slope: 3
y-intercept: 4
MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.
If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.
What is an equilateral triangle?An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.
The given statements are
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
Here, if a triangle is equilateral, then each of its angles measures 60°.
Therefore, option D is the correct answer.
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From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.
What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?
Answer: help plz
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help
Answer:
Step-by-step explanation:
3(-3) - 2 = -9 - 2 = -11
3(1) - 2 = 3 - 2 = 1
3(5) - 1 = 15 - 1 = 14
plz help me with this ty
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
Simplify 0.05x + 1.02x.
1.07x
1.7
0.17x
Answer:
1.07x
Step-by-step explanation:
Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.
Answer:
It is 1.07x (✿◠‿◠)
What is -14x+28+6x=-44 and show your work pls and thankyou.
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
Option: D is the correct answer.
D) 20.455 <= X <= 20.545
Step-by-step explanation:
We are given The ideal length of a particular metal rod is 20.5 cm.
It is given that:
The measured length may vary from the ideal length by at most 0.045 cm.
By atmost we mean either less than or equal to that amount but not more than that.
It means that:
|X-20.5|≤ 0.045
⇒ -0.045 ≤ X-20.5 ≤ 0.045
⇒ -0.045+20.5 ≤ X ≤ 20+0.045
⇒ 20.455 ≤ X ≤ 20.545.
Hope this helped! <3
The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?
Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]
Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
Aight bois this can be worth a brainliest so y’all better help me out
Answer:
The differences between a physical change and a chemical change are as follows :
Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.Hope I helped!
Best regards ! :D
~[tex] \text{TheAnimeGirl}[/tex]
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
the points on the table lie on a line FInd the slope of the line (x- (-2), 0, 2, 4) (y- 3,4,5,6)
Answer:
Slope= 1/2
Step-by-step explanation:
The slope of the given line is 0.5.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The points on the table lie on a line, as follows;
x: (-2), 0, 2, 4
y: 3,4,5,6
To determine the slope of a line, you can use the formula:
(change in y)/(change in x)
As per the points in the table,
the change in x is (4-(-2)) = 6, and the change in y is (6-3) = 3.
Slope = (3)/(6)
Slope = 1/2
Apply the division operation, and we get
Slope = 0.5
Therefore, the slope of the line is 0.5.
Learn more about the Slope of the Line here:
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Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??
Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94
18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product?
Answer:
48
Step-by-step explanation:
8
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answer:
.
Step-by-step explanation:
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
HELP ME PLEASE I NEED BRAINLIEST
Answer:
11
Step-by-step explanation:
Here, we replace x and y with the values given that x = 6 and y = 2:
=[tex]\frac{3(6)+4}{(2)}[/tex]
= [tex]\frac{18+4}{2}[/tex]
=[tex]\frac{22}{2}[/tex]
=11
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
Find the inverse of f(x) = 3x + 7
Answer:
g(x)=(x-7)/3
Step-by-step explanation:
Answer:
The answer would be [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse
Step-by-step explanation:
Which shows the image of quadrilateral ABCD after the transformation Ro, 90?
Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)
Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
Find out more on transformation at: https://brainly.com/question/1548871
Answer:
B)
Step-by-step explanation:
edge
1. Identify the graph that represents the system of
linear equations
Solve each equation for x.
8. d= f+ fx
Answer:
(d/f)-1=x
Step-by-step explanation:
d=f+fx
d-f=fx
(d-f)/f=x
(d/f)-1=x
Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.
Answer: Choice C) Undefined slope is when there is no vertical change
If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.
This is because the slope formula
m = (y2-y1)/(x2-x1)
has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
Q5.
Here are two fractions.
7/5 and 5/7
Work out which of the fractions is closer to 1
You must show all your working.
Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
5/7 is closer
Step-by-step explanation:
7/5= 49/35=1 14/35
5/7= 25/35
7/5 is 14/35 away from one whereas 5/7 is 10/35 away.
The Wholesome Bakery baked 4 loaves of bread on Thursday, 12 loaves of bread on Friday, 36 loaves of bread on Saturday, 108 loaves of bread on Sunday, and 324 loaves of bread on Monday. If this pattern continues, how many loaves of bread will they bake on Tuesday?
Answer:
once again, the pattern is multiply by 3
Answer:
972
Step-by-step explanation:
the pattern is multiplied by 3
I need help with Regis question.
Answer:
It is 3/13
Step-by-step explanation:
it is because there are 13 total marbles and 3 yellow ones