Answer:
When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent
How do to solve 7x-1 over 22 = 3x+1 over 10
Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.
Find the mean proportion between 28 and 63.
Answer:45.5
Step-by-step explanation:
Pls help simplify! I’ll give brainlest
Answer:
3^12
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
Find the indicated variable in the trapezoid below.
NEED TO FIND x,y, and z
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Answer:
x = 40y = 68z = 128Step-by-step explanation:
The midsegment (x) has a length that is the average of the base lengths:
x = (48 +32)/2 = 80/2
x = 40
__
The end angles are supplementary:
y° = 180° -112° = 68°
y = 68
__
z° = 180° -52° = 128°
z = 128
Help this is do today!!!!!!!! will give extra points!!!! 15+ points
9514 1404 393
Answer:
(x, y) = (-2, 7)
Step-by-step explanation:
Add the first equation to twice the second.
(4x +4y) +2(2x -2y) = (20) +2(-18)
8x = -16 . . . . . . simplify
x = -2 . . . . . . . . divide by 8
__
2(-2) -2y = -18 . . . . .substitute into the second equation
y + 2 = 9 . . . . . . . . . divide by -2
y = 7 . . . . . . . . . . . subtract 2
The solution is (x, y) = (-2, 7).
Can someone help pleasee
Answer:
C
Step-by-step explanation:
im decently sure but dont rely on this answer
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
The ordered pair (3, 2) is the solution of which system
of equations?
Answer:
A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.
Step-by-step explanation:
side and angle properties of a parallelogram (level 2). NO LINKS!!!
Find the value of x, y, and z.
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Answer:
x = 59°y = 40°z = 81°Step-by-step explanation:
The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...
z° +40° = 121°
z° = 81°
__
Adjacent angles of a parallelogram are supplementary, so ...
∠CDA +∠BAD = 180°
x° + 121° = 180°
x° = 180° -121°
x° = 59°
__
Alternate interior angles are congruent, so ...
y° = 40°
no files or links please give me answer
Answer:
I think it is J if not it may be H if they are both wrong i am so so sorry
Step-by-step explanation:
last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures.
Answer:
Percentage increase in the cost of his train ticket = 3% (Approx.)
Step-by-step explanation:
Given:
Cost of annual ticket paid by Patrick last year = £2,534
Cost of annual ticket paid by Patrick current year = £2,612
Find:
Percentage increase in the cost of his train ticket
Computation:
Percentage increase = [(Current - Base) / Base]100
Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100
Percentage increase in the cost of his train ticket = [(78) / 2,534]100
Percentage increase in the cost of his train ticket = [0.03078]100
Percentage increase in the cost of his train ticket = 3.078
Percentage increase in the cost of his train ticket = 3% (Approx.)
A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic
rounded to the nearest tenth of a kilogram?
1202 ka
Answer: 285.2 kg
Step-by-step explanation:
Given
The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]
The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]
Mass of the helium gas is given by the product of density and volume
[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]
Thus, the mass of gas is 285.2 kg
which graph represents this exponential function?
f(x) = 3(2)x -4
Answer:
show a graph?
Step-by-step explanation:
38
Write as a mixed number.
5
Submit
Answer:
37 8/8
Step-by-step explanation:
Solve for xxx in the diagram below.
95/100 can be written as
19/20
13/20
19/10
Answer:
I quite strongly believe that the first option is the correct one since the following applies,
19/20
20*5=100
and
19*5=95
which in the end is equivalent to 95/100
Which number is closest to 1
A. 0.987
b. 0.111
c.0.561
d. 0.786
Answer:
Letter A
Step-by-step explanation:
Just think: which number would have the greatest value if it was rounded to the nearest hundredth
Answer: A
Step-by-step explanation:
I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)
Hope This Helps!
What is the median of the data set shown below? {2,4,4, 6, 6, 8, 10, 11, 11, 11} OA) 7 OB) 7.3 OC) 9 OD) 11
Answer:
The median is going to be 7
Help—
Natalie is having a birthday party and it's time to cut
the cake.
Unfortunately she doesn't know how far she needs to
cut from the center to the edge of the cake.
She remembered the baker told her that the
circumference is 46 inches.
How far should Natalie cut?
**NO spaces
**Include units
**Round to the nearest hundredths
Answer:
7.32 inches
Step-by-step explanation:
The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.
(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)
I hope this helps :))
the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.
Answer:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x - 2[/tex]
[tex]x = \{x|-3,-2,1,5\}[/tex]
Required
The range using set notation
We have:
[tex]g(x) = 2x - 2[/tex]
When [tex]x = -3[/tex]
[tex]g(-3) = 2*-3 - 2 = -8[/tex]
When [tex]x = -2[/tex]
[tex]g(-2) = 2*-2 - 2 = -6[/tex]
When [tex]x = 1[/tex]
[tex]g(1) = 2*1 - 2 =0[/tex]
When [tex]x=5[/tex]
[tex]g(5) = 2*5 - 2 =8[/tex]
So, we have:
[tex]y = -8,-6,0,8[/tex]
Using set notation, the range is:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Work out the mean for the data set below: 207, 208 Give your answer as a decimal.
Answer:
207.5 is the answer.
Step-by-step explanation:
Add up the numbers (207 + 208) = 415.
Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.
That is how you find the mean.
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value for , and round up your answer to the next square meter.
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Answer:
3433 m^2
Step-by-step explanation:
The total surface area is the sum of the end areas and the lateral area.
The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.
End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)
= 0.1256 m^2 +0.44 m^2 = 0.5656 m^2
The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.
P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m
The lateral area of the mailbox is the product of its length and the perimeter of the end piece:
LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2
Then the total surface area of the mailbox is ...
0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2
__
The area of aluminum required for 1863 mailboxes is ...
1863 × 1.8424 m^2 ≈ 3433 m^2
About 3433 square meters of aluminum are needed to make these mailboxes.
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answer:
8.50
Step-by-step explanation:
Find the common ratio for the geometric sequence
-24, -12, -6
Help? Can anyone help me out? I’ll give Brainly! :) thank you!
Answer:
B
Step-by-step explanation:
$970+$2436= $3,406
the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning.
Answer:
27.91 pretzels.
Step-by-step explanation:
Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
89 / 2.5 / 11 = X
35.6 / 11 = X
3.236 = X
3/4 = 0.75
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
please help me and use laws of exponents
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
Find the slope of the lines shown in the graph
need help with this
(A) delta h(t) = 32
Step-by-step explanation:
Average rate of change delta h(t) is given by
[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]
at t = 0, h(0) = 80
at t = 2, h(2) = -16(4) + 64(2) + 80 = 144
Plugging in the numbers
delta h(t) = (144 - 80)/(2 - 0)
= 32