Answer:
x = 17
Step-by-step explanation:
Given angles are corresponding angles, so they are equal.
8x+20 = 11x-31
Bringing all like terms together,
11x - 8x = 31+20
3x = 51
Divide by 3,
x = 17
Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Please see the attached question and help me solve it.
Answer:
-1
Step-by-step explanation:
The only point on the graph with a y-value of 3 is the point (-1, 3).
That is g(-1) = 3, or x=-1 for g(x) = 3.
Answer:
x=-1
Step-by-step explanation:
g(x)=y = 3
as you can see on the graph, (-1,3)➡ -1 value of x is g(x)=3 ➡g(-1)=3
hope this helps ^-^
Use the picture for the questions 14-16
14. Which point is 4 units from L
15. Name a segment that is congruent to KN
16. What is the midpoint of MI
The required answers are,
14. The point is 4 units from L is M.
15. A segment that is congruent to KN is JG.
16. The midpoint of MI is K.
What is number line?In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
14. The point is 4 units from L
Point L is -4
So, 4 units ahead is -6
So, 4 units from L is M
The point is 4 units from L is M.
15. A segment that is congruent to KN
Length of KN is 3 units
So, Congruent line must have equal length to KN
Thus we have Length of JG is 3 units
Thus JG segment is congruent to KN
16. The midpoint of MI
Now length of MI = 4 units
midpoint of MI = 4 / 2 = 2 units
Thus 2 units between point M and I is K
Thus, the midpoint of MI is K.
Thus, the required answers are,
14. The point is 4 units from L is
15. A segment that is congruent to KN is JG.
16. The midpoint of MI is K.
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Question no 59
Need solution
The area of the shaded region is 104 cm²
How to determine the areaFirst, we need to know that the area of a circle is calculated using the formula;
A = πr²
Such that the parameters of the formula are;
A is the area of the circler is the radiusFirst, let us find the area of the small circle
Area = 3.14 × 4²
Find the square value and multiply, we have;
Area = 50.24cm²
Area of the large circle = 3.14 × 7²
Find the square value and multiply
Area = 153. 86cm²
Area of the shaded region = Area of large circle - area of small circle
= 153.86 - 50.24
= 104 cm²
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The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of larger triangle = 165 ft^2 Thank you!!
9514 1404 393
Answer:
73 ft²
Step-by-step explanation:
The ratio of areas is the square of the ratio of linear dimensions.
smaller area = larger area × ((10 ft)/(15 ft))² = 165 ft² × (4/9)
smaller area = 73 1/3 ft² ≈ 73 ft²
Answer:
Area of the smaller triangle = 73 square feet
Step-by-step explanation:
Area of the larger triangle = 165 square feet
Area of a triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)
\(\frac{1}{2}(\text{Base})(\text{Height})=165\)
\(\frac{1}{2}(15)(\text{Height})=165\)
Height = 22 ft
Since, both the triangles are similar.
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
Let the height of smaller triangle = h ft
Therefore, \(\frac{h}{22}=\frac{10}{15}\)
h = \(\frac{22\times 10}{15}\)
h = 14.67 ft
Area of the smaller triangle = \(\frac{1}{2}(10)(14.67)\)
= 73.33
≈ 73 square feet
what is the estimated sum of 4 5/12 + 3 8/14
A.7
B.7 1/2
C.8
D.9
The estimated sum of 7 83/84 is 8 to the nearest whole number.
Addition of mixed fractions:Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.
Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.
Using the first process:
= 4 5/12 + 3 8/14
The whole number are 4 and 3, adding those two together, we have:
= 7 (5/12 + 8/14)
The L.C.M of 12 and 14 is 84.
= 7( (7×5)+ (6*8) ) /84
= 7 (35+ 48/84)
= 7 (83/84)
To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.
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The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per day in a car. Suppose that for a simple randomsample of 50 Buffalo residents the mean is 22.5 miles a day and the standard deviation is 8.4 miles a day, and for an independent simple random sample of 40 Boston residents themean is 18.6 miles a day and the standard deviation is 7.4 miles a day.a. What is the point estimate of the difference between the mean number of miles thatBuffalo residents travel per day and the mean number of miles that Boston residentstravel per day?b. What is the 95% confidence interval for the difference between the two populationmeans?
Answer:
a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88
b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)
Step-by-step explanation:
a. According to the given data we have the following:
Buffalo residents mean=22.5
Standard deviation=8.4
n=50
Boston residents mean=18.6
Standard deviation=7.4
n=40
Hence, the point estimate is the difference of the means=22.5-18.6=3.9
The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67
Therefore, the difference of miles=n1+n2-2=50+40-2=88
The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.
b. The critical value of t at 95% confidence level and DoF=88 is 1.987
The interval:(x1-x2)+ (critical value* std error)
=3.9-(1.987*1.67),3.9+(1.987*1.67)
Difference between mean=(0.58171,7.21829)
The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)
Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function ??
FE) = e²-
g(x) = ² - 4
O A.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function to the right.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a vertical compression of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the left.
Reset
Next
A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;
g(x) = kf(x)
g(x) = 1/2f(x)
\(g(x) = \frac{1}{2} e^x -4\)
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One final question, what would be the proper way to write this? I thought it was the last one answer but I’m not sure
Answer:
OMG NO- KEEP IT THAT WAY
You're already right! :)
what's the inverse of f(x)=(x+3)^5
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
need help horribly geometry question
Answer:
23.31 ft
Step-by-step explanation:
Reference angle = 47°
Opp = 25 ft
Adj = x
Apply trigonometry ratio TOA:
Tan 47 = Opp/Adj
Tan 47 = 25/x
x*Tan 47 = 25
x = 25/Tan 47
x = 23.3128772 ≈ 23.31 ft (to 2 d.p)
The last traffic light before Maud gets home has a 44% chance of being green when she reaches it. Let I
be the number of times Maud reaches the traffic light before she has to stop at it. Assume that each time is
independent of the others.
Find the mean and standard deviation of T.
Round your answers to one decimal place.
Answer:
Mean = 1.8 times
Standard Deviation = 1.2 Times
Step-by-step explanation:
If tan k times 90 = 0 then k is an even integer.
It is true that If tan k times 90 = 0 then k is an even integer.
What is meant by integer?An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.
Here,
Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).
To Use the unit circle
tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)
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renting company Charge 35 per day to rent
a boat allong with a 50$ one-time cleaning fee.
Enter the equation in y=Mx+b form
Answer:
y=35x+50
Step-by-step explanation:
The 50 is a one-time fee, therefore it is shown as addition
35 per day means that for 3 days, you would pay 105
X represents the number of days
Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.Can you please help me? (Don’t mind the hearts)
angle 3 = 127°.
I hope this may be helpful
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
\(\sqrt{65^2+72^2} = 97\), and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
\(\cos{B} = \frac{72}{97} = 0.74\)
The cosine of ∠V is of 0.74.
25 POINTS PICTURE INCLUDED PLEASE ANSWER I NEED HELP
What expression represents the value of v?
Answer:
that is an obtuse angle and mixed with an aacute, you answer should be 45 or 50 degrees please correct me if im wrong.
Step-by-step explanation:
5.
Put the following fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2
Answer:
4/7, 1/4,1/2, 2/3
Step-by-step explanation:
(65x - 12) angle a
(43x+10) angle b
it’s a vertical angle I just don’t understand.
Answer:
x = 1
Step-by-step explanation:
Vertical angles are opposite angles formed by two lines.
Both the angles are equivalent
65x - 12 = 43x + 10
Subtract 43x from both sides
22x - 12 = 10
add 12 from both sides
22x = 22
Divide each side by 22
x = 22/22
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is [−7,−5)∩[−5,0]?
Answer:
[−7,−5)∩[−5,0] = [-5]
Step-by-step explanation:
A = A1 ∩ A2 means that A contains the intersected elements (shared elements) of A1 and A2
Wite the ratio for sin A.
Answer:
the ratio is 182
Step-by-step explanation:
sana po makatulong
Answer:
sine = opposite leg / hypotenusesin A = BC / ABsin A = 13/85sin A ≈ 0.15ordered pairs of x=7y+2
Answer: The equation x = 7y + 2 is a linear equation in two variables, x and y. To find ordered pairs of x and y that satisfy this equation, we can choose values of y and then solve for x.
For example, if we choose y = 0, then:
x = 7y + 2
x = 7(0) + 2
x = 2
Therefore, the ordered pair (2, 0) satisfies the equation x = 7y + 2.
Similarly, if we choose y = 1, then:
x = 7y + 2
x = 7(1) + 2
x = 9
Therefore, the ordered pair (9, 1) satisfies the equation x = 7y + 2.
We can continue in this manner to find more ordered pairs. However, note that there are infinitely many ordered pairs that satisfy this equation, as the equation represents a line with a slope of 7 and a y-intercept of (0, 2). Therefore, we can choose any value of y and obtain a corresponding value of x that satisfies the equation.
Step-by-step explanation:
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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Six more than 7 times a number equals 10 times the number minus 12.
Answer: 64
Step-by-step explanation:
Answer:
7x + 6 = 10x - 12
Step-by-step explanation:
x = the number
six more than is +6
7 times a number is 7x
10 times the number is 10x
and minus 7 is -7
PLEASE HURRY IM TIMED
If significant digits are used to compute the product of 0.105 and 1000.2000, how many significant digits are there in the answer?
A. 0
B. 1
C. 2
D. 3
The product of 0.105 and 1000.2000 has three significant digits.
The answer is D. 3.
To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.
In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:
0.105 has three significant digits (leading zeros are not significant).
1000.2000 has eight significant digits.
When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.
Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.
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implify 32 + 3(6 − 22) ÷ 6.
options:
A. 10
B.11
C.4
D.7
Hey there!
32 + 3(6 − 22) ÷ 6
= 32 + 3(-16) ÷ 6
= 32 + (-48)/6
= 32 + (-8)
= 32 - 8
= 24
Therefore, your answer SHOULD BE: 24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
24
Step-by-step explanation:
You have to solve this according to BODMAS theorem,
That means,
B - brackets
O - of
D - division
M - multiply
A - addition
S - subtract
Let's solve
32 +3 (6-22) ÷ 6
32 + 3 × (-16) ÷ 6
32 - 48 ÷ 6
32 - 8
24
There were 30 cars and 20 trucks in the parking garage. What is the ratio of cars to total vehicles?
A. 3 to 2
B. 7 to 2
C. 3 to 5
D. 2 to 3
Determine if true:
10x3-20=20
Answer:
False
Step-by-step explanation:
10x3=30
30-20=10
10=20
These equations dont match.
Hence, the equation is false
Answer: This equation is FALSE. The left side 10 does not equal to the right side which is 20.
Step-by-step explanation:
What is the value of X? HELP
with no further informations, just go by looking at it.
it's 90°, all other options are too far off