Answer:
58°
Step-by-step explanation:
Given that,
The measure of two interior angles are 68° and 54º.
We need to find the measurement of the third interior angle.
We know that, the sum of angles of a triangle is equal to 180°. Let the angle is x. So,
x+68+54 = 180
x+122 = 180
x = 180-122
x = 58°
So, the measure of the third interior angle is equal to 58°.
Can someone do eight nine one and two ?
Answer: hello there here are your answers:
8) B multiplication property of zero
9) C additive identify
1) 8
2) -2a-7
Step-by-step explanation:
1) [tex]\frac{3+u}8^{2} \\u=5 \\so\\ \frac{3+5}8^{2} \\3+5=8^{2} \\8^{2} =\\64 \\\\ 64/8=\\\\\\8 \\there.\\\\\\[/tex]
2)[tex]-2(a-7)\\\\-2(a)(-7)\\\\=-2a+14\\\\\\there[/tex]
If a person high jumps 6 feet 2 inches, how many inches is the jump?
Answer:
74 inches
Step-by-step explanation:
1 foot is 12 inches, so 6 x 12 = 72, and just add the other 2 inches to get 74 inches.
Answer:
74 inches.
Step-by-step explanation:
Each foot has 12 inches, so multiply 6 by 12 to get 72 inches. Then add the remaining two inches to get a total of 74 inches.
Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?
The line AB and CD are parallel. Then it is impossible that the line AB intersects the line CD.
What are parallel lines?When the distance between the lines is constant, then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.
Given that ∠ABC = 70° and ∠BCD = 110°.
Then the line AB and the line CD makes the same angle with the line BC.
Hence, the line AB and CD are parallel.
Then it is impossible that the line AB intersects the line CD.
More about the parallel lines link is given below.
https://brainly.com/question/16701300
#SPJ1
Is AABC-ADEF? If so, name which similarity postulate or theorem applies.
75
A. Similar - SSS
B. Similar - AA
0
C. Similar - SAS
D. Cannot be determined
Answer:
B. Similar - AA
Step-by-step explanation:
Two angles in ∆ABC are congruent to two corresponding angles in ∆DEF. Thus, it follows that the third pair of angles of both triangles would also be congruent.
Therefore, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.
This satisfies the AA Similarity Criterion. Therefore, ∆ABC ~ ∆DEF by AA.
Plz help. Last one today. 20 points. Thx!
If someone can pls give me the answer the would be greatly appreciated :)
Step-by-step explanation:
The Answer Is Provided Below ➳
(2²)² = 2⁴/2⁴ = 2⁰ × 2⁰ = 2⁰/2⁰
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(t) =
4 + t + t2
t
G(t) =
Step-by-step explanation:
[tex]G(t) =\displaystyle \int (4 + t + t^2)dt[/tex]
[tex]\:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C[/tex]
Check:
[tex]\dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)[/tex]
Sebastian is going to choose the color pattern
Answer:
use blue red blue red
Step-by-step explanation:
Find x so that B = 3x i +5j is perpendicular to is perpendicular to A=2i - 6j
Answer:
5
Step-by-step explanation:
I'm going to call x, x1 because I want to use x as a variable.
So we have a ray with points (0,0) and (3x1,5) on it. This equation for this ray would be y=5/(3x1)×x.
We have another ray with points (0,0) and (2,-6). This equation for this ray would be y=-6/2×x or y=-3x.
We want these two lines' slopes to be opposite reciprocals. The opposite reciprocal of -3 is 1/3.
So we want to find x1 such that 5/(3x1)=1/3.
Cross multiply: 15=3x1
Divide both sides by 3: 5=x1
We want x1 to be 5 so that 5/(3×5) and -3 are opposite reciprocals which they are.
Another way:
If two vectors are perpendicular, then their dot product is 0.
The dot product of <3x,5> and <2,-6> is 3x(2)+5(-6).
Let's simplify:
6x-30.
We want this to be 0.
6x-30=0
Add 30 on both sides:
6x=30
Divide both sides by 6:
x=5
A basketball player has a 0.498 probability of making a three-point shot. What is the probability that it takes the player 4 tries to make a three-point shot? (Round your answer to three decimals if necessary.)
Answer:
$1
Step-by-step explanation:
because of the dollar it makes sense to be a dollar
HELP PLEASE. Will give maximum points (100). I’m desperate. Will give brainiest for the correct answer, if wrong answer is given on purpose, I will report. Plz help.
Answer:
C, D, D.
Step-by-step explanation:
Problem 6)
We want to determine the equation of the graphed inequality.
First, let's determine the equation of the line for the inequality. We can see that it passes through the points (-2, 0) and (0, 2). Find the slope:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{2-0}{0-(-2)}=\frac{2}{2}=1[/tex]
So, the slope of the line is one.
And since it passes through the point (0, 2), our y-intercept is two. Therefore, the equation of the line is:
[tex]y=x+2[/tex]
Next, notice that the shaded region is below the line. Also, the line itself is also shaded.
Since the shaded region is below the line, y is less than the graph of the line and since the line itself is shaded, our sign is less than or equal to.
Hence:
[tex]y \leq x + 2[/tex]
Our answer is C.
Problem 7)
We have the inequality:
[tex]-2x+8+5x>2x+1[/tex]
First, solve the inequality. Combine like terms:
[tex]3x+8>2x+1[/tex]
Subtract x from both sides:
[tex]x+8>1[/tex]
And subtract 8 from both sides:
[tex]x>-7[/tex]
Therefore, any value greater than -7 will satisfy the inequality.
Out of the choices, the only choice greater than -7 is -5.
So, our answer is D.
Problem 8)
We have the inequality:
[tex]5x+7\leq 8x-3+2x[/tex]
Again, solve the inequality. Combine like terms:
[tex]5x+7\leq 10x-3[/tex]
Subtract 5x from both sides:
[tex]7\leq 5x-3[/tex]
And add three to both sides:
[tex]10\leq 5x[/tex]
Divide both sides by five:
[tex]2\leq x[/tex]
Flip:
[tex]x\geq 2[/tex]
Therfore, any value greater than or equal to 2 will satisfy the inequality.
Out of the choices, the only choice greater than or equal to 2 is 2.
So, our answer is D.
Can someone answer these?
Answer: hello there here are your answers:
5.d associate property of addition
6.b multiplicative identify
7. c Additive identify
Step-by-step explanation:
5) they are just changing up the number in the ()
6) Its the same number or equation on both sides just wrote different
7) that in a given mathematical system leaves unchanged any element to which it is added.
hope this help have a good day bye!
testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then both samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.15, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?w./search?q=%E2%80%8B"At+least%E2%80%8B+one"+is+equivalent+to%E2%80%8B+_______.&oq=%E2%80%8B"At+least%E2%80%8B+one"+is+equivalent+to%E2%80%8B+_______.&aqs=chrome..69i57j0i22i30l3.409j0j4&sourceid=chrome&ie=UTF-8 The probability of a positive test result is nothing
Answer:
(a) [tex]P(Two\ Positive) = 0.2775[/tex]
(b) It is not too low
Step-by-step explanation:
Given
[tex]P(Single\ Positive) = 0.15[/tex]
[tex]n = 2[/tex]
Solving (a):
[tex]P(Two\ Positive)[/tex]
First, calculate the probability of single negative
[tex]P(Single\ Negative) =1 - P(Single\ Positive)[/tex] --- complement rule
[tex]P(Single\ Negative) =1 - 0.15[/tex]
[tex]P(Single\ Negative) =0.85[/tex]
The probability that two combined tests are negative is:
[tex]P(Two\ Negative) = P(Single\ Negative) *P(Single\ Negative)[/tex]
[tex]P(Two\ Negative) = 0.85 * 0.85[/tex]
[tex]P(Two\ Negative) = 0.7225[/tex]
Using the complement rule, we have:
[tex]P(Two\ Positive) = 1 - P(Two\ Negative)[/tex]
So, we have:
[tex]P(Two\ Positive) = 1 - 0.7225[/tex]
[tex]P(Two\ Positive) = 0.2775[/tex]
Solving (b): Is (a) low enough?
Generally, when a probability is less than or equal to 0.05; such probabilities are extremely not likely to occur
By comparison:
[tex]0.2775 > 0.05[/tex]
Hence, it is not too low
(x-5)(X+12)=-70
[tex](x - 5)(x + 12) = - 70[/tex]
Answer:
[tex]x = - 2[/tex]
[tex]x = - 5[/tex]
Step-by-step explanation:
Give
[tex](x - 5)(x + 12)[/tex]
Apply FOIL Method
[tex]x {}^{2} + 7x - 60 = - 70[/tex]
Add 70 on both sides
[tex] {x}^{2} + 7x + 10[/tex]
Factor
[tex](x + 2)(x + 5)[/tex]
So our roots are
x=-2
x=-5
Answer:
dtet
Step-by-step explanation:
dgbyn
How much do I need to subtract from 67/10 to make 6
Answer:
0.7
Step-by-step explanation:
67/10 is the same as 6.7 when you subtract the 0.7 you will remain with 6
If X is a normal random variable with mean 6 and standard deviation 2.0, then find the value x such that P(X > x) is equal to .7054. Group of answer choices5.28
5.46
4.92
7.28
Answer:
Step-by-step explanation:
If X is a normal random variable with a mean of 6 and a standard deviation of 3.0, then find the value x such that P(Z>x)is equal to .7054.
-----
Find the z-value with a right tail of 0.7054
z = invNorm(1-0.7054) = -0.5400
x = zs+u
x = -5400*3+6 = 4.38
What are the slope and the y-intercept of the linear function that is represented by the graph?
Answer:
The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3.
URGENT 50 POINTS
Which equation does the graph below represent?
Answer:
It is indeed y = -4x
Step-by-step explanation:
We see that for every increase of 1 in the x direction, y goes down 4.
Pay attention to the scales of the x and y axes.
Slope = rise/run
we rise -4 and run 1.
so the slope is -4/1 = -4
The y-intercept is at (0,0)
So the equation is y = -4x
suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?
NO LINKS OR ANSWERING YOU DON'T KNOW.
a. 3
b. 12
c. 6
d. 24
Answer:
C. 6
Step-by-step explanation:
Recall that inverse variation is given by:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
We know that y = 48 when x = 3. Substitute:
[tex]\displaystyle (48)=\frac{k}{(3)}[/tex]
Solve for k:
[tex]k=3(48)=144[/tex]
Hence, our equation is:
[tex]\displaystyle y=\frac{144}{x}[/tex]
We want to find x when y = 24. Substitute:
[tex]\displaystyle \frac{24}{1}=\frac{144}{x}[/tex]
Cross-multiply:
[tex]24x=144[/tex]
Divide both sides by 24. Hence:
[tex]x=6[/tex]
Our answer is C.
Lim x>0 (x(e^3x - 1)/(2 - 2cosx))
Evaluating the limand directly at x = 0 yields the indeterminate form 0/0. If L'Hopital's rule is known to you, you can compute the limit by applying it twice:
[tex]\displaystyle\lim_{x\to0}\frac{x\left(e^{3x}-1\right)}{2-2\cos(x)} = \lim_{x\to0}\frac{3xe^{3x}+e^{3x}-1}{2\sin(x)} \\\\\\ = \lim_{x\to0}\frac{9xe^{3x}+6e^{3x}}{2\cos(x)} = \frac62=\boxed{3}[/tex]
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-22-7
O y=-2x-3
Savait
Answer:
y = -2x + 8Step-by-step explanation:
The equation in slope-intercept form: y = mx + b
y + 2 = -2(x - 5)
y + 2 = -2x + 10 {subtract 2 from both sides
y = -2x + 8
What is the equation, in the point-slope form, of the line that is parallel to the given and passes through the point (-1,-1)?
Answer:
y + 1 = 3(x+ 1)
Step-by-step explanation:
(2,3) , (0 ,-3)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-3}{0-2}\\\\=\frac{-6}{-2}\\\\= 3[/tex]
m = 3
Parallel lines have same slope.
m = 3; (-1 , -1)
y -y1 = m (x -x1)
y -[-1] = 3(x -[-1])
y + 1 = 3(x+ 1)
Answer:
D. y+1=3(x+1)
Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money?
Answer:
i hope you understand easily
mark me brainlist
Step-by-step explanation:
The function f(x) is shown in this graph. The function g(x) = -7x - 1. Compare the slopes.
Answer:
D
Step-by-step explanation:
Slope of the first line = (1-3)/1 = -2
Insert a digit in place of each “…” to make numbers that are divisible by 6 if it
is possible:
4…6
?
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
===============================================================
Explanation:
A number is divisible by 6 if both of the following are true
The number is divisible by 2The number is divisible by 3This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are. To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is not a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
-------------------------------
In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.
If f(1) =160 and f(n+1)=-2f(n),
What is f(4)?
Answer:
f(n+1=-2f(n)
f(x)=-2f(n)
f(4)
f(4)=-2f(4)
Answer:
f(4) = - 1280
Step-by-step explanation:
Using the recursive rule and f(1) = 60 , then
f(2) = - 2f(1) = - 2 × 160 = - 320
f(3) = - 2f(2) = - 2 × - 320 = 640
f(4) = - 2f(3) = - 2 × 640 = - 1280
hiii help pls
thansjdjswjejejdjjdjeee
The difference between seven times a number and 9 is equal to five times
the sum of the number and 2. Find the number. Hint: There will be
parenthesis in your equation.
Answer:
The number is 9.5
Step-by-step explanation:
Look at the picture above, it explains everything
Atomic No.
Element
Atomic Wt.
Europium
To take a systematic sample, first choose any number between one and five and write it here: k-23
Using the atomic number to count off elements, let the k value you just chose represent the first element in your
sample. Then, count off every fifth element thereafter. For instance, if you chose k-2, your sample will include
Helium (2), Nitrogen (7), Magnesium (12), and so forth. List each atomic number and atomic weight, starting with k
and adding 5 to the atomic number cach time.
Atomic No. Element
Atomic Wt.
3. Lithium 6.94
63
Isla6
8
v४
16
oxygen
Erbium 167.26
13 nluminum 24.98 23 Tantalum
180.45
18 Argon
39.95
28
platinum
195.DK
23 Vanadium 50.94 83 Bismuth 208.48
Niin
28
86
158.69
Radium 226
33
Arsenic 74.92
93 Neptunium 237
38 Strontium
98
87.62
Californium 251
43 Technutium 98
103 Lawrencium 262
UR
cocaina [12.41
108
Hassium
277
Iodine 126.9
113
No element
o
658 Cerium 140:11 118 Unumactiun
63
294
Find the mean atomic weight of this sample and enter it here: x xytomate : 137
AP statistics
Answer:
Atomic No.
Element
Atomic Wt.
Europium
To take a systematic sample, first choose any number between one and five and write it here: k-23
Using the atomic number to count off elements, let the k value you just chose represent the first element in your
sample. Then, count off every fifth element thereafter. For instance, if you chose k-2, your sample will include
Helium (2), Nitrogen (7), Magnesium (12), and so forth. List each atomic number and atomic weight, starting with k
and adding 5 to the atomic number cach time.
Atomic No. Element
Atomic Wt.
3. Lithium 6.94
63
Isla6
8
v४
16
oxygen
Erbium 167.26
13 nluminum 24.98 23 Tantalum
180.45
18 Argon
39.95
28
platinum
195.DK
23 Vanadium 50.94 83 Bismuth 208.48
Niin
28
86
158.69
Radium 226
33
Arsenic 74.92
93 Neptunium 237
38 Strontium
98
87.62
Californium 251
43 Technutium 98
103 Lawrencium 262
UR
cocaina [12.41
108
Hassium
277
Iodine 126.9
113
No element
o
658 Cerium 140:11 118 Unumactiun
63
294
Find the mean atomic weight of this sample and enter it here: x xytomate : 137
AP statistics
Step-by-step explanation:
Which of the following best describes the relationship between angle a and angle bin the image below?