Answer:
The answer is given below
Step-by-step explanation:
The statements are not given but from this definition, you should be able to select the correct statement.
Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:
a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.
b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.
c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.
d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. 6 x + 11 y = negative 2. 4 x + 5 y = 12. 8 x + 3 y = negative 4. 5 x + 4 y = 12. 7 x + 8 y = 12. 10 x + 3 y = 8. 17 x + 6 y = 10.
Answer:choice one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I did the test
Can anyone help with this thanks guys!
Answer:
450m squared
Step-by-step explanation:
bc my last answer was wrong (:
Answer:
450 m²
Step-by-step explanation:
The formula for area of a rectangle is A = lw. You are given the length (30 m) and the width (15 m). Plug in the numbers and solve for A.
A = lw
A = (30 m)(15 m)
A = 450 m²
The area of the rectangle is 450 m².
Please solve for x and y. If you do, also write the steps you used.
Answer: a = 8, x = 56, y = 68
Step-by-step explanation:
Was there a description that stated this was a parallelogram?
Since that information was not provided....
I used the Law of Cosines to find x = 56°.
Congruent sides implies congruent angles so Center-Q-R = 56°.
Triangle Sum Theorem results in y = 68°
Vertical angles results in S-Center-P = 68°
Triangle sum Theorem results in S-P-Center = 68°
Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8
Why or why not should we use the metric system in the U.S.A?
Make sure this your own opinion. 4 - 5 sentences please
Answer:
We should definitely be using the metric system in the U.S.A, as 94.7% of the world uses this system. The metric system, moreover the newer more polished system is exclusively the only system used in science. People who are unexperienced with the metric system, may encounter difficulties when dealing with real-life businesses and work that is publicly available globally, as if you need to measure a given contrivance, the metric system will be used. When countries follow a similar system to majority of the others, it will help make that country more open and less inclusive, providing a greater and more civil world.
Answer:
The biggest reasons the U.S. hasn’t adopted the metric system are simply time and money. When the Industrial Revolution began in the country, expensive manufacturing plants became a main source of American jobs and consumer products. Because the Imperial System (IS) of measurements was in place at this time, the machinery used in these factories was developed to size in IS units; all of the workers were trained to deal with IS units; and many products were made to feature IS units. Whenever the discussion of switching unit systems arose in Congress, the passage of a bill favoring the metric system was thwarted by big businesses and American citizens who didn’t want to go through the time-consuming and expensive hassle of changing the country’s entire infrastructure. Many also believed that the United States should keep its particular system, setting it apart from other countries and symbolizing its status as a leader rather than a follower.
Step-by-step explanation:
brainlist plz
Please Help the question is below!!!
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
help me pls
Tell whether lines m and n must be parallel from the given
Information. If they are, state your reasoning.
Answer:
The first one isn't the second one is.
Step-by-step explanation:
In the first one, they have to be equal because they're corresponding angles so m and n are parallel.
In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.
There were 3 bands that
performed at the talent show.
What percent of the 16 group acts
were band performances?
Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
If you're good at bearings please help me
A plane, P, takes off from an airport, A, at 10:15 a, and flies on a bearing S30E at a speed of 700 km/h
Question one
How far due south of the airport, A, is the plane at 1:45 pm?
Question two
What's the compass bearing of the airport from the plane then?
Answer:
Question one
2121.76 km
Question two
(N30°E)
Step-by-step explanation:
The given information are;
The time the plane takes off = 10:15 a.m.
The direction of flight of the plane = S30E
The speed of flight of the plane = 700 km/h
Question one
The of flight at 1:45 p.m. - 10:15 a.m = 3.5 hours
The distance traveled South by the plane is the product of the y-component of the velocity and the time of travel of the plane
The y-component of the velocity = v×cos(θ) = 700 × cos(30) = 350·√3 km/h
The distance traveled = 350·√3 km/h × 3.5 = 2121.76 km
Question two
The compass bearing of the airport the plane is North 30° West (N30°E).
Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
Answer:
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8
Step-by-step explanation:
When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).
Given the following table ...
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.
The values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given a function f(x) and a table where the values of f(x) at different values of x is given.
The table for the values is as follows:
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 |-5 | -8
We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.
When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.
For g(x):
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
Hence, the values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
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Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
How much sugar should Liam use?
Explain why your answer is correct.
Answer:
2/3 cups of sugar
Step-by-step explanation:
Answer:
2/3 cups of sugar
Step-by-step explanation:
If 3 cups of flour: 1 cup of sugar
2 cups of flour: x cup of sugar
Cross multiply
3x = 2 × 1
3 3
x = 2/3
My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.
How can we solve question 13 algebraically? Will give brainliest + 10 points
Answer:
The answer is C.
Step-by-step explanation:
First, you have to make expressions for all the flags :
[tex]let \: blue \: flag = x[/tex]
Green flag cost 10 times the price of blue flag,
[tex]green \: flag = 10 \times x = 10x[/tex]
Red flag is half the price of green flag,
[tex]red \: flag = 10x \div 2 = 5x[/tex]
Orange is 10 dollars less than red flag,
[tex]orange \: flag = 5x - 10[/tex]
Assuming that the total cost of all 4 different coloured flags is $200. So you have to solve the value of x :
[tex]x + 10x + 5x + 5x - 10 = 200[/tex]
[tex]21x - 10 = 200[/tex]
[tex]21x = 200 + 10[/tex]
[tex]21x = 210[/tex]
[tex]x = 210 \div 21 = 10 \: dollars[/tex]
Then, you have to substitute the value of x into the expression of orange flag :
[tex]orange flag = 5x - 10[/tex]
[tex]orange flag = 5(10) - 10[/tex]
[tex]orange flag = 50 - 10[/tex]
[tex]orange flag = 40 \: dollars[/tex]
30 points will give brainliest if correct Please Answer an industrial copy machine
Answer:
f(x) = 16 * ( 3/4) ^x
Step-by-step explanation:
y = a ( b) ^x
where a is the initial value and b is the growth rate
We know when x =0 y = 16
and when x = 1 y = 12
16 = a * b^0
16 = a * 1
a = 16
So the initial value is 16
12 = 16 * b^ 1
Divide each side by 16
12/16 = b^1
3/4 = b
y = 16 * ( 3/4) ^x
Greetings from Brasil...
In the statement are given 2 moments:
X = 0 ⇒ F(0) = 16
and
X = 1 ⇒ F(1) = 12
F(X) = a . bˣ
F(0) = a . b⁰
16 = a . 1
a = 16
F(X) = a . bˣ
F(1) = a . b¹ a=16 calculated above
12 = 16 . b
b = 12/16
b = 3/4 = 0,75
so,
F(X) = 16 . (3/4)ˣAlgebra 1!!
x=2y and 2x+3y=21
-solve the given system of equations by substitution
answers-
a. x=6, y=-3
b. x=6, y=3
c. x=3, y=3
d. x=3, y=6
Answer:
[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]
Answer: (6, 3)
Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.
Our second equation then becomes 2(2y) + 3y = 21.
If we simplify on the left side we get
4y + 3y = 21 which simplifies to 7y = 21.
Solving from here, we find that y = 3.
To find x, plug 3 back in for y in the first equation
to get x = 2(3) which simplifies to x = 6.
So our answer is (6, 3).
If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False
Answer:
[tex]\boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2+3[/tex]
Put x = x -1
[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]
So, it is true.
Answer:
True
Step-by-step explanation:
The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.
Answer:
98
Step-by-step explanation:
Let's say the tens place is x and the ones place is y.
The tens place is one more than the one's place:
x = y + 1
Reversing the digits, plus the original number, is 187:
(10x + y) + (10y + x) = 187
11x + 11y = 187
x + y = 17
Substituting:
y + 1 + y = 17
2y = 16
y = 8
x = 9
The number is 98.
Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
Perry has 24 coins that equal 52 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Perry have? Use the table to guess and check.
Answer:
7 nickels and 17 pennies
Step-by-step explanation:
7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each
Answer:
c
Step-by-step explanation:
How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution
Answer:
A. No Solution
Step-by-step explanation:
To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution
Answer:
A. No solution
Step-by-step explanation:
-7x - 10 - 15x = -22x + 83
-22x - 10 = -22x + 83
0 = 93
Zero doesn't equal to 93, so there are no solutions.
A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.
a percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit
Answer:
[tex]\boxed{Option \ C}[/tex]
Step-by-step explanation:
Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".
Answer:
c) per 100 unit
Step-by-step explanation:
a percent measures a rate:
per cent ⇒ per 100
The correct answer is option c.
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?
Answer: -third
Step-by-step explanation:
solve by elimination x-5y=35 and 3x-6y=51
Answer: x=5 y=-6
(5,-6)
Step-by-step explanation:
Solve by elimination
[tex]\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}[/tex]
multiply x-5y=35 by 3
= 3x-15y=105
[tex]\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}[/tex]
[tex]3x-6y=51[/tex]
-[tex]\underline{3x-15y=105}[/tex]
[tex]9y=-54[/tex]
divide 9 on both sides
y= -6
Now solve for x
you must plug in -6 for y in either equations
i plugged in -6 for y in 3x-15y=105
[tex]3x-15\left(-6\right)=105[/tex]
[tex]3x+15\cdot \:6=105[/tex]
[tex]15\cdot \:6=90[/tex]
[tex]3x+90=105[/tex]
subtract 90 on both sides
[tex]3x=15[/tex]
[tex]\frac{3x}{3}=\frac{15}{3}[/tex]
[tex]x=5[/tex]
Please mark brainliest
Answer:
x=5
y= -6
Step-by-step explanation:
equ= equation
x - 5y= 35 ----- equ (1)
3x - 6y= 51 ----- equ (2)
Multiply equ (1) by 3
3x - 15y= 105 ----- equ(3)
3x - 6y= 51 ----- equ(4)
Subtract equ(4) from equ(3)
-9y= 54
y= -6
Substitute value of y into equ(1)
x - 5 x -6= 35 (the second x here means multiplication)
x + 30= 35
x= 5
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer:
600 blocks
Step-by-step explanation:
Well this question is asking us to find the volume of the rectangular prism.
Dimensions)
L: 12
W: 10
H:5
The formula for the volume of a rectangular prism is l*w*h or B*h.
So 12*10 = 120
120 * 5 = 600 blocks
Thus,
the fort contains 600 blocks.
Hope this helps :)
Answer:
[tex]\boxed{280\ blocks}[/tex]
Step-by-step explanation:
The blocks at the base are:
Length * Width = 10 * 12 = 120 blocks
On the 2nd Layer:
=> 9+11+9+11 = 40 blocks
There are 3 more layers as the 2nd layer:
So, the blocks of these 4 layers are => 4 * 40 = 160 blocks
Total Blocks = Base Blocks + Layer Blocks
=> 120 + 160
=> 280 blocks
Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x + three-halves y = negative one-half x + StartFraction 13 Over 2 EndFraction y = negative one-half x minus 7 y = negative one-half x minus 3
Answer:
y = (-1/2)x - 3
Step-by-step explanation:
Please present the equation symbolically instead of in words:
m = -1/2, passing through (4, -5):
Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:
-5 = (-1/2)(4) + b, or -5 = -2 + b. Then b = -3 and the desired equation is:
y = (-1/2)x - 3
y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)
What is the equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that a line has slope -1/2 and passes through point (4, -5)
The standard equation of a line is y = mx + c where m is the slope of the line.
Solving for c,
-5 = -1/2*4 + c
c = -3
Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)
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please help with this
Answer:
158m^3
Step-by-step explanation:
First, let's figure out the total amount of water in the tank.
It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.
Therefore, the volume is:
[tex]V=(4.5)(6)(8)=216 m^3[/tex]
We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.
We used 58 cubic meters of water, so we simply need to subtract that from 216:
[tex]216m^3-58m^3=158m^3[/tex]
There is still 158 cubic meters of water left in the tank.
Answer:
158 m^3
Step-by-step explanation:
Volume of the tank
= 4.5 * 6 * 8
= 216 m^3.
So amount left in the tank
= 216 - 58
= 158 m^3.
Given: f(x) = xand g(x) = x +1, find g[f(-2)].
1
5
-3
Answer:
-1
Step-by-step explanation:
f(x) = x
g(x) = x +1,
g[f(-2)].
First find f(-2) = -2
Then substitute into g(x)
g(-2) = -2+1
=-1
The equations in this sytem were added to solve for x. What is the value of x? Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18. Negative 5 x = negative 10. x = negative 2 x = negative one-half x = one-half x = 2
Answer:
change your cringe username please lol
Step-by-step explanation:
jk heres the answer D, x = 2
The Value of x would be as follows:
2
Find the value of xGiven that,
Important Equations:
[tex]-8x + 8y = 8[/tex]
(i) [tex]3x - 8y = -18[/tex]
(ii) [tex]-5x - 0 = - 10[/tex]
(iii) Solving equation
By equation
(iii) [tex]x = -10 / -5[/tex]
∵ [tex]x = 2[/tex]
Thus, [tex]2[/tex] is the value of x.
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Pls help xDDDDD thx!
Answer:
-25
Step-by-step explanation:
A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.
Answer:
6x^2 - 14x + 4.
Step-by-step explanation:
5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)
= 5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1
= 6x^2 - 14x + 4.