Answers
Answer:
2y+6x=180
Step-by-step explanation:
Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.
From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.
Related Questions
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB=2x-12, AC=14, and BC=x+2
Answers
Answer: BC = 10
======================================================
Work Shown:
The term "collinear" means all points fall on the same straight line.
Point B is on segment AC.
Through the segment addition postulate, we can say
AB+BC = AC
This is the idea where we glue together smaller segments to form a larger segment, and we keep everything to be a straight line.
Apply substitution and solve for x
AB+BC = AC
2x-12+x+2 = 14
3x-10 = 14
3x = 14+10
3x = 24
x = 24/3
x = 8
Then we can find the length of BC
BC = x+2
BC = 8+2
BC = 10
--------
Note that AB = 2x-12 = 2*8-12 = 16-12 = 4
and how AB+BC = 4+10 = 14 which matches with AC = 14
Therefore we have shown AB+BC = AC is true to confirm the answer.
Collinear points are points on the same line.
The value of BC is 10
Since points A, B and C are on the same line, where B is between points A and C.
So, we have:
[tex]AC = AB + BC[/tex]
Substitute values for AC, AB and BC
[tex]14 = 2x - 12 + x + 2[/tex]
Collect like terms
[tex]2x +x =14 + 12 - 2[/tex]
[tex]3x =24[/tex]
Divide both sides of the equation by 3
[tex]x =8[/tex]
Substitute 8 for x in BC = x + 2
[tex]BC =8 + 2[/tex]
[tex]BC =10[/tex]
Hence, the value of BC is 10
Read more collinear points at:
https://brainly.com/question/15806521
Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)
Answers
Answer:
D. (7,2)
Step-by-step explanation:
-3 +10 is 7
9-7 is 2.
kinda just put them together, you get (7, 2)
I hope this helps!
pls ❤ and mark brainliest pls!
The image of (-3, 9) is (7,2).
Mathematically speaking, a translation is defined by the following operation:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:
[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]
[tex]P'(x,y) = (7, 2)[/tex]
Hence, the image of (-3, 9) is (7,2).
We kindly invite you to check this question on translation: https://brainly.com/question/12463306
someone please expain how to do this, i’m really confused.
Answers
Answer:
13
Step-by-step explanation:
Basically, we have to plug in 4 for r into g(r). Doing so gives us g(4) = 25 - 3 * 4 = 25 - 12 = 13.
Some more examples:
g(6) = 25 - 3 * 6 = 25 - 18 = 7
g(1) = 25 - 3 * 1 = 25 - 3 = 22
Answer:g(4)=13
Step-by-step explanation:
g(4)=25-3r
25-3(4)
25-12
g(4)=13
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answers
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30PLS HELP ME A THANK YOU AND A BRAINLIST WILL BE REWARDED!!!! :)
Answers
Answer:
[tex]\Large \boxed{{(10x+10)=110}}[/tex]
Step-by-step explanation:
Vertical opposite angles are equal.
[tex](10x+10)=110[/tex]
Answer:
The answer is C.
Step-by-step explanation:
Reason:
For the angles shown, angle (10z+10)° is the same with 110°
So the equation is (10z+10)° = 110°
That's the answer. (C).
A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs?
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the performance of the two groups.
The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction.
Answers
Answer:
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
Step-by-step explanation:
In hypothesis testing, there is a premise or a claim where an analyst want to test or to investigate in an experiment. In this study, different sampling methods are being carried out.
In hypothesis testing, we usually have the null hypothesis and the alternative hypothesis.
The null hypothesis is an established hypothesis which is usually denoted by [tex]H_o[/tex] and it is a currently accepted value or default for a parameter.
On the other hand the alternative hypothesis or the research hypothesis denoted by [tex]H_a[/tex] came into place to challenge the study to be tested.
In the given question , the teacher wants to see the difference in the outcome of the test scores if there will be an improvement. The same is true for hypothesis testing, we tends to see the difference in the test statistics result maybe it is significant or not in order to determine the conclusion on the null hypothesis.
hello :) why is the first one wrong?
Answers
Answer:
The cube only belongs to the x and not 2x.
The statement will only be true if there is a bracket around the 2x.
log₃(2x)³= 3log₃2x
logarithm power rule:
logₐ(x)^y = y ∙ logₐ(x)
Answer:
see explanation
Step-by-step explanation:
Given
[tex]log_{5}[/tex] 2x³
= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³
= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x
(07.06A) Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
Answers
Answer:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Gasoline is a non-polar liquid that will float on water. 400 grams of gasoline is spilled into a puddle of water. If the density of gasoline is 0.665 g/mL, what volume of gasoline is spilled?
Answers
Step-by-step explanation:
here's the answer to your question
a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red.
Answers
Hey there! I'm happy to help!
If we have 6 red marbles and 4 blue marbles, we have 10 total marbles.
First, we have the probability that a marble we draw is red, which is 6/10. This simplifies to 3/5.
If this happens, there are only 5 red marbles left and 9 total ones. So, the probability of drawing a red one again is 5/9.
We multiply these two probabilities together to see the probability of them both happening.
[tex]\frac{3}{5} *\frac {5}{9}= \frac{1}{3}[/tex]
The probability that both marbles are red is 1/3.
Have a wonderful day! :D
how many are 8 raised to 2 ???
Answers
Answer:
The correct answer would be 64 because 8 times 8 would be 64 therefore the answer is 64
Step-by-step explanation:
Please give me the correct answer
Answers
Answer:
Step-by-step explanation:
slant height = l = 15 mm
radius = r = 7 mm
Surface area of cone = πr (l + r) square units
= 3.14 * 7 *(15 + 7)
= 3.14 * 7 * 22
= 483.56 square mm
Match the vocabulary word to its correct definition.
1. complex conjugate the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part
2. complex number the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number
3. i the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number
4. imaginary number a number defined with the property that 12 = -1, so that
5. imaginary part of a complex number the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1
6. multiplicative inverse any nonzero multiple of i; this is the same as the square root of any negative real number
7. real part of a complex number the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs
Answers
Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Answer:
Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Step-by-step explanation:
which has a steeper slope y=-2x or y=-3x
Answers
Answer:
y=-3x
Step-by-step explanation:
3>2. It doesn't matter if some or all of the numbers are negative.
Answer: y = -3x has the steeper slope
==========================================
Explanation:
Any linear equation is of the form y = mx+b, where m is the slope.
For y = -2x, the slope is -2. For y = -3x, the slope is -3.
We just look at the number to the left of x to find the slope.
To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.
In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.
The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.
Jose collects baseball cards. Over the last year, the change in the value of his favorite card is $-7. Which best describes the meaning of interger?
Answers
Answer with explanation:
An integer is a whole number that can be positive, negative, or zero. For example ...-3,-2,-1,0,1,2,3....Here, positive value indicates gain or above something where as negative value indicates loss or below something.If the change in the value of his favorite card is $-7, that simply indicates that he is having a loss of $-7 that can be understand as the value of his this years card must be smaller than the last year card.
Hence, the best describes the meaning of integer:
"he is having a loss of $-7"
NEED IN 10 MIN. WILL GIVE BRAINLEST Solve the triangle. B = 36°, a = 41, c = 17
Answers
Answer:
Yes this is a Triangle
36 degrees of any side then 41 would connct to 36 and 17 would connects to 36 and 41! If this is Khan Academy your asking out of its a Yes, it is a Triangle
HOPE IM THE BRANLIESS UwUAnswer:
It is a triangle:
Step-by-step explanation:
b² = a² + c² - 2(a)(c)cos(B)
b² = 41² + 20² - 2(41)(20)cos(36)
b² = 754.2121292
b = 27.46292281
b = 27.463
A = 41, B = 27.4, C = 17
Barry has been watching the geese that live in his neighborhood. The number of geese changes each week. n f(n) 1 56 2 28 3 14 4 7 Which function best shows the relationship between n and f(n)? f(n) = 28(0.5)n f(n) = 56(0.5)n−1 f(n) = 56(0.5)n f(n) = 112(0.5)n−1
Answers
Answer:
B. f(n) = 56(0.5)^n-1
Step-by-step explanation:
First, You have to find out the starting population, if you look at the problem you see the population starts at 56
f(x) = 56
Second, you know that the population goes down 50% each week so it has a decay of 0.5
f(x) = 56(0.5)
Third, you need to add the exponent of n to make it exponential. But, if you just add n then the the population would be 28 on week 1 which is incorrect. To fix that you make the exponent n-1 so when you are on week 1 it doesn't become 28 but it stays on 56, and on week 2 it's 28, ect
f(x) = 56(0.5)^n-1
find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21
Answers
Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n=12, evaluate your expression using the distributive property.
Answers
Answer:
A. 10(15) + 10n = $ made for babysitting
B. $270
Step-by-step explanation:
B. 10(15) + 10(12)
150 + 120 = $270
How to do this question plz answer me step by step plzz plz
Answers
Answer:
4 cm
Step-by-step explanation:
Volume is given by area of cross section * height
_______________________________
For condition 1
height = 12 cm
base for area of cross section is 5*8
that is length 8 cm and width 5 cm
thus area of cross section = 5*8 = 40 cm square
volume of milk = area of cross section* height of milk = 40*12 = 480 cm cube.
_______________________________________________
now milk is turned such that base of area of cross section will
15 by 8
that is length: 15 cm and width : 8 cm
thus area of cross section = 15*8 = 120 cm square
let the depth of milk be x
thus, volume of milk = area of cross section* height of milk = 120*x
= 120x cm cube
Since milk is in the same container , its volume before and after the change of alignment of container will remain same
thus
120x cm cube = 480 cm
=> x = 480/120 = 4
Thus, depth under given situation will be 4 cm.
a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and will mark brainlist
Answers
Answer:
[tex]\boxed{57ft 10in}[/tex]
Step-by-step explanation:
Hey there!
Well if the length is 18 and 3 inches we need to find the sum of both lengths,
18ft 3in + 18ft 3in = 36ft 6in
Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in
l + w = 57ft 10in
Hope this helps :)
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct? A. The quadratic function has no real zeros and two complex zeros. B. The quadratic function has one distinct real zero and one distinct complex zero. C. The quadratic function has two distinct real zeros and one distinct complex zero. D. The quadratic function has two distinct real zeros.
Answers
Answer: D. The quadratic function has two distinct real zeros.
There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.
This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.
Evaluate the expression for the given value of the variable. −9x − 8, when x = −6
Answers
Answer:
46
Step-by-step explanation:
The expression is:
● -9x - 8
Replace x by -6 to evaluate the expression when x = -6
● -9 ×(-6) - 8
● 54-8
● 46
Answer:
[tex]\huge\boxed{46}[/tex]
Step-by-step explanation:
-9x - 8, when x = -6
Substitute in -6 for x in the expression
-9x - 8
-9(-6) - 8
Multiply -9 * -6
54 - 8
Subtract
[tex]\huge\boxed{46}[/tex]
Hope this helps :)
Para la función f(x) = x + 6, ¿ cuál es
resultado de la función si x=2 ?
Answers
Answer:
f(x) = 8
Step-by-step explanation:
Como x = 2, simplemente lo sustituiría por x en la función y sumaría.
f(x) = 2+6
f(x) = 8
Find the value of x. Round to the nearest tenth.
15.9
12.4
12.8
16.3
Answers
Answer:
x = 15.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 28 = 14/x
x cos 28 = 14
x = 14 / cos 28
x=15.85598
Rounding to the nearest tenth
x = 15.9
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answers
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
w = zh - 6zk². Solve for z
(preferred with steps)
Answers
Answer:
w
z = ------------
h - 6k²
Step-by-step explanation:
w = zh - 6zk²
zh - 6zk² = w
w
z = ------------
h - 6k²
find the area of quadrilateral ABCD
Answers
Answer:
A ≈ 28.5
Step-by-step explanation:
a, b, c
P = a + b + c
Semiperimeter s = [tex]\frac{a+b+c}{2}[/tex]
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
~~~~~~~~~~~~~~~
[tex]P_{ABC}[/tex] = 4.3 + 2.89 + 6.81 = 14
s = 14 ÷ 2 = 7
[tex]A_{ABC}[/tex] = [tex]\sqrt{7(7-4.3)(7-2.89)(7-6.81)}[/tex] = √14.75901 ≈ 3.84
[tex]P_{BCD}[/tex] = 8.59 + 7.58 + 6.81 = 22.98
s = 22.98 ÷ 2 = 11.49
[tex]A_{BCD}[/tex] = [tex]\sqrt{11.49(11.49-8.59)(11.49-7.58)(11.49-6.81)}[/tex] = √609.7343148 ≈ 24.6928
[tex]A_{ABCD}[/tex] = 3.84 + 24.6928 ≈ 28.5
What two numbers are between 3.15?
The options are:
a. 3.0 and 3.1
b. 3.1 and 3.2
c. 3.2 and 3.3
Be quick please, due in 10 minutes!
Answers
Answer:
b 3.1 and 3.2
Step-by-step explanation:
3.15 is the average number of 3.1 and 3.2, because
(3.1+3.2)/2=3.15
Find the inverse of the given function. f(x) = 7x – 4
Answers
Hi there!
[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]
f(x) = 7x - 4
Rewrite f(x) with y:
y = 7x - 4
Swap the x and y variables:
x = 7y - 4
Solve for y:
x + 4 = 7y
y = (x + 4)/7