
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
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what is the mean, median, mode, and range of
1) 2,3, 1, 1, 3
2) 10, 8, 9, 8, 5
3) 13, 8, 11, 7, 5, 10
Answers
Question 1 Use right triangle XYZ to complete the following parts. Question What is the length of XY in AXYZ? Type the correct answer in the box. Use numerals instead of words. XY = units
Answers
XY = 6 units is the length of XY in AXYZ .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.
Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
using the sine ratio in the right triangle and the exact value
sin30° = 1/2, then
sin30° = XY/XZ = XY/12 = 1/2 ( cross - multiply)
2XY = 12 ( divide both sides by 2 )
XY = 6
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The complete question is -
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
What is m∠B?
A. 67
B. 54
C. 57
D. 150
Answers
The measure of angle B is, 67°.
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;
Interior angles are,
⇒ ∠ C = 83°
⇒ ∠ B = 6x + 7
An exterior angle is,
⇒ ∠ A = 15x
Now, We know that;
The sum of two interior angles in a triangle is equal to the exterior angle in a triangle.
⇒ 83° + 6x + 7 = 15x
⇒ 90 = 15x - 6x
⇒ 90 = 9x
⇒ x = 10
Thus, The measure of B is,
⇒ m ∠B = 6x + 7
= 6×10 + 7
= 60 + 7
= 67
⇒ m ∠B = 67
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Express 1/2 loga16 + 1/3loga27 as logab
Answers
Answer:
[tex]log_{a}[/tex] 12
Step-by-step explanation:
using the properties of logarithms
• nlog x ⇔ log[tex]x^{n}[/tex]
• log x + log y = log (xy)
[tex]\frac{1}{2}[/tex] [tex]log_{a}[/tex] 16 + [tex]\frac{1}{3}[/tex] [tex]log_{a}[/tex] 27
= [tex]log_{a}[/tex] [tex]16^{\frac{1}{2} }[/tex] + [tex]log_{a}[/tex] [tex]27^{\frac{1}{3} }[/tex]
= [tex]log_{a}[/tex] [tex]\sqrt{16}[/tex] + [tex]log_{a}[/tex] [tex]\sqrt[3]{27}[/tex]
= [tex]log_{a[/tex] 4 + [tex]log_{a}[/tex] 3
= [tex]log_{a}[/tex] (4 × 3)
= [tex]log_{a}[/tex] 12
Find the value of x in each parallelogram
Answers
Answer:
Step-by-step explanation:
a) x and 53 are adjacent angles of a parellelogram:
therefore, their sum will be 180 degrees
x + 53 = 180 --> x = 180 - 53 = 127 degrees
b) We know that opposite angles in a parallelogram are equal:
therefore, x = 113 degrees
c) Similarly, x = 80 degrees
d) x + 62 = 180
x = 180 - 62 = 118 degrees
need help asap plssss
Answers
Answer:
1. C
2. D
Step-by-step explanation:
Answer:
For the first question it is C(3rd one) and for the second question it is D(last one)
Step-by-step explanation:
So lets think about what we know here.
We know that Lena was walking at a normal speed.
Then she stopped.
Then she moved slowly.
Since x is time, and y is distance from school, we know that x is going to costantly change, while y will depend on what is happening.
First off, we know she is goiong to school. now away from it. This means that any graph with a increasse in the y value will be incorrect. This gets rid of a and b, whihc are the first two answers.
So y should go up nomrallu, since she was just walking at first.
Now, we know that the distance from school must stop, and then begin to decrease at a slower pace. When lookking at the graphs, only C continues to decrease, while D is constantly not moving.
So the answer is C.
Next.
we know that kala drives at a constant speed.
We know she starts going faster.
Then she slows down.
So we can isntantly remove any graph that completly stops in speed, which means y would be 0, since she is always moving. This gets rid of A and B.
Then we have C and D
Well, remember that after Kala is going at a normal speed, she sped up.
Only one graph has a large spike in speed after a constant speed. THis is D.
So the answer must be D
Hope this helps!
1/2x+y=4
x+1/3=2
solve the linear system
Answers
Answer:
x = 5/3, y = 2/3
Step-by-step explanation:
x/2 +y = 4 equ 1x + 1/3 = 2 equ 2
solve for x in equation 2 and then use it to find y in equation 1Can anyone help me please, I need to figure out the value of n with work shown
Answers
Answer:
n = 15
Step-by-step explanation:
This is a right triangle, and so the Pythagorean Theorem applies:
x^2 + 8^2 = 17^2
Solving for x^2: 17^2 - 8^2 = 289 - 64 = 225, and so x = 15.
n = 15
i will give brainlyest
Answers
Answer:
2. -1/2
4. 3/2
Step-by-step explanation:
Gradient = (Y1 - Y2)/(X1 - X2)
2.
Point 1: (4, -1)
Point 2: (-2, 2)
Gradient = (-1 - 2)/(4 - (-2)) = -3/6 = -1/2
3.
Point 1: (4, 6)
Point 2: (-4, -6)
Gradient = (6 - (-6))/(4 - (-4)) = 12/8 = 3/2
i need help pls i solve half of the equation but the domain is wrong
Answers
Answer:
w
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question
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Han says that the value of the 7 in 735,208 is 10 times the value of the 7 in 137,342. Do you agree with Han
Answers
Han is wrong , we do not agree with him. The value of the 7 in 735,208 is not the 10 times the value of the 7 in 137,342.
The value of 7 here refers to the place value of 7 , in 735,208 7 is at lakhs place whereas in 137,342 , 7 is in thousandth place .
Therefore , Han is wrong as because if we will the 7 in 137,342. when multiplied by 10 will go to the ten thousandth place and not the lakh place.
The place value is a measure which is used to represent the position of each digit in a number . Based on their position in the number, digits are assigned place values such as ones, tens, hundreds, thousands, ten-thousands, and so on. For example, 1 in 512400 has a place value of ten thousands, i.e. 10000.
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What is the image of ( 12 , − 4 ) (12,−4) after a dilation by a scale factor of 1 4 4 1 centered at the origin?
Answers
What is the image of ( 12 , − 4 ) after a dilation by a scale factor of 1/4 centered at the origin is (3, -1)
What is transformation?Transformation is the movement of a point in the coordinate plane. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease of a figure by a scale factor k. If the value of k > 1, then it is an enlargement but if k < 1, it is a reduction.
The point (12, -4) is dilated by a scale factor of 1/4 using the rule (x, y) ⇒ (x/4, y/4). The new point is (4, -1)
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If we remove 11 books from my shelf and multiply the remaining number of books by 12, we will get the same result as of we remove 10 books from the shelf and multiply the remaining number of books by 11. How many books are on my shelf before any are removed?
Answers
Answer:
22
Step-by-step explanation:
I timesed 11 by 12 which is 132 and then timesed 10 with 11 which then gave me 110. I then subtracted 132 with 110 which gave me the answer 22. if we remove 11 from the 22 books we then end up with 11. then times it by 12 = 132. then if you subtract 10 of the 22 books then we end up with 12. then times it by 11 which is 132 as well.
pls help me if you can! ( links = report )
Answers
Answer:
1568
Step-by-step explanation:
14 x 17.5 x 6.4 = 1568
Answer:
1568Step-by-step explanation:
To solve this problem, you have to find the volume.
Volume:
[tex]\sf{V=l*w*h}[/tex]
Length is 14
Width is 17.5
Height is 6.4
Solve.
Multiply.
[tex]\sf{14*17.5*6.4=1568}[/tex]
[tex]\large\boxed{1568}[/tex]
Therefore, the correct answer is 1568.
Which function is shown in the graph below?
y
10
8-
6
2
-10 -8 -6 -
24 8 8 10 x
18+
-10
-107
Answers
Answer:
I'm already past this but the answer is 21
Find the measurement indicated in each parallelogram.
Answers
Therefore , the solution of the given problem of parallelogram comes out to be option D 80 degrees.
Define parallelogram.A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.
Here,
Given : The parallelogram has M angle =100 degree
And to Find :L angle
In a parallelogram sum of the adjacent angle is 180°, So
So ,
Using this parallelogram property ,
we find :
=>100 + L =180
=> L = 80
Thus,
We get the L value using parallelogram properties.
Therefore , the solution of the given problem of parallelogram comes out to be option D 80 degrees.
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Please help me fast 20 points
Answers
Step-by-step explanation:
MY ANSWER IS CORRECT SO GIMME 5 STARS AND BRAINLIEST PLSPLSPLS
Which set of ordered pairs represents y as a function of x?
Please answer my question
A. {(2,2), (3,3), (2,4), (5,5)}
B. {(−1,−2), (−2,−1), (−2,7), (−4,8)}
C. {(−1,6), (4,3), (1,1), (−3,4)}
D. {(0,1), (2,1), (3,1), (0,2)}
Answers
Answer:
C.
Step-by-step explanation:
The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.
I hope ive helped
Skill Builder
Sereka is the rewards program manager for
Landmiles. Clients receive "land miles" for
their purchases that can be traded in for a
financial reward. To determine the value of
the financial reward that clients receive she
uses the following function rule:
f(x)=15{}(x-25)**
x: represents the number of reward miles
traded in and is always an integer value.
f(x): represents the value of the reward in
dollars.
Tristan and Delaney are tasked with testing
the system and made the following reward
redemptions.
• Tristan traded in 1500 miles for a $290
reward.
Delaney traded in her miles for a $383
reward.
If Tristan and Delaney had traded in all
of their miles together, they would have
received a reward of $665. What are
the possible numbers of land miles that
Delaney traded in?
Answers
Answer:
x: represents the number of reward miles
traded in and is always an integer value.
f(x): represents the value of the reward in
dollars.
Tristan and Delaney are tasked with testing
the system and made the following reward
redemptions.
• Tristan traded in 1500 miles for a $290
The ff. test scores were recorded by job applicants: 65, 68, 70, 75, 88, 90, 90, 91, 92. What is the mode
Answers
In the recorded test scores 90 is the mode, as it appears most frequently in the set of ff test scores.
What do you meant by mode?Job applicants submitted their ff test results, which were as follows: 65, 68, 70, 75, 88, 90, 90, 91, and 92. Following that, the Mean (Average) is 81, Median (Middle) is 88, and Mode (Most Common) is 90. The mode can be calculated quite easily.
After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.
The mode is the one that is most prevalent. the quantity that happens the most frequently, or the quantity that appears the most frequently overall. The mode of the numbers 4, 2, 4, 3, 2, and 2 is 2, since it appears three times, more than any other number. The most frequent number in a set of numbers is called the mode.
To find the mode, we first need to put the test scores in order from lowest to highest:
65, 68, 70, 75, 88, 90, 90, 91, 92
Then we can count how many times each number appears:
65: 1 time
68: 1 time
70: 1 time
75: 1 time
88: 1 time
90: 2 times
91: 1 time
92: 1 time
As we can see, the number 90 appears the most with 2 times, so the mode of this set of data is 90.
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Someone help me out my grade are bad
Answers
Answer:
= 15
Step-by-step explanation:
hope this helps
Answer:
15
Step-by-step explanation:
mrk me brainiest plz
The lot is 35 feet wide. The dividers are each 1 foot wide.
If there are 4 parking spaces, calculate how wide each space should be?
Answers
Answer:
8 feet
Step-by-step explanation:
4 parking spots ('4x'), three one-foot dividers = 35
4x + 3 = 35
4x = 32
x = 8
Answer: 8ft.
Step-by-step explanation:
Were doing this in class
How much fabric is used to create the tent, induding the bottom?
A. 276.4
B. 293.2
C. 396.4
D. 466.4
Answers
Answer:
B
Step-by-step explanation:
Find the circumference and the area of a circle with diameter 3cm
Answers
Formula to find the area: A=πr^2
Formula to find circumference: C=2πr
Diameter is twice the length of the radius, so if you're given diameter of 3, the radius is half of that, which that would be 1.5.
A=π(1.5)^2 A= 3.14x1.5^2 = 7.065
Don't forget to round that and that becomes 7.07.
C=2π(1.5) C= 2x3.14x1.5 = 9.42
That stays as it is.
Area= 7.065
Circumference= 9.42
Standardized tests for certain subjects, given to high
Which of the following is the correct interpretation of P(X
school students, are scored on a scale of 1 to 5. Let X
> 4)?
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
• The probability of a of a randomly selected test having
is given in the table.
score of at most 4 is 0.36.
• The probability of a randomly selected test having a
Score
score of at least 4 is 0.36.
Probability
0.18
0.20
0.26
0.21
0.15
• The probability of a randomly selected test having &
score lower than 4 is 0.85.
• The probability of a randomly selected test having a
score higher than 4 is 0.15.
Answers
Answer: • The probability of a randomly selected test having a score higher than 4 is 0.15.
This is the correct interpretation of P(X > 4). P(X > 4) represents the probability of a randomly selected test having a score that is greater than 4. This is calculated by summing up the probability of all the scores that are greater than 4 in the distribution table.
Step-by-step explanation: