Which choice shows the corresponding sides as equal ratios?
Option A, DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From the given triangles
In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.
In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.
As the two triangles are similar.
DE/AB=6/3=2
EF/BC=8/4=2
DF/AC=10/5=2
So DE/AB=EF/BC=DF/AC=2
Hence, Option A DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
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Simplify 52 · 59.
511
518
2511
2518
Answer:
5^11
Step-by-step explanation:
The simplification form of the given expression 5² · 5⁹ would be 5¹¹ which is the correct answer that would be an option (A).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
We have to determine the simplification form of the expression 5² · 5⁹.
The given exponential expression below as:
⇒ 5² · 5⁹
Apply the multiplication operation, and add the exponents because the same base of the exponential expression,
⇒ 5² ⁺⁹
⇒ 5¹¹
Therefore, the simplification form of the given expression would be 5¹¹.
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x - 9 = 21
What does x =
Answer:
x=30
Step-by-step explanation:
You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!
what is the slope of y=-4x-8
Answer:
-4
Step-by-step explanation:
y = mx + b
Answer:
-4
Step-by-step explanation:
y=mx+b
m is slope
b is y-intercept
So you line y=mx+b and y=-4x-8
-4 is replacing m so -4 is the slope
Hope this helps!
A cube has a volume of 2197 m. Its surface is to be painted. Each can of paint covers about 40 m2
How many cans of paint are needed?
Answer:
25 cans
Step-by-step explanation:
Let the side length of the cube be s m
Therefore,
[tex] {s}^{3} = 2197 \\ \\ {s}^{3} = {13}^{3} \\ \\ \implies \: s = 13 \: m \\ \\ total \: surface \: area \: of \: cube \\ = 6 {s}^{2} \\ = 6( {13})^{2} \\ = 6 \times 169 \\ = 1,014 \: {m}^{2} \\ \\ no \: of \: cans \: of \: paint \: needed \\ = \frac{1014}{40} \\ = 25.35 \: \\ \approx \: 25[/tex]
The total cost, c, of belonging to two different gyms for m months is shown on the graph. The lines intersect at the point (4,250). Enter numbers in the boxes to explain what the solution means in the situation.
Answer: at 4 months the cost for each gym is $250
Step-by-step explanation:
At 4 month, the cost for each gym is $250
The y axis of the graph represents the membership cost and the x axis represent the number of month.
The lines representing gym A and B intersect at (4, 250).
The point where the lines intersect is when the cost and the month for each gym are the same.
Therefore, at 4 month, the cost for each gym is $250
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if you are smart I will give brainliest
2 + 2enty = ???
Answer:
2enty 2
Step-by-step explanation:
I need help for this problem
Answer:
(-8,-2) try it
Step-by-step explanation:
(GIVING BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)
A new piece of data was recorded and added to the line plot. The difference between the largest and smallest amounts of snow is now 3. What could the new values of the data be?
hi please help i’ll give brainliest please
Answer:
The answer is 3.
Step-by-step explanation:
If z equals 2 then you are supposed to multiply 2 by 3 and then subtract 3 since x equals 3.
Can a triangle have side lengths 4, 4, 7?
1.no
2. Yes
3. not enough information
Which describes the location of 0.65 on the number line?
A) between 1/2 and 2/3 b) between 2/3 and 7/10 C) between 7/10 and 4/5 D) to the right of 4/5
A stick is 6 m long. A rope is 2 times as long as the stick.
(NO SCAMS OR UNKNOWN LINKS! If u do try to, I will immediately report you, without hesitation..)
Answer:
Step-by-step explanation:
wouldn't it be 12 meters? is this isn't what you need ill figure it out and edit this
Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Drawing a perpendicular line segment through a given point on a
given segment
. B. Constructing a circle with a radius from a given line segment
0 C. Finding the midpoint of a segment
D. Drawing a perpendicular line segment from a given point to a
given segment
The constructions that could be accomplished with paper folding are:
A. Drawing a perpendicular line segment through a given point on a given segmentC. Finding the midpoint of a segmentD. Drawing a perpendicular line segment from a given point to a given segmentHow do you find the midpoint of a segment using paper folding?To do the above, one can fold the paper so that the two endpoints of the line segment can be seen on top of each other.
A segment perpendicular to another segment can be done using paper folding by folding the paper so that the paper is folded via the point and the segment that is seen on top of its own self.
Therefore, The constructions that could be accomplished with paper folding are:
A. Drawing a perpendicular line segment through a given point on a given segmentC. Finding the midpoint of a segmentD. Drawing a perpendicular line segment from a given point to a given segmentLearn more about line segment from
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A triangle's side lengths are 15 cm and 10 cm. Write an inequality to determinte the possible measure for the missing side length.
Answer:
the missing side lenght = x
0 < x < 15+10
0 < x < 25 cm
How do I do this????
Answer:
5.41
Step-by-step explanation:
sharon used 2 gallons of ice cream to make ice cream sundaes for her softball team .Each sundae needed a pint of ice cream.
How many ice cream sundaes did Sharon make?
8
8
12
12
16
16
20
Answer:
16 sundaes
Step-by-step explanation:
since one gallon is 8 pints, multiple it by 2 and you get 16.
In order to ride a roller coaster, a rider
must be greater than 48 inches tall. Right
now, Jeff is 45 inches tall. Write an inequality
that describes how many more inches Jeff
must grow in order to ride the roller coaster
HELPPPPPP
Answer:
Step-by-step explanation:
45+x>48
x>3
Answer:
45+x>48
x>3
Step-by-step explanation:
Good Luck! <3
What is the volume of a cone with a radius of 3 and a height of 15? Use
3.14 as pi*
Answer:
141.3 (units³)
Step-by-step explanation:
formula for volume of a cone = V=1/3πr²h
1/3* 3.14 * 3² * 15 = 141.3
hope this helps!
Gary Chain has a total of 37 tapes
and records. The number of tapes
is 3 less than twice the number of
records. How many of each does he have?
A lawnmower is on sale for 45% of its original price of $355 what is the sale price
Answer:
$195.25Step-by-step explanation:
Original price = $355Sale = 45%Sale price:
$355*(100 - 45)/100 = $195.25your sale price should be, $195.25
the origonal price is, $355
sale happens = 45%
Sale price:
$355 times [tex]\frac{(100-45)}{100}[/tex] = $195.25
Hope this helps!
I suck at math so thanks for helping
Answer:
7.5
Step-by-step explanation:
The square has 4 equal sides, so you take the p,(30) and divide it. 30/4 = 7.5
To check your answer add 7.5 four times since the square has 4 equal sides.
7.5 + 7.5 = 15
15 + 7.5 = 22.5
22.5 + 7.5 = 30
A rainbow is an arc of colors that is visible in the sky, caused by the refraction and dispersion of light after rain or other water droplets in the atmosphere .The colours of the rainbow are generally said to be red
Answer:
Red, orange, yellow, green, cyan, blue and purple.
Step-by-step explanation:
The rainbow is a colorful visual and meteorological phenomenon, in which the range of colors that compose the visible light in the sky appears. The phenomenon occurs when the sun's rays fall on raindrops in the Earth's atmosphere and is an example of refraction, after reflection. Each color is refracted at a different angle inside the droplets (which act like small prisms), it undergoes a different deflection and so the visible white light is analyzed in the different colors that compose it.
3) Tell whether the triangle can have the sides with the given lengths. Explain. 6, 16,9
please help i don’t understand this
Answer:
slope of line one: 2/4 or 1/2
line two: 6/1
line 3: 6/3 or 2
line 4: -4/1
to find the slope of a line, you have to use rise/run the number of space going along the y-axis is the rise, and the space of the points on the x-axis is the run.
hope this helps!
Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y = -\frac{2}{5} x-6[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]
So, the slope of the line is [tex]-\frac{2}{5}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]
11. Wilson bought a bus ticket to travel 22 miles to his friend's house. The ticket price was $5.00
for the first 10 miles and $0.50 for each additional 1/2 mile.
How much did Wilson pay for his bus ticket?
A $11.00
B. $14.50
C. $17.00
D. $22.00
Answer:
A
Step-by-step explanation:
22-10=12
total cost=5+12×0.50
=5+6
=11 $
solve the equation for the variable, show your work
11x - 16 = -49
x = _____
Answer:
x = -3Step-by-step explanation:
Given,11x - 16 = -49
=> 11x = - 49 + 16
=> 11x = -33
[tex] = > x = \frac{ - 33}{11} [/tex]
=> x = -3 (Ans)
Answer:
x=-3
Step-by-step explanation:
1. Add 16 to both sides of the equation
11−16=−49
11−16+16=−49+16
2. Simplify.
IF you add the numbers you will get:
11x=-33
3. Divide both sides of the equation by the same term
11=−33
11/11=−33/11
4. Simplify.
x=-3
Hope this helps :)
Aaron is playing a game in which he earns points for a correct answer and loses the same number of points for an incorrect answer. Aaron has zero points. The next question is worth 300 points. Aaron says "It doesn't matter whether I get the answer right or wrong, the absolute value of my score will be 300." Do you agree? Why or why not?
Answer:
You should agree.
Step-by-step explanation:
The absolute value if by definition "the magnitude of a real number without regard to its sign" this means if he earns 300 points on the next question. Yes Aaron's absolute value of points would be 300.
Write a slope intercept equation for the following table
Answer:
y= 3x+1
Step-by-step explanation:
(0,4) shows the y-intercept of +4
Use slope formula to find slope:
7-4/2-1 = 3/1 = 3
M (slope)= 3x
Answer:
y=3x+1
Since we know that the line is increasing by 3 and since when x is equal to zero, and y is equal to 1 we know that we will need to add 1.
So Y=3x+1